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Transverse momentum and multiplicityfluctuations in Ar+Sc collisions at CERN SPS
from NA61SHINE
Evgeny Andronov for the NA61SHINE Collaboration
Saint Petersburg State University LUHEP
30 May - 4 June 2016
Critical Point and Onset of Deconfinement 2016Wroclaw Poland
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
223
Outline
I Introduction motivation definitions
I Analysis details
I Preliminary results on PT vs N fluctuations
bull for forward energy selected 40Ar+45Sc collisions and particles producedin strong and EM processes within the NA61SHINE acceptance atradicsNN = 612 762 876 1194 1683 GeV
bull Comparison with the EPOS199 model
bull Comparison with the NA61SHINE data on inelastic p+p interactionsand forward energy selected 7Be+9Be collisions
bull Comparison with the NA49 data on p+p C+C Si+Si and Pb+Pbcollisions
I Conclusions
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
323
Motivation of the NA61SHINE strong interaction programme
(MeV)B
micro200 300 400 500 600
T (
MeV
)
100
120
140
160
180
200
CP
NA49
p+p
C+CSi+Si
Pb+Pb
NA61 collected data
NA61 future data
p+p
Be+Be
Ar+ScXe+La
150A GeVc 13A GeVc
Estimated (NA49) and expected (NA61) chemicalfreeze-out points PRC 73 044905
The NA61SHINE experiment performscomprehensive scan with light and
intermediate mass nuclei in energy range13A-158A GeV
Data taking schedule for the stronginteractions program and its proposed
extension(in gray)
MMP WUT (NA61SHINE) Quark Matter 2015 Kobe Japan September 20 2015 4 17
Estimated (NA49) and expected (NA61) chemicalfreeze-out points F Becattini et al PRC 73044905
Comprehensive scan with light andintermediate mass nuclei in energy range
13A-158A GeV
Data taking schedule and its proposedextension (in gray)
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
423
Strongly intensive fluctuation measures
We consider fluctuation quantities with trivial properties in thereference models (eg WNM or IB-GCE)
Two families of strongly intensive quantities
∆[PT N] = 1ω[pT ]〈N〉 (〈N〉ω[PT ]minus 〈PT 〉ω[N])
Σ[PT N] = 1ω[pT ]〈N〉 (〈N〉ω[PT ] + 〈PT 〉ω[N]minus 2cov(PT N))
where PT =sumN
i=1 pTi
N - multiplicity of charged hadrons in an experimental acceptance
bull Independent of 〈V 〉 and ω[V ] in WNM or IB-GCEbull ∆[PT N] = Σ[PT N] = 1 for the independent particle production model
bull ∆[PT N] = Σ[PT N] = 0 in the absence of fluctuations
MGorenstein MGazdzicki PRC 84014904
MGorenstein et al PRC 88 2024907
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
523
Strongly intensive fluctuation measuresSensitivity to critical point
Analysis of SI fluctuation measures isexpected to give more insight into
CP location
SI quantities for nucleon system with van der Waals EOS in GCE formulation in vicinity of CP
Energy of the particles corresponds to PT
V Vovchenko talk at CPOD2016
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
623
Analysis
I Event selection criteriabull good beam qualitybull no off-time beam particlesbull good main vertex fitbull centrality selected by forward energy
I Track selection criteriabull sufficient number of points inside TPCsbull track trajectory points to interaction pointbull not electron or positronbull pT lt 15 GeVcbull 0 lt yπ lt ybeam (due to poor azimuthal angleacceptance and stronger electron contamination atbackward rapidities)bull NA61SHINE acceptance map
40Ar+45Sc 150A GeVc
0
500
1000
1500
2000
2500
π y-4 -2 0 2 4
[G
eVc
]Tp
0
05
1
15
40Ar+45Sc 19A GeVc
0
200
400
600
800
1000
1200
π y-4 -2 0 2 4
[G
eVc
]Tp
0
05
1
15
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
723
Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5
ent
ries
0
100
200
300
400
500
600
700
N0 100 200
[G
eVc
]T
P
0
20
40
60
Mean x 1047Mean y 3454RMS x 1249RMS y 4695
-+h+hNA61SHINE preliminary
ent
ries
0
200
400
600
800
1000
1200
1400
1600
N0 100 200
[G
eVc
]T
P
0
20
40
60
Mean x 4893Mean y 1512RMS x 6932RMS y 2589
-hNA61SHINE preliminary
ent
ries
0
200
400
600
800
1000
1200
1400
N0 100 200
[G
eVc
]T
P
0
20
40
60
Mean x 5574Mean y 1942RMS x 7555RMS y 3161
+hNA61SHINE preliminary
N PT and PT 2 =sumN
i=1 p2Ti are measured for each event
PT 2 is needed to calculate the scaled variance of the inclusive
pT distribution ω[pT ] =p2TminuspT 2
pTusing only event quantities
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
823
Corrections
K Werner et al PRC 74044902
I MC used for corrections EPOS199 model (version CRMC 153)GEANT321 The simulated data were analysed within the NA61SHINEacceptance
I Corrections for losses due to event and track selections trigger biasesdetector inefficiencies secondary interactions and feed-down from weakdecays for 40Ar+45Sc were performed on the level of the first and secondmoments of measured observables
I Correction factors for 〈N〉 〈N2〉 〈PT 〉 〈P2T 〉 〈N middot PT 〉 and 〈PT 2〉 were
calculated as ratios of the corresponding moments for pure toreconstructed MC for positively negatively and all charged hadronsseparately
Note on errorsStatistical uncertainties were calculated using the sub-sample method They aretypically smaller than the marker size
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
923
∆Σ[PT N] effect of corrections40Ar+45Sc 0-5
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
UncorrectedCorrectedReconstructed EPOS199Pure EPOS199
The correction changes uncorrected data by no more than 10Systematic uncertainties are under investigation (first estimates - 2 for 3 low
energies and of about 5 for 2 top energies)
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1023
∆Σ[PT N] effect of corrections40Ar+45Sc 0-5
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
UncorrectedCorrectedReconstructed EPOS199Pure EPOS199
Systematic uncertaintiesare under investigation(first estimates - 2 for3 low energies and ofabout 5 for 2 topenergies)
Magnitude of correctionsis similar for negativelyand positively chargedhadrons
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1123
Preliminary results
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1223
∆Σ[PT N] energy dependence40Ar+45Sc 0-5 vs EPOS199 0-5
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
NA61SHINE 0-5
EPOS199 0-5
The EPOS199 model overestimates ∆[PT N]
Weak and smooth energy dependence of ∆[PT N] and Σ[PT N] noevidence of anomalies related to CP
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1323
∆Σ[PT N] energy dependence40Ar+45Sc 0-5 vs EPOS199 0-5
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
NA61SHINE 0-5
EPOS199 0-5
Weak and smoothenergy dependence of∆[PT N] and Σ[PT N]no evidence of anomaliesrelated to CP
EPOS describes better∆[PT N] for negativelycharged hadrons andΣ[PT N] for positivelycharged hadrons
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1423
∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structures which could be related to CP are visible
Systematic uncertainties are under investigation (first estimates - 2 for 3 low
energies and of about 5 for 2 top energies)
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1523
∆Σ[PT N] energy vs system size scanp+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[P∆
06
08
1
12
NA61SHINE preliminary
-+h+h
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[PΣ
09
1
11
12
NA61SHINE preliminary
-+h+h
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structures which could be related to CP are visible
Mean number of wounded nucleons 〈W 〉 estimated using the GLISSANDOmodel
Statistical uncertainties are less than 1 for all points and not drawn Systematic
uncertainties are under investigation (first estimates - 2 for 3 low energies and
of about 5 for 2 top energies)
W Broniowski M Rybczynski PRC 81 064909
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1623
∆Σ[PT N] energy vs system size scanp+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[P∆
06
08
1
12
NA61SHINE preliminary
-h
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[PΣ
09
1
11
12
NA61SHINE preliminary
-h
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[P∆
06
08
1
12
NA61SHINE preliminary
+h
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[PΣ
09
1
11
12
NA61SHINE preliminary
+h
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structures which could be related to CP are visible
∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems
1) Bose-Einsteinstatistics of pion gas2) negative M (pT )vs N correlationleads to the sameinequalitiesMGorenstein KGrebieszkow PRC
89034903
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1723
Comparison with Pb+Pb results from NA49
To compare results of pT fluctuations NA49 cuts were applied toNA61SHINE dataIn NA49bull because of high density of tracks analysis was limited toforward-rapidity region (11 lt yπ lt 26)bull to exclude elastically scattered or diffractively produced protonsanalysis was limited in proton rapidity (yp lt ybeam minus 05)bull 0005 lt pT lt 15 GeVcbull common azimuthal acceptance for all energies (only for energydependence analysis)
T Anticic et al (NA49 Collaboration) PRC 92 no4044905
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1823
∆Σ[PT N] energy dependence40Ar+45Sc vs Pb+Pb (NA49 acceptance)
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
Sc 0-5 in NA49 acc45Ar+40
Pb+Pb 0-72 (NA49)
Results for 40Ar+45Sc collisions are very close to Pb+Pb No prominentstructures which could be related to CP are visible
∆[PT N] lt 1 and Σ[PT N] is consistent with 1 for both systemsT Anticic et al (NA49 Collaboration) PRC 92 no4044905
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1923
∆Σ[PT N] energy dependence40Ar+45Sc vs Pb+Pb (NA49 acceptance)
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
Sc 0-5 in NA49 acc45Ar+40
Pb+Pb 0-72 (NA49)
No prominent structureswhich could be relatedto CP are visible
∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems
T Anticic et al (NA49 Collaboration) PRC 92 no4044905
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2023
∆Σ[PT N] system size dependenceNA49 acceptance
rangWlang1 10 210 310
N]
T[P∆
06
08
1
12
14 -+h+h
NA61SHINE preliminary
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -+h+h
NA61SHINE preliminary
150-158A GeVc
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -+h+h
NA61SHINE preliminary
p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)
p+p in NA49 acc
Be+Be in NA49 acc
Ar+Sc 0-5 in NA49 acc
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -+h+h
NA61SHINE preliminary
p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)
p+p in NA49 acc
Be+Be in NA49 acc
Ar+Sc 0-5 in NA49 acc
No prominent structures which could be related to CP are visible
∆[PT N] is more sensitive to centrality selection than Σ[PT N]
T Anticic et al (NA49 Collaboration) PRC 92 no4044905
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2123
∆Σ[PT N] system size dependenceNA49 acceptance
rangWlang1 10 210 310
N]
T[P∆
06
08
1
12
14 -h
NA61SHINE preliminary
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -h
NA61SHINE preliminary
rangWlang1 10 210 310
N]
T[P∆
06
08
1
12
14 +h
NA61SHINE preliminary
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 +h
NA61SHINE preliminary
150-158A GeVc
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -+h+h
NA61SHINE preliminary
p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)
p+p in NA49 acc
Be+Be in NA49 acc
Ar+Sc 0-5 in NA49 acc
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -+h+h
NA61SHINE preliminary
p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)
p+p in NA49 acc
Be+Be in NA49 acc
Ar+Sc 0-5 in NA49 acc
No prominent structureswhich could be relatedto CP are visible
∆[PT N] for less centralcollisions (C+C Si+Si)deviates stronger fromother measurementsthan Σ[PT N]
T Anticic et al (NA49 Collaboration)
PRC 92 no4044905
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2223
Conclusions - 1
bull Preliminary results on PT vs N fluctuations for forward energyselected 40Ar+45Sc collisions with particles produced in strong andEM processes within the NA61SHINE acceptance atradicsNN = 612 762 876 1194 1683 GeV were reported
bull Uncorrected and corrected measurements of strongly intensivequantities ∆[PT N] and Σ[PT N] were shown
bull The results were compared with 1) the NA61SHINE data onp+p and 7Be+9Be collisions 2) the NA49 data on p+p C+CSi+Si and Pb+Pb collisions 3) the predictions of the EPOS199model
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2323
Conclusions - 2
bull No clear indications of CP in strongly intensive PT vs N fluctuationmeasures were observedbull Analyses more sensitive to CP (intermittency higher momentsidentified particle ratio fluctuations etc) of the NA61SHINE are inprogressbull See dedicated NA61SHINE talks on higher moments by MMackowiak-Pawlowska and on intermittency by N Davis on Friday
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[P∆
06
08
1
12
NA61SHINE preliminary
-+h+h
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[PΣ
09
1
11
12
NA61SHINE preliminary
-+h+h
Waiting for p+Pb Xe+La and Pb+Pb
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2423
evgenyandronovcernch
Thank You
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2523
Back-up
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2623
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2723
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2823
LMPD
Four large volume Time Projection Chambers (TPCs) VTPC-1 VTPC-2 (inside superconducting magnets) MTPC-L MTPC-R measurement of dEdx and p Time of Flight (ToF) detector walls
Projectile Spectator Detector (PSD) for centrality measurement (energy of projectile spectators) and determination of reaction plane resolution of 1 nucleon () in the studied energy range (important for fluctuation analysis)
Helium beam pipes inside VTPC-1 and VTPC-2 (to reduce -electrons)
Z-detector (measures ion charge for on-line selection of secondary ions A-detector (measures mass composition of secondary ion beam)
Low Momentum Particle Detector (LMPD) for centrality determination in p+A measures target nucleus spectators
PSD
Large acceptance asymp 50 High momentum resolution σ(p)p2asymp10-4(GeVc)-1 (at full B=9 T∙m) ToF walls resolution ToF-LR σ(t)asymp60 ps ToF-F σ(t)asymp120 ps Good particle identification σ(dEdx)ltdEdxgtasymp004 σ(minv)asymp5 MeV
High detector efficiency gt 95 Event rate 70 eventssec
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2923
Centrality determinationDue to the differences in magnetic field PSD position and Fermimotion for various energies different set of modules is chosen tocalculate the EF
Centrality selection in Ar+Sc collisionsProjectile Spectator Detector
Due to the differences in magnetic field and PSD position for variousenergies different set of modules is chosen to calculate the EF
13 AGeVc 19 AGeVc 30 AGeVc
40 AGeVc 75 AGeVc 150 AGeVc
The module sets are chosen on the basis of corelations between energyand multiplicity for each module
5 1The module sets are chosen on the basis of corelations betweenenergy and multiplicity for each module
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3023
Statistics40Ar+ 45Sc 0minus 5 0 lt yπ lt ybeam
Event stats 19 30 40 75 150
Total 21M 31M 19M 41M 28M
Selected 01M 02M 01M 05M 01M
Track stats 19 30 40 75 150
Total 22M 54M 35M 156M 55M
Selected 5M 11M 8M 37M 15M
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3123
[PT N] fluctuations
PT =sumN
i=1 pTi
∆[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ]minus 〈PT 〉ω[N])
Σ[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ] + 〈PT 〉ω[N]minus 2cov(PT N))
Here
ω[PT ] =〈P2
T 〉minus〈PT 〉2〈PT 〉 〈〉 - average over all events
ω[N] = 〈N2〉minus〈N〉2〈N〉
ω[pT ] =p2TminuspT 2
pT middot - average over all particles
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3223
∆Σ[PT N] effect of correctionsp+p vs 7Be+9Be
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
p+p uncorrectedp+p corrected
Be 0-5 uncorrected9Be+7 Be 0-5 corrected9Be+7
Corrections are larger for ∆[PT N] in p+p and for Σ[PT N] in 7Be+9Be
SI fluctuation measures do not change their energy dependence after corrections
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3323
∆Σ[PT N] acceptance dependencep+p
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
p+p full NA61 acc
beamp+p 0ltylty
Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]
Energy dependence trend is the same for full and limited acceptance
Systematic uncertainties for limited acceptance are expected to be ofabout uncertainties for full acceptance
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3423
∆Σ[PT N] acceptance dependencep+p
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
p+p full NA61 acc
beamp+p 0ltylty
Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]
∆[PT N] and Σ[PT N]changes due toacceptance are morepronounced for positivelycharged hadrons
It can be indication ofstronger ∆++ resonancedecay contribution forfull acceptance case
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3523
∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc
Centrality classes from 0minus 1 to 0minus 10
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
30A GeVc
30A GeVc EPOS199
Σ[PT N] is less centrality dependent than ∆[PT N] both in data and inthe EPOS199 model
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3623
∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12+h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
30A GeVc
30A GeVc EPOS199
The EPOS199 modeldescribes better∆[PT N] for negativelycharged hadrons andΣ[PT N] for positivelycharged hadrons
Σ[PT N] is lesscentrality dependentthan ∆[PT N] fornegatively and positivelycharged hadrons
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3723
∆Σ[PT N] energy dependence for 2 centrality classes40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
Corrected 0-5
Corrected 0-1
Σ[PT N] is less centrality dependent than ∆[PT N]
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3823
Centrality dependence
centrality
] - N
T[PΣ
] or
-
NT
[P∆]
or
-[N
ω
1
10
0-5 0-10 0-15 0-20
UrQMD 33 20A GeVneg charged
]-[Nω]- N
T[P∆
]- NT
[PΣ
(a)
centrality
] - N
T[PΣ
] or
-
NT
[P∆]
or
-[N
ω
1
10
0-5 0-10 0-15 0-20
UrQMD 33 20A GeVneg charged
lt 2π
0 lt y
]-[Nω]- N
T[P∆
]- NT
[PΣ
(b)
Figure 5 (Color online) The UrQMD results for the centrality dependence of ω[Nminus] (squares)
∆[PT Nminus] (circles) and Σ[PT Nminus] (triangles) in Pb+Pb collisions at Elab = 20A GeV A centrality
selection is done with a restriction on the impact parameter b (a) The full 4π detector acceptance
(b) Only particles with center of mass rapidity in the interval 1 lt yπ lt 2 are accepted (pion mass was
assumed for all particles) Open symbols correspond to the case when 10 of particles was randomly
rejected
and we call it acceptance losses On the other hand even in this accepted kinematic region we
still may have efficiency losses due to track reconstruction problems (including problems with
ionization energy loss dEdx reconstruction)
The UrQMD results for negatively charged particles in Pb+Pb collisions at Elab = 20A GeV
for the full 4π acceptance and for the particles accepted only in the center of mass rapidity
interval 1 lt yπ lt 2 are shown in Fig 5 (a) and (b) respectively (full symbols) From a
comparison of the results for the full and limited detector acceptance one observes rather strong
effects of acceptance losses for the scaled variance ω[Nminus] The strongly intensive measures
∆[PT Nminus] and Σ[PT Nminus] look again more appropriate The effects of the limited acceptance
are rather moderate for ∆[PT Nminus] and almost absent for Σ[PT Nminus] We also would like to stress
that the acceptance dependence shown in Fig 5 is the example only In general the measured
25
MGorenstein KGrebieszkow PRC 89034903
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3923
∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structures which could be related to CP are visible
Systematic uncertainties are under investigation (first estimates - 2 for 3 low
energies and of about 5 for 2 top energies)
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4023
∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structureswhich could be relatedto CP are visible
∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems
Systematic uncertainties
are under investigation
(first estimates - 2 for 3
low energies and of about
5 for 2 top energies)
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4123
Σ[PT N] system size dependence
Linear fit Parabolic fit
10 210
098
1
102
104
106
108
Graph ndf 2χ 4872 4
p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus
ndf 2χ 4872 4p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus
Graph
10 210
098
1
102
104
106
108
Graph ndf 2χ 3119 3
p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus
ndf 2χ 3119 3p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus
Graph
Gaussian fit
10 210
098
1
102
104
106
108
Graph ndf 2χ 3124 3
Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421
ndf 2χ 3124 3Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421
Graph
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4223
Corrections
Corrections for contamination from off-target interactions for40Ar+45Sc were not applied but with applied vertex positionselection they are expected to be less than 1
MMP WUT (NA61SHINE) Quark Matter 2015 Kobe Japan September 20 2015 19 17
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4323
Obtaining 〈W 〉
Glissando MC is based on Glauber model whereas EPOS utilizesparton ladder model
rdquoin our case the inelastic Nucleon-Nucleon cross-section in anucleus is smaller than the corresponding pp cross-section leadingto less binary collisions than in standard Glauberrdquo
Tanguy Pierog core EPOS developer
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4423
Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons
ent
ries
0
100
200
300
400
500
600
700
N0 100 200
[G
eVc
]T
P
0
20
40
60
Mean x 1047Mean y 3454RMS x 1249RMS y 4695
-+h+hNA61SHINE preliminary
]2c2 [GeVT2P0 20 40
]2G
eV2
) [c
T2
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 17RMS 3164
NA61SHINE preliminary
N PT and PT 2 =sumN
i=1 p2Ti are measured for each event
PT 2 is needed to calculate the scaled variance of the inclusive
pT distribution ω[pT ] =p2TminuspT 2
pTusing only event quantities
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4523
Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons
N PT and PT 2 =sumN
i=1 p2Ti are measured for each event
PT 2 is needed to calculate the scaled variance of the inclusive
pT distribution ω[pT ] =p2TminuspT 2
pTusing only event quantities
N0 100 200
P(N
)
5minus10
4minus10
3minus10
2minus10
Mean 1047RMS 1249
NA61SHINE preliminary
[GeVc]TP0 20 40 60
) [c
GeV
]T
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 3453RMS 4701
NA61SHINE preliminary
[GeVc]TNP0 5000 10000 15000
) [c
GeV
]T
P(N
P
7minus10
6minus10
5minus10
4minus10
Mean 3665RMS 8972
NA61SHINE preliminary
]2c2 [GeVT2P0 20 40
]2G
eV2
) [c
T2
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 17RMS 3164
NA61SHINE preliminary
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
223
Outline
I Introduction motivation definitions
I Analysis details
I Preliminary results on PT vs N fluctuations
bull for forward energy selected 40Ar+45Sc collisions and particles producedin strong and EM processes within the NA61SHINE acceptance atradicsNN = 612 762 876 1194 1683 GeV
bull Comparison with the EPOS199 model
bull Comparison with the NA61SHINE data on inelastic p+p interactionsand forward energy selected 7Be+9Be collisions
bull Comparison with the NA49 data on p+p C+C Si+Si and Pb+Pbcollisions
I Conclusions
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
323
Motivation of the NA61SHINE strong interaction programme
(MeV)B
micro200 300 400 500 600
T (
MeV
)
100
120
140
160
180
200
CP
NA49
p+p
C+CSi+Si
Pb+Pb
NA61 collected data
NA61 future data
p+p
Be+Be
Ar+ScXe+La
150A GeVc 13A GeVc
Estimated (NA49) and expected (NA61) chemicalfreeze-out points PRC 73 044905
The NA61SHINE experiment performscomprehensive scan with light and
intermediate mass nuclei in energy range13A-158A GeV
Data taking schedule for the stronginteractions program and its proposed
extension(in gray)
MMP WUT (NA61SHINE) Quark Matter 2015 Kobe Japan September 20 2015 4 17
Estimated (NA49) and expected (NA61) chemicalfreeze-out points F Becattini et al PRC 73044905
Comprehensive scan with light andintermediate mass nuclei in energy range
13A-158A GeV
Data taking schedule and its proposedextension (in gray)
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
423
Strongly intensive fluctuation measures
We consider fluctuation quantities with trivial properties in thereference models (eg WNM or IB-GCE)
Two families of strongly intensive quantities
∆[PT N] = 1ω[pT ]〈N〉 (〈N〉ω[PT ]minus 〈PT 〉ω[N])
Σ[PT N] = 1ω[pT ]〈N〉 (〈N〉ω[PT ] + 〈PT 〉ω[N]minus 2cov(PT N))
where PT =sumN
i=1 pTi
N - multiplicity of charged hadrons in an experimental acceptance
bull Independent of 〈V 〉 and ω[V ] in WNM or IB-GCEbull ∆[PT N] = Σ[PT N] = 1 for the independent particle production model
bull ∆[PT N] = Σ[PT N] = 0 in the absence of fluctuations
MGorenstein MGazdzicki PRC 84014904
MGorenstein et al PRC 88 2024907
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
523
Strongly intensive fluctuation measuresSensitivity to critical point
Analysis of SI fluctuation measures isexpected to give more insight into
CP location
SI quantities for nucleon system with van der Waals EOS in GCE formulation in vicinity of CP
Energy of the particles corresponds to PT
V Vovchenko talk at CPOD2016
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
623
Analysis
I Event selection criteriabull good beam qualitybull no off-time beam particlesbull good main vertex fitbull centrality selected by forward energy
I Track selection criteriabull sufficient number of points inside TPCsbull track trajectory points to interaction pointbull not electron or positronbull pT lt 15 GeVcbull 0 lt yπ lt ybeam (due to poor azimuthal angleacceptance and stronger electron contamination atbackward rapidities)bull NA61SHINE acceptance map
40Ar+45Sc 150A GeVc
0
500
1000
1500
2000
2500
π y-4 -2 0 2 4
[G
eVc
]Tp
0
05
1
15
40Ar+45Sc 19A GeVc
0
200
400
600
800
1000
1200
π y-4 -2 0 2 4
[G
eVc
]Tp
0
05
1
15
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
723
Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5
ent
ries
0
100
200
300
400
500
600
700
N0 100 200
[G
eVc
]T
P
0
20
40
60
Mean x 1047Mean y 3454RMS x 1249RMS y 4695
-+h+hNA61SHINE preliminary
ent
ries
0
200
400
600
800
1000
1200
1400
1600
N0 100 200
[G
eVc
]T
P
0
20
40
60
Mean x 4893Mean y 1512RMS x 6932RMS y 2589
-hNA61SHINE preliminary
ent
ries
0
200
400
600
800
1000
1200
1400
N0 100 200
[G
eVc
]T
P
0
20
40
60
Mean x 5574Mean y 1942RMS x 7555RMS y 3161
+hNA61SHINE preliminary
N PT and PT 2 =sumN
i=1 p2Ti are measured for each event
PT 2 is needed to calculate the scaled variance of the inclusive
pT distribution ω[pT ] =p2TminuspT 2
pTusing only event quantities
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
823
Corrections
K Werner et al PRC 74044902
I MC used for corrections EPOS199 model (version CRMC 153)GEANT321 The simulated data were analysed within the NA61SHINEacceptance
I Corrections for losses due to event and track selections trigger biasesdetector inefficiencies secondary interactions and feed-down from weakdecays for 40Ar+45Sc were performed on the level of the first and secondmoments of measured observables
I Correction factors for 〈N〉 〈N2〉 〈PT 〉 〈P2T 〉 〈N middot PT 〉 and 〈PT 2〉 were
calculated as ratios of the corresponding moments for pure toreconstructed MC for positively negatively and all charged hadronsseparately
Note on errorsStatistical uncertainties were calculated using the sub-sample method They aretypically smaller than the marker size
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
923
∆Σ[PT N] effect of corrections40Ar+45Sc 0-5
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
UncorrectedCorrectedReconstructed EPOS199Pure EPOS199
The correction changes uncorrected data by no more than 10Systematic uncertainties are under investigation (first estimates - 2 for 3 low
energies and of about 5 for 2 top energies)
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1023
∆Σ[PT N] effect of corrections40Ar+45Sc 0-5
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
UncorrectedCorrectedReconstructed EPOS199Pure EPOS199
Systematic uncertaintiesare under investigation(first estimates - 2 for3 low energies and ofabout 5 for 2 topenergies)
Magnitude of correctionsis similar for negativelyand positively chargedhadrons
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1123
Preliminary results
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1223
∆Σ[PT N] energy dependence40Ar+45Sc 0-5 vs EPOS199 0-5
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
NA61SHINE 0-5
EPOS199 0-5
The EPOS199 model overestimates ∆[PT N]
Weak and smooth energy dependence of ∆[PT N] and Σ[PT N] noevidence of anomalies related to CP
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1323
∆Σ[PT N] energy dependence40Ar+45Sc 0-5 vs EPOS199 0-5
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
NA61SHINE 0-5
EPOS199 0-5
Weak and smoothenergy dependence of∆[PT N] and Σ[PT N]no evidence of anomaliesrelated to CP
EPOS describes better∆[PT N] for negativelycharged hadrons andΣ[PT N] for positivelycharged hadrons
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1423
∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structures which could be related to CP are visible
Systematic uncertainties are under investigation (first estimates - 2 for 3 low
energies and of about 5 for 2 top energies)
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1523
∆Σ[PT N] energy vs system size scanp+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[P∆
06
08
1
12
NA61SHINE preliminary
-+h+h
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[PΣ
09
1
11
12
NA61SHINE preliminary
-+h+h
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structures which could be related to CP are visible
Mean number of wounded nucleons 〈W 〉 estimated using the GLISSANDOmodel
Statistical uncertainties are less than 1 for all points and not drawn Systematic
uncertainties are under investigation (first estimates - 2 for 3 low energies and
of about 5 for 2 top energies)
W Broniowski M Rybczynski PRC 81 064909
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1623
∆Σ[PT N] energy vs system size scanp+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[P∆
06
08
1
12
NA61SHINE preliminary
-h
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[PΣ
09
1
11
12
NA61SHINE preliminary
-h
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[P∆
06
08
1
12
NA61SHINE preliminary
+h
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[PΣ
09
1
11
12
NA61SHINE preliminary
+h
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structures which could be related to CP are visible
∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems
1) Bose-Einsteinstatistics of pion gas2) negative M (pT )vs N correlationleads to the sameinequalitiesMGorenstein KGrebieszkow PRC
89034903
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1723
Comparison with Pb+Pb results from NA49
To compare results of pT fluctuations NA49 cuts were applied toNA61SHINE dataIn NA49bull because of high density of tracks analysis was limited toforward-rapidity region (11 lt yπ lt 26)bull to exclude elastically scattered or diffractively produced protonsanalysis was limited in proton rapidity (yp lt ybeam minus 05)bull 0005 lt pT lt 15 GeVcbull common azimuthal acceptance for all energies (only for energydependence analysis)
T Anticic et al (NA49 Collaboration) PRC 92 no4044905
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1823
∆Σ[PT N] energy dependence40Ar+45Sc vs Pb+Pb (NA49 acceptance)
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
Sc 0-5 in NA49 acc45Ar+40
Pb+Pb 0-72 (NA49)
Results for 40Ar+45Sc collisions are very close to Pb+Pb No prominentstructures which could be related to CP are visible
∆[PT N] lt 1 and Σ[PT N] is consistent with 1 for both systemsT Anticic et al (NA49 Collaboration) PRC 92 no4044905
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1923
∆Σ[PT N] energy dependence40Ar+45Sc vs Pb+Pb (NA49 acceptance)
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
Sc 0-5 in NA49 acc45Ar+40
Pb+Pb 0-72 (NA49)
No prominent structureswhich could be relatedto CP are visible
∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems
T Anticic et al (NA49 Collaboration) PRC 92 no4044905
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2023
∆Σ[PT N] system size dependenceNA49 acceptance
rangWlang1 10 210 310
N]
T[P∆
06
08
1
12
14 -+h+h
NA61SHINE preliminary
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -+h+h
NA61SHINE preliminary
150-158A GeVc
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -+h+h
NA61SHINE preliminary
p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)
p+p in NA49 acc
Be+Be in NA49 acc
Ar+Sc 0-5 in NA49 acc
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -+h+h
NA61SHINE preliminary
p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)
p+p in NA49 acc
Be+Be in NA49 acc
Ar+Sc 0-5 in NA49 acc
No prominent structures which could be related to CP are visible
∆[PT N] is more sensitive to centrality selection than Σ[PT N]
T Anticic et al (NA49 Collaboration) PRC 92 no4044905
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2123
∆Σ[PT N] system size dependenceNA49 acceptance
rangWlang1 10 210 310
N]
T[P∆
06
08
1
12
14 -h
NA61SHINE preliminary
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -h
NA61SHINE preliminary
rangWlang1 10 210 310
N]
T[P∆
06
08
1
12
14 +h
NA61SHINE preliminary
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 +h
NA61SHINE preliminary
150-158A GeVc
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -+h+h
NA61SHINE preliminary
p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)
p+p in NA49 acc
Be+Be in NA49 acc
Ar+Sc 0-5 in NA49 acc
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -+h+h
NA61SHINE preliminary
p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)
p+p in NA49 acc
Be+Be in NA49 acc
Ar+Sc 0-5 in NA49 acc
No prominent structureswhich could be relatedto CP are visible
∆[PT N] for less centralcollisions (C+C Si+Si)deviates stronger fromother measurementsthan Σ[PT N]
T Anticic et al (NA49 Collaboration)
PRC 92 no4044905
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2223
Conclusions - 1
bull Preliminary results on PT vs N fluctuations for forward energyselected 40Ar+45Sc collisions with particles produced in strong andEM processes within the NA61SHINE acceptance atradicsNN = 612 762 876 1194 1683 GeV were reported
bull Uncorrected and corrected measurements of strongly intensivequantities ∆[PT N] and Σ[PT N] were shown
bull The results were compared with 1) the NA61SHINE data onp+p and 7Be+9Be collisions 2) the NA49 data on p+p C+CSi+Si and Pb+Pb collisions 3) the predictions of the EPOS199model
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2323
Conclusions - 2
bull No clear indications of CP in strongly intensive PT vs N fluctuationmeasures were observedbull Analyses more sensitive to CP (intermittency higher momentsidentified particle ratio fluctuations etc) of the NA61SHINE are inprogressbull See dedicated NA61SHINE talks on higher moments by MMackowiak-Pawlowska and on intermittency by N Davis on Friday
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[P∆
06
08
1
12
NA61SHINE preliminary
-+h+h
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[PΣ
09
1
11
12
NA61SHINE preliminary
-+h+h
Waiting for p+Pb Xe+La and Pb+Pb
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2423
evgenyandronovcernch
Thank You
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2523
Back-up
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2623
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2723
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2823
LMPD
Four large volume Time Projection Chambers (TPCs) VTPC-1 VTPC-2 (inside superconducting magnets) MTPC-L MTPC-R measurement of dEdx and p Time of Flight (ToF) detector walls
Projectile Spectator Detector (PSD) for centrality measurement (energy of projectile spectators) and determination of reaction plane resolution of 1 nucleon () in the studied energy range (important for fluctuation analysis)
Helium beam pipes inside VTPC-1 and VTPC-2 (to reduce -electrons)
Z-detector (measures ion charge for on-line selection of secondary ions A-detector (measures mass composition of secondary ion beam)
Low Momentum Particle Detector (LMPD) for centrality determination in p+A measures target nucleus spectators
PSD
Large acceptance asymp 50 High momentum resolution σ(p)p2asymp10-4(GeVc)-1 (at full B=9 T∙m) ToF walls resolution ToF-LR σ(t)asymp60 ps ToF-F σ(t)asymp120 ps Good particle identification σ(dEdx)ltdEdxgtasymp004 σ(minv)asymp5 MeV
High detector efficiency gt 95 Event rate 70 eventssec
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2923
Centrality determinationDue to the differences in magnetic field PSD position and Fermimotion for various energies different set of modules is chosen tocalculate the EF
Centrality selection in Ar+Sc collisionsProjectile Spectator Detector
Due to the differences in magnetic field and PSD position for variousenergies different set of modules is chosen to calculate the EF
13 AGeVc 19 AGeVc 30 AGeVc
40 AGeVc 75 AGeVc 150 AGeVc
The module sets are chosen on the basis of corelations between energyand multiplicity for each module
5 1The module sets are chosen on the basis of corelations betweenenergy and multiplicity for each module
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3023
Statistics40Ar+ 45Sc 0minus 5 0 lt yπ lt ybeam
Event stats 19 30 40 75 150
Total 21M 31M 19M 41M 28M
Selected 01M 02M 01M 05M 01M
Track stats 19 30 40 75 150
Total 22M 54M 35M 156M 55M
Selected 5M 11M 8M 37M 15M
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3123
[PT N] fluctuations
PT =sumN
i=1 pTi
∆[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ]minus 〈PT 〉ω[N])
Σ[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ] + 〈PT 〉ω[N]minus 2cov(PT N))
Here
ω[PT ] =〈P2
T 〉minus〈PT 〉2〈PT 〉 〈〉 - average over all events
ω[N] = 〈N2〉minus〈N〉2〈N〉
ω[pT ] =p2TminuspT 2
pT middot - average over all particles
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3223
∆Σ[PT N] effect of correctionsp+p vs 7Be+9Be
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
p+p uncorrectedp+p corrected
Be 0-5 uncorrected9Be+7 Be 0-5 corrected9Be+7
Corrections are larger for ∆[PT N] in p+p and for Σ[PT N] in 7Be+9Be
SI fluctuation measures do not change their energy dependence after corrections
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3323
∆Σ[PT N] acceptance dependencep+p
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
p+p full NA61 acc
beamp+p 0ltylty
Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]
Energy dependence trend is the same for full and limited acceptance
Systematic uncertainties for limited acceptance are expected to be ofabout uncertainties for full acceptance
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3423
∆Σ[PT N] acceptance dependencep+p
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
p+p full NA61 acc
beamp+p 0ltylty
Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]
∆[PT N] and Σ[PT N]changes due toacceptance are morepronounced for positivelycharged hadrons
It can be indication ofstronger ∆++ resonancedecay contribution forfull acceptance case
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3523
∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc
Centrality classes from 0minus 1 to 0minus 10
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
30A GeVc
30A GeVc EPOS199
Σ[PT N] is less centrality dependent than ∆[PT N] both in data and inthe EPOS199 model
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3623
∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12+h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
30A GeVc
30A GeVc EPOS199
The EPOS199 modeldescribes better∆[PT N] for negativelycharged hadrons andΣ[PT N] for positivelycharged hadrons
Σ[PT N] is lesscentrality dependentthan ∆[PT N] fornegatively and positivelycharged hadrons
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3723
∆Σ[PT N] energy dependence for 2 centrality classes40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
Corrected 0-5
Corrected 0-1
Σ[PT N] is less centrality dependent than ∆[PT N]
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3823
Centrality dependence
centrality
] - N
T[PΣ
] or
-
NT
[P∆]
or
-[N
ω
1
10
0-5 0-10 0-15 0-20
UrQMD 33 20A GeVneg charged
]-[Nω]- N
T[P∆
]- NT
[PΣ
(a)
centrality
] - N
T[PΣ
] or
-
NT
[P∆]
or
-[N
ω
1
10
0-5 0-10 0-15 0-20
UrQMD 33 20A GeVneg charged
lt 2π
0 lt y
]-[Nω]- N
T[P∆
]- NT
[PΣ
(b)
Figure 5 (Color online) The UrQMD results for the centrality dependence of ω[Nminus] (squares)
∆[PT Nminus] (circles) and Σ[PT Nminus] (triangles) in Pb+Pb collisions at Elab = 20A GeV A centrality
selection is done with a restriction on the impact parameter b (a) The full 4π detector acceptance
(b) Only particles with center of mass rapidity in the interval 1 lt yπ lt 2 are accepted (pion mass was
assumed for all particles) Open symbols correspond to the case when 10 of particles was randomly
rejected
and we call it acceptance losses On the other hand even in this accepted kinematic region we
still may have efficiency losses due to track reconstruction problems (including problems with
ionization energy loss dEdx reconstruction)
The UrQMD results for negatively charged particles in Pb+Pb collisions at Elab = 20A GeV
for the full 4π acceptance and for the particles accepted only in the center of mass rapidity
interval 1 lt yπ lt 2 are shown in Fig 5 (a) and (b) respectively (full symbols) From a
comparison of the results for the full and limited detector acceptance one observes rather strong
effects of acceptance losses for the scaled variance ω[Nminus] The strongly intensive measures
∆[PT Nminus] and Σ[PT Nminus] look again more appropriate The effects of the limited acceptance
are rather moderate for ∆[PT Nminus] and almost absent for Σ[PT Nminus] We also would like to stress
that the acceptance dependence shown in Fig 5 is the example only In general the measured
25
MGorenstein KGrebieszkow PRC 89034903
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3923
∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structures which could be related to CP are visible
Systematic uncertainties are under investigation (first estimates - 2 for 3 low
energies and of about 5 for 2 top energies)
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4023
∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structureswhich could be relatedto CP are visible
∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems
Systematic uncertainties
are under investigation
(first estimates - 2 for 3
low energies and of about
5 for 2 top energies)
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4123
Σ[PT N] system size dependence
Linear fit Parabolic fit
10 210
098
1
102
104
106
108
Graph ndf 2χ 4872 4
p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus
ndf 2χ 4872 4p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus
Graph
10 210
098
1
102
104
106
108
Graph ndf 2χ 3119 3
p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus
ndf 2χ 3119 3p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus
Graph
Gaussian fit
10 210
098
1
102
104
106
108
Graph ndf 2χ 3124 3
Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421
ndf 2χ 3124 3Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421
Graph
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4223
Corrections
Corrections for contamination from off-target interactions for40Ar+45Sc were not applied but with applied vertex positionselection they are expected to be less than 1
MMP WUT (NA61SHINE) Quark Matter 2015 Kobe Japan September 20 2015 19 17
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4323
Obtaining 〈W 〉
Glissando MC is based on Glauber model whereas EPOS utilizesparton ladder model
rdquoin our case the inelastic Nucleon-Nucleon cross-section in anucleus is smaller than the corresponding pp cross-section leadingto less binary collisions than in standard Glauberrdquo
Tanguy Pierog core EPOS developer
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4423
Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons
ent
ries
0
100
200
300
400
500
600
700
N0 100 200
[G
eVc
]T
P
0
20
40
60
Mean x 1047Mean y 3454RMS x 1249RMS y 4695
-+h+hNA61SHINE preliminary
]2c2 [GeVT2P0 20 40
]2G
eV2
) [c
T2
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 17RMS 3164
NA61SHINE preliminary
N PT and PT 2 =sumN
i=1 p2Ti are measured for each event
PT 2 is needed to calculate the scaled variance of the inclusive
pT distribution ω[pT ] =p2TminuspT 2
pTusing only event quantities
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4523
Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons
N PT and PT 2 =sumN
i=1 p2Ti are measured for each event
PT 2 is needed to calculate the scaled variance of the inclusive
pT distribution ω[pT ] =p2TminuspT 2
pTusing only event quantities
N0 100 200
P(N
)
5minus10
4minus10
3minus10
2minus10
Mean 1047RMS 1249
NA61SHINE preliminary
[GeVc]TP0 20 40 60
) [c
GeV
]T
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 3453RMS 4701
NA61SHINE preliminary
[GeVc]TNP0 5000 10000 15000
) [c
GeV
]T
P(N
P
7minus10
6minus10
5minus10
4minus10
Mean 3665RMS 8972
NA61SHINE preliminary
]2c2 [GeVT2P0 20 40
]2G
eV2
) [c
T2
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 17RMS 3164
NA61SHINE preliminary
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
323
Motivation of the NA61SHINE strong interaction programme
(MeV)B
micro200 300 400 500 600
T (
MeV
)
100
120
140
160
180
200
CP
NA49
p+p
C+CSi+Si
Pb+Pb
NA61 collected data
NA61 future data
p+p
Be+Be
Ar+ScXe+La
150A GeVc 13A GeVc
Estimated (NA49) and expected (NA61) chemicalfreeze-out points PRC 73 044905
The NA61SHINE experiment performscomprehensive scan with light and
intermediate mass nuclei in energy range13A-158A GeV
Data taking schedule for the stronginteractions program and its proposed
extension(in gray)
MMP WUT (NA61SHINE) Quark Matter 2015 Kobe Japan September 20 2015 4 17
Estimated (NA49) and expected (NA61) chemicalfreeze-out points F Becattini et al PRC 73044905
Comprehensive scan with light andintermediate mass nuclei in energy range
13A-158A GeV
Data taking schedule and its proposedextension (in gray)
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
423
Strongly intensive fluctuation measures
We consider fluctuation quantities with trivial properties in thereference models (eg WNM or IB-GCE)
Two families of strongly intensive quantities
∆[PT N] = 1ω[pT ]〈N〉 (〈N〉ω[PT ]minus 〈PT 〉ω[N])
Σ[PT N] = 1ω[pT ]〈N〉 (〈N〉ω[PT ] + 〈PT 〉ω[N]minus 2cov(PT N))
where PT =sumN
i=1 pTi
N - multiplicity of charged hadrons in an experimental acceptance
bull Independent of 〈V 〉 and ω[V ] in WNM or IB-GCEbull ∆[PT N] = Σ[PT N] = 1 for the independent particle production model
bull ∆[PT N] = Σ[PT N] = 0 in the absence of fluctuations
MGorenstein MGazdzicki PRC 84014904
MGorenstein et al PRC 88 2024907
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
523
Strongly intensive fluctuation measuresSensitivity to critical point
Analysis of SI fluctuation measures isexpected to give more insight into
CP location
SI quantities for nucleon system with van der Waals EOS in GCE formulation in vicinity of CP
Energy of the particles corresponds to PT
V Vovchenko talk at CPOD2016
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
623
Analysis
I Event selection criteriabull good beam qualitybull no off-time beam particlesbull good main vertex fitbull centrality selected by forward energy
I Track selection criteriabull sufficient number of points inside TPCsbull track trajectory points to interaction pointbull not electron or positronbull pT lt 15 GeVcbull 0 lt yπ lt ybeam (due to poor azimuthal angleacceptance and stronger electron contamination atbackward rapidities)bull NA61SHINE acceptance map
40Ar+45Sc 150A GeVc
0
500
1000
1500
2000
2500
π y-4 -2 0 2 4
[G
eVc
]Tp
0
05
1
15
40Ar+45Sc 19A GeVc
0
200
400
600
800
1000
1200
π y-4 -2 0 2 4
[G
eVc
]Tp
0
05
1
15
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
723
Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5
ent
ries
0
100
200
300
400
500
600
700
N0 100 200
[G
eVc
]T
P
0
20
40
60
Mean x 1047Mean y 3454RMS x 1249RMS y 4695
-+h+hNA61SHINE preliminary
ent
ries
0
200
400
600
800
1000
1200
1400
1600
N0 100 200
[G
eVc
]T
P
0
20
40
60
Mean x 4893Mean y 1512RMS x 6932RMS y 2589
-hNA61SHINE preliminary
ent
ries
0
200
400
600
800
1000
1200
1400
N0 100 200
[G
eVc
]T
P
0
20
40
60
Mean x 5574Mean y 1942RMS x 7555RMS y 3161
+hNA61SHINE preliminary
N PT and PT 2 =sumN
i=1 p2Ti are measured for each event
PT 2 is needed to calculate the scaled variance of the inclusive
pT distribution ω[pT ] =p2TminuspT 2
pTusing only event quantities
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
823
Corrections
K Werner et al PRC 74044902
I MC used for corrections EPOS199 model (version CRMC 153)GEANT321 The simulated data were analysed within the NA61SHINEacceptance
I Corrections for losses due to event and track selections trigger biasesdetector inefficiencies secondary interactions and feed-down from weakdecays for 40Ar+45Sc were performed on the level of the first and secondmoments of measured observables
I Correction factors for 〈N〉 〈N2〉 〈PT 〉 〈P2T 〉 〈N middot PT 〉 and 〈PT 2〉 were
calculated as ratios of the corresponding moments for pure toreconstructed MC for positively negatively and all charged hadronsseparately
Note on errorsStatistical uncertainties were calculated using the sub-sample method They aretypically smaller than the marker size
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
923
∆Σ[PT N] effect of corrections40Ar+45Sc 0-5
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
UncorrectedCorrectedReconstructed EPOS199Pure EPOS199
The correction changes uncorrected data by no more than 10Systematic uncertainties are under investigation (first estimates - 2 for 3 low
energies and of about 5 for 2 top energies)
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1023
∆Σ[PT N] effect of corrections40Ar+45Sc 0-5
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
UncorrectedCorrectedReconstructed EPOS199Pure EPOS199
Systematic uncertaintiesare under investigation(first estimates - 2 for3 low energies and ofabout 5 for 2 topenergies)
Magnitude of correctionsis similar for negativelyand positively chargedhadrons
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1123
Preliminary results
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1223
∆Σ[PT N] energy dependence40Ar+45Sc 0-5 vs EPOS199 0-5
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
NA61SHINE 0-5
EPOS199 0-5
The EPOS199 model overestimates ∆[PT N]
Weak and smooth energy dependence of ∆[PT N] and Σ[PT N] noevidence of anomalies related to CP
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1323
∆Σ[PT N] energy dependence40Ar+45Sc 0-5 vs EPOS199 0-5
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
NA61SHINE 0-5
EPOS199 0-5
Weak and smoothenergy dependence of∆[PT N] and Σ[PT N]no evidence of anomaliesrelated to CP
EPOS describes better∆[PT N] for negativelycharged hadrons andΣ[PT N] for positivelycharged hadrons
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1423
∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structures which could be related to CP are visible
Systematic uncertainties are under investigation (first estimates - 2 for 3 low
energies and of about 5 for 2 top energies)
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1523
∆Σ[PT N] energy vs system size scanp+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[P∆
06
08
1
12
NA61SHINE preliminary
-+h+h
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[PΣ
09
1
11
12
NA61SHINE preliminary
-+h+h
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structures which could be related to CP are visible
Mean number of wounded nucleons 〈W 〉 estimated using the GLISSANDOmodel
Statistical uncertainties are less than 1 for all points and not drawn Systematic
uncertainties are under investigation (first estimates - 2 for 3 low energies and
of about 5 for 2 top energies)
W Broniowski M Rybczynski PRC 81 064909
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1623
∆Σ[PT N] energy vs system size scanp+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[P∆
06
08
1
12
NA61SHINE preliminary
-h
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[PΣ
09
1
11
12
NA61SHINE preliminary
-h
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[P∆
06
08
1
12
NA61SHINE preliminary
+h
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[PΣ
09
1
11
12
NA61SHINE preliminary
+h
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structures which could be related to CP are visible
∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems
1) Bose-Einsteinstatistics of pion gas2) negative M (pT )vs N correlationleads to the sameinequalitiesMGorenstein KGrebieszkow PRC
89034903
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1723
Comparison with Pb+Pb results from NA49
To compare results of pT fluctuations NA49 cuts were applied toNA61SHINE dataIn NA49bull because of high density of tracks analysis was limited toforward-rapidity region (11 lt yπ lt 26)bull to exclude elastically scattered or diffractively produced protonsanalysis was limited in proton rapidity (yp lt ybeam minus 05)bull 0005 lt pT lt 15 GeVcbull common azimuthal acceptance for all energies (only for energydependence analysis)
T Anticic et al (NA49 Collaboration) PRC 92 no4044905
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1823
∆Σ[PT N] energy dependence40Ar+45Sc vs Pb+Pb (NA49 acceptance)
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
Sc 0-5 in NA49 acc45Ar+40
Pb+Pb 0-72 (NA49)
Results for 40Ar+45Sc collisions are very close to Pb+Pb No prominentstructures which could be related to CP are visible
∆[PT N] lt 1 and Σ[PT N] is consistent with 1 for both systemsT Anticic et al (NA49 Collaboration) PRC 92 no4044905
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1923
∆Σ[PT N] energy dependence40Ar+45Sc vs Pb+Pb (NA49 acceptance)
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
Sc 0-5 in NA49 acc45Ar+40
Pb+Pb 0-72 (NA49)
No prominent structureswhich could be relatedto CP are visible
∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems
T Anticic et al (NA49 Collaboration) PRC 92 no4044905
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2023
∆Σ[PT N] system size dependenceNA49 acceptance
rangWlang1 10 210 310
N]
T[P∆
06
08
1
12
14 -+h+h
NA61SHINE preliminary
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -+h+h
NA61SHINE preliminary
150-158A GeVc
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -+h+h
NA61SHINE preliminary
p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)
p+p in NA49 acc
Be+Be in NA49 acc
Ar+Sc 0-5 in NA49 acc
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -+h+h
NA61SHINE preliminary
p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)
p+p in NA49 acc
Be+Be in NA49 acc
Ar+Sc 0-5 in NA49 acc
No prominent structures which could be related to CP are visible
∆[PT N] is more sensitive to centrality selection than Σ[PT N]
T Anticic et al (NA49 Collaboration) PRC 92 no4044905
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2123
∆Σ[PT N] system size dependenceNA49 acceptance
rangWlang1 10 210 310
N]
T[P∆
06
08
1
12
14 -h
NA61SHINE preliminary
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -h
NA61SHINE preliminary
rangWlang1 10 210 310
N]
T[P∆
06
08
1
12
14 +h
NA61SHINE preliminary
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 +h
NA61SHINE preliminary
150-158A GeVc
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -+h+h
NA61SHINE preliminary
p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)
p+p in NA49 acc
Be+Be in NA49 acc
Ar+Sc 0-5 in NA49 acc
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -+h+h
NA61SHINE preliminary
p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)
p+p in NA49 acc
Be+Be in NA49 acc
Ar+Sc 0-5 in NA49 acc
No prominent structureswhich could be relatedto CP are visible
∆[PT N] for less centralcollisions (C+C Si+Si)deviates stronger fromother measurementsthan Σ[PT N]
T Anticic et al (NA49 Collaboration)
PRC 92 no4044905
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2223
Conclusions - 1
bull Preliminary results on PT vs N fluctuations for forward energyselected 40Ar+45Sc collisions with particles produced in strong andEM processes within the NA61SHINE acceptance atradicsNN = 612 762 876 1194 1683 GeV were reported
bull Uncorrected and corrected measurements of strongly intensivequantities ∆[PT N] and Σ[PT N] were shown
bull The results were compared with 1) the NA61SHINE data onp+p and 7Be+9Be collisions 2) the NA49 data on p+p C+CSi+Si and Pb+Pb collisions 3) the predictions of the EPOS199model
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2323
Conclusions - 2
bull No clear indications of CP in strongly intensive PT vs N fluctuationmeasures were observedbull Analyses more sensitive to CP (intermittency higher momentsidentified particle ratio fluctuations etc) of the NA61SHINE are inprogressbull See dedicated NA61SHINE talks on higher moments by MMackowiak-Pawlowska and on intermittency by N Davis on Friday
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[P∆
06
08
1
12
NA61SHINE preliminary
-+h+h
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[PΣ
09
1
11
12
NA61SHINE preliminary
-+h+h
Waiting for p+Pb Xe+La and Pb+Pb
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2423
evgenyandronovcernch
Thank You
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2523
Back-up
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2623
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2723
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2823
LMPD
Four large volume Time Projection Chambers (TPCs) VTPC-1 VTPC-2 (inside superconducting magnets) MTPC-L MTPC-R measurement of dEdx and p Time of Flight (ToF) detector walls
Projectile Spectator Detector (PSD) for centrality measurement (energy of projectile spectators) and determination of reaction plane resolution of 1 nucleon () in the studied energy range (important for fluctuation analysis)
Helium beam pipes inside VTPC-1 and VTPC-2 (to reduce -electrons)
Z-detector (measures ion charge for on-line selection of secondary ions A-detector (measures mass composition of secondary ion beam)
Low Momentum Particle Detector (LMPD) for centrality determination in p+A measures target nucleus spectators
PSD
Large acceptance asymp 50 High momentum resolution σ(p)p2asymp10-4(GeVc)-1 (at full B=9 T∙m) ToF walls resolution ToF-LR σ(t)asymp60 ps ToF-F σ(t)asymp120 ps Good particle identification σ(dEdx)ltdEdxgtasymp004 σ(minv)asymp5 MeV
High detector efficiency gt 95 Event rate 70 eventssec
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2923
Centrality determinationDue to the differences in magnetic field PSD position and Fermimotion for various energies different set of modules is chosen tocalculate the EF
Centrality selection in Ar+Sc collisionsProjectile Spectator Detector
Due to the differences in magnetic field and PSD position for variousenergies different set of modules is chosen to calculate the EF
13 AGeVc 19 AGeVc 30 AGeVc
40 AGeVc 75 AGeVc 150 AGeVc
The module sets are chosen on the basis of corelations between energyand multiplicity for each module
5 1The module sets are chosen on the basis of corelations betweenenergy and multiplicity for each module
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3023
Statistics40Ar+ 45Sc 0minus 5 0 lt yπ lt ybeam
Event stats 19 30 40 75 150
Total 21M 31M 19M 41M 28M
Selected 01M 02M 01M 05M 01M
Track stats 19 30 40 75 150
Total 22M 54M 35M 156M 55M
Selected 5M 11M 8M 37M 15M
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3123
[PT N] fluctuations
PT =sumN
i=1 pTi
∆[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ]minus 〈PT 〉ω[N])
Σ[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ] + 〈PT 〉ω[N]minus 2cov(PT N))
Here
ω[PT ] =〈P2
T 〉minus〈PT 〉2〈PT 〉 〈〉 - average over all events
ω[N] = 〈N2〉minus〈N〉2〈N〉
ω[pT ] =p2TminuspT 2
pT middot - average over all particles
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3223
∆Σ[PT N] effect of correctionsp+p vs 7Be+9Be
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
p+p uncorrectedp+p corrected
Be 0-5 uncorrected9Be+7 Be 0-5 corrected9Be+7
Corrections are larger for ∆[PT N] in p+p and for Σ[PT N] in 7Be+9Be
SI fluctuation measures do not change their energy dependence after corrections
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3323
∆Σ[PT N] acceptance dependencep+p
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
p+p full NA61 acc
beamp+p 0ltylty
Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]
Energy dependence trend is the same for full and limited acceptance
Systematic uncertainties for limited acceptance are expected to be ofabout uncertainties for full acceptance
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3423
∆Σ[PT N] acceptance dependencep+p
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
p+p full NA61 acc
beamp+p 0ltylty
Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]
∆[PT N] and Σ[PT N]changes due toacceptance are morepronounced for positivelycharged hadrons
It can be indication ofstronger ∆++ resonancedecay contribution forfull acceptance case
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3523
∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc
Centrality classes from 0minus 1 to 0minus 10
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
30A GeVc
30A GeVc EPOS199
Σ[PT N] is less centrality dependent than ∆[PT N] both in data and inthe EPOS199 model
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3623
∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12+h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
30A GeVc
30A GeVc EPOS199
The EPOS199 modeldescribes better∆[PT N] for negativelycharged hadrons andΣ[PT N] for positivelycharged hadrons
Σ[PT N] is lesscentrality dependentthan ∆[PT N] fornegatively and positivelycharged hadrons
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3723
∆Σ[PT N] energy dependence for 2 centrality classes40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
Corrected 0-5
Corrected 0-1
Σ[PT N] is less centrality dependent than ∆[PT N]
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3823
Centrality dependence
centrality
] - N
T[PΣ
] or
-
NT
[P∆]
or
-[N
ω
1
10
0-5 0-10 0-15 0-20
UrQMD 33 20A GeVneg charged
]-[Nω]- N
T[P∆
]- NT
[PΣ
(a)
centrality
] - N
T[PΣ
] or
-
NT
[P∆]
or
-[N
ω
1
10
0-5 0-10 0-15 0-20
UrQMD 33 20A GeVneg charged
lt 2π
0 lt y
]-[Nω]- N
T[P∆
]- NT
[PΣ
(b)
Figure 5 (Color online) The UrQMD results for the centrality dependence of ω[Nminus] (squares)
∆[PT Nminus] (circles) and Σ[PT Nminus] (triangles) in Pb+Pb collisions at Elab = 20A GeV A centrality
selection is done with a restriction on the impact parameter b (a) The full 4π detector acceptance
(b) Only particles with center of mass rapidity in the interval 1 lt yπ lt 2 are accepted (pion mass was
assumed for all particles) Open symbols correspond to the case when 10 of particles was randomly
rejected
and we call it acceptance losses On the other hand even in this accepted kinematic region we
still may have efficiency losses due to track reconstruction problems (including problems with
ionization energy loss dEdx reconstruction)
The UrQMD results for negatively charged particles in Pb+Pb collisions at Elab = 20A GeV
for the full 4π acceptance and for the particles accepted only in the center of mass rapidity
interval 1 lt yπ lt 2 are shown in Fig 5 (a) and (b) respectively (full symbols) From a
comparison of the results for the full and limited detector acceptance one observes rather strong
effects of acceptance losses for the scaled variance ω[Nminus] The strongly intensive measures
∆[PT Nminus] and Σ[PT Nminus] look again more appropriate The effects of the limited acceptance
are rather moderate for ∆[PT Nminus] and almost absent for Σ[PT Nminus] We also would like to stress
that the acceptance dependence shown in Fig 5 is the example only In general the measured
25
MGorenstein KGrebieszkow PRC 89034903
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3923
∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structures which could be related to CP are visible
Systematic uncertainties are under investigation (first estimates - 2 for 3 low
energies and of about 5 for 2 top energies)
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4023
∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structureswhich could be relatedto CP are visible
∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems
Systematic uncertainties
are under investigation
(first estimates - 2 for 3
low energies and of about
5 for 2 top energies)
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4123
Σ[PT N] system size dependence
Linear fit Parabolic fit
10 210
098
1
102
104
106
108
Graph ndf 2χ 4872 4
p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus
ndf 2χ 4872 4p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus
Graph
10 210
098
1
102
104
106
108
Graph ndf 2χ 3119 3
p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus
ndf 2χ 3119 3p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus
Graph
Gaussian fit
10 210
098
1
102
104
106
108
Graph ndf 2χ 3124 3
Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421
ndf 2χ 3124 3Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421
Graph
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4223
Corrections
Corrections for contamination from off-target interactions for40Ar+45Sc were not applied but with applied vertex positionselection they are expected to be less than 1
MMP WUT (NA61SHINE) Quark Matter 2015 Kobe Japan September 20 2015 19 17
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4323
Obtaining 〈W 〉
Glissando MC is based on Glauber model whereas EPOS utilizesparton ladder model
rdquoin our case the inelastic Nucleon-Nucleon cross-section in anucleus is smaller than the corresponding pp cross-section leadingto less binary collisions than in standard Glauberrdquo
Tanguy Pierog core EPOS developer
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4423
Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons
ent
ries
0
100
200
300
400
500
600
700
N0 100 200
[G
eVc
]T
P
0
20
40
60
Mean x 1047Mean y 3454RMS x 1249RMS y 4695
-+h+hNA61SHINE preliminary
]2c2 [GeVT2P0 20 40
]2G
eV2
) [c
T2
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 17RMS 3164
NA61SHINE preliminary
N PT and PT 2 =sumN
i=1 p2Ti are measured for each event
PT 2 is needed to calculate the scaled variance of the inclusive
pT distribution ω[pT ] =p2TminuspT 2
pTusing only event quantities
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4523
Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons
N PT and PT 2 =sumN
i=1 p2Ti are measured for each event
PT 2 is needed to calculate the scaled variance of the inclusive
pT distribution ω[pT ] =p2TminuspT 2
pTusing only event quantities
N0 100 200
P(N
)
5minus10
4minus10
3minus10
2minus10
Mean 1047RMS 1249
NA61SHINE preliminary
[GeVc]TP0 20 40 60
) [c
GeV
]T
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 3453RMS 4701
NA61SHINE preliminary
[GeVc]TNP0 5000 10000 15000
) [c
GeV
]T
P(N
P
7minus10
6minus10
5minus10
4minus10
Mean 3665RMS 8972
NA61SHINE preliminary
]2c2 [GeVT2P0 20 40
]2G
eV2
) [c
T2
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 17RMS 3164
NA61SHINE preliminary
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
423
Strongly intensive fluctuation measures
We consider fluctuation quantities with trivial properties in thereference models (eg WNM or IB-GCE)
Two families of strongly intensive quantities
∆[PT N] = 1ω[pT ]〈N〉 (〈N〉ω[PT ]minus 〈PT 〉ω[N])
Σ[PT N] = 1ω[pT ]〈N〉 (〈N〉ω[PT ] + 〈PT 〉ω[N]minus 2cov(PT N))
where PT =sumN
i=1 pTi
N - multiplicity of charged hadrons in an experimental acceptance
bull Independent of 〈V 〉 and ω[V ] in WNM or IB-GCEbull ∆[PT N] = Σ[PT N] = 1 for the independent particle production model
bull ∆[PT N] = Σ[PT N] = 0 in the absence of fluctuations
MGorenstein MGazdzicki PRC 84014904
MGorenstein et al PRC 88 2024907
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
523
Strongly intensive fluctuation measuresSensitivity to critical point
Analysis of SI fluctuation measures isexpected to give more insight into
CP location
SI quantities for nucleon system with van der Waals EOS in GCE formulation in vicinity of CP
Energy of the particles corresponds to PT
V Vovchenko talk at CPOD2016
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
623
Analysis
I Event selection criteriabull good beam qualitybull no off-time beam particlesbull good main vertex fitbull centrality selected by forward energy
I Track selection criteriabull sufficient number of points inside TPCsbull track trajectory points to interaction pointbull not electron or positronbull pT lt 15 GeVcbull 0 lt yπ lt ybeam (due to poor azimuthal angleacceptance and stronger electron contamination atbackward rapidities)bull NA61SHINE acceptance map
40Ar+45Sc 150A GeVc
0
500
1000
1500
2000
2500
π y-4 -2 0 2 4
[G
eVc
]Tp
0
05
1
15
40Ar+45Sc 19A GeVc
0
200
400
600
800
1000
1200
π y-4 -2 0 2 4
[G
eVc
]Tp
0
05
1
15
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
723
Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5
ent
ries
0
100
200
300
400
500
600
700
N0 100 200
[G
eVc
]T
P
0
20
40
60
Mean x 1047Mean y 3454RMS x 1249RMS y 4695
-+h+hNA61SHINE preliminary
ent
ries
0
200
400
600
800
1000
1200
1400
1600
N0 100 200
[G
eVc
]T
P
0
20
40
60
Mean x 4893Mean y 1512RMS x 6932RMS y 2589
-hNA61SHINE preliminary
ent
ries
0
200
400
600
800
1000
1200
1400
N0 100 200
[G
eVc
]T
P
0
20
40
60
Mean x 5574Mean y 1942RMS x 7555RMS y 3161
+hNA61SHINE preliminary
N PT and PT 2 =sumN
i=1 p2Ti are measured for each event
PT 2 is needed to calculate the scaled variance of the inclusive
pT distribution ω[pT ] =p2TminuspT 2
pTusing only event quantities
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
823
Corrections
K Werner et al PRC 74044902
I MC used for corrections EPOS199 model (version CRMC 153)GEANT321 The simulated data were analysed within the NA61SHINEacceptance
I Corrections for losses due to event and track selections trigger biasesdetector inefficiencies secondary interactions and feed-down from weakdecays for 40Ar+45Sc were performed on the level of the first and secondmoments of measured observables
I Correction factors for 〈N〉 〈N2〉 〈PT 〉 〈P2T 〉 〈N middot PT 〉 and 〈PT 2〉 were
calculated as ratios of the corresponding moments for pure toreconstructed MC for positively negatively and all charged hadronsseparately
Note on errorsStatistical uncertainties were calculated using the sub-sample method They aretypically smaller than the marker size
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
923
∆Σ[PT N] effect of corrections40Ar+45Sc 0-5
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
UncorrectedCorrectedReconstructed EPOS199Pure EPOS199
The correction changes uncorrected data by no more than 10Systematic uncertainties are under investigation (first estimates - 2 for 3 low
energies and of about 5 for 2 top energies)
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1023
∆Σ[PT N] effect of corrections40Ar+45Sc 0-5
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
UncorrectedCorrectedReconstructed EPOS199Pure EPOS199
Systematic uncertaintiesare under investigation(first estimates - 2 for3 low energies and ofabout 5 for 2 topenergies)
Magnitude of correctionsis similar for negativelyand positively chargedhadrons
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1123
Preliminary results
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1223
∆Σ[PT N] energy dependence40Ar+45Sc 0-5 vs EPOS199 0-5
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
NA61SHINE 0-5
EPOS199 0-5
The EPOS199 model overestimates ∆[PT N]
Weak and smooth energy dependence of ∆[PT N] and Σ[PT N] noevidence of anomalies related to CP
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1323
∆Σ[PT N] energy dependence40Ar+45Sc 0-5 vs EPOS199 0-5
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
NA61SHINE 0-5
EPOS199 0-5
Weak and smoothenergy dependence of∆[PT N] and Σ[PT N]no evidence of anomaliesrelated to CP
EPOS describes better∆[PT N] for negativelycharged hadrons andΣ[PT N] for positivelycharged hadrons
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1423
∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structures which could be related to CP are visible
Systematic uncertainties are under investigation (first estimates - 2 for 3 low
energies and of about 5 for 2 top energies)
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1523
∆Σ[PT N] energy vs system size scanp+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[P∆
06
08
1
12
NA61SHINE preliminary
-+h+h
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[PΣ
09
1
11
12
NA61SHINE preliminary
-+h+h
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structures which could be related to CP are visible
Mean number of wounded nucleons 〈W 〉 estimated using the GLISSANDOmodel
Statistical uncertainties are less than 1 for all points and not drawn Systematic
uncertainties are under investigation (first estimates - 2 for 3 low energies and
of about 5 for 2 top energies)
W Broniowski M Rybczynski PRC 81 064909
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1623
∆Σ[PT N] energy vs system size scanp+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[P∆
06
08
1
12
NA61SHINE preliminary
-h
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[PΣ
09
1
11
12
NA61SHINE preliminary
-h
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[P∆
06
08
1
12
NA61SHINE preliminary
+h
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[PΣ
09
1
11
12
NA61SHINE preliminary
+h
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structures which could be related to CP are visible
∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems
1) Bose-Einsteinstatistics of pion gas2) negative M (pT )vs N correlationleads to the sameinequalitiesMGorenstein KGrebieszkow PRC
89034903
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1723
Comparison with Pb+Pb results from NA49
To compare results of pT fluctuations NA49 cuts were applied toNA61SHINE dataIn NA49bull because of high density of tracks analysis was limited toforward-rapidity region (11 lt yπ lt 26)bull to exclude elastically scattered or diffractively produced protonsanalysis was limited in proton rapidity (yp lt ybeam minus 05)bull 0005 lt pT lt 15 GeVcbull common azimuthal acceptance for all energies (only for energydependence analysis)
T Anticic et al (NA49 Collaboration) PRC 92 no4044905
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1823
∆Σ[PT N] energy dependence40Ar+45Sc vs Pb+Pb (NA49 acceptance)
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
Sc 0-5 in NA49 acc45Ar+40
Pb+Pb 0-72 (NA49)
Results for 40Ar+45Sc collisions are very close to Pb+Pb No prominentstructures which could be related to CP are visible
∆[PT N] lt 1 and Σ[PT N] is consistent with 1 for both systemsT Anticic et al (NA49 Collaboration) PRC 92 no4044905
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1923
∆Σ[PT N] energy dependence40Ar+45Sc vs Pb+Pb (NA49 acceptance)
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
Sc 0-5 in NA49 acc45Ar+40
Pb+Pb 0-72 (NA49)
No prominent structureswhich could be relatedto CP are visible
∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems
T Anticic et al (NA49 Collaboration) PRC 92 no4044905
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2023
∆Σ[PT N] system size dependenceNA49 acceptance
rangWlang1 10 210 310
N]
T[P∆
06
08
1
12
14 -+h+h
NA61SHINE preliminary
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -+h+h
NA61SHINE preliminary
150-158A GeVc
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -+h+h
NA61SHINE preliminary
p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)
p+p in NA49 acc
Be+Be in NA49 acc
Ar+Sc 0-5 in NA49 acc
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -+h+h
NA61SHINE preliminary
p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)
p+p in NA49 acc
Be+Be in NA49 acc
Ar+Sc 0-5 in NA49 acc
No prominent structures which could be related to CP are visible
∆[PT N] is more sensitive to centrality selection than Σ[PT N]
T Anticic et al (NA49 Collaboration) PRC 92 no4044905
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2123
∆Σ[PT N] system size dependenceNA49 acceptance
rangWlang1 10 210 310
N]
T[P∆
06
08
1
12
14 -h
NA61SHINE preliminary
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -h
NA61SHINE preliminary
rangWlang1 10 210 310
N]
T[P∆
06
08
1
12
14 +h
NA61SHINE preliminary
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 +h
NA61SHINE preliminary
150-158A GeVc
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -+h+h
NA61SHINE preliminary
p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)
p+p in NA49 acc
Be+Be in NA49 acc
Ar+Sc 0-5 in NA49 acc
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -+h+h
NA61SHINE preliminary
p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)
p+p in NA49 acc
Be+Be in NA49 acc
Ar+Sc 0-5 in NA49 acc
No prominent structureswhich could be relatedto CP are visible
∆[PT N] for less centralcollisions (C+C Si+Si)deviates stronger fromother measurementsthan Σ[PT N]
T Anticic et al (NA49 Collaboration)
PRC 92 no4044905
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2223
Conclusions - 1
bull Preliminary results on PT vs N fluctuations for forward energyselected 40Ar+45Sc collisions with particles produced in strong andEM processes within the NA61SHINE acceptance atradicsNN = 612 762 876 1194 1683 GeV were reported
bull Uncorrected and corrected measurements of strongly intensivequantities ∆[PT N] and Σ[PT N] were shown
bull The results were compared with 1) the NA61SHINE data onp+p and 7Be+9Be collisions 2) the NA49 data on p+p C+CSi+Si and Pb+Pb collisions 3) the predictions of the EPOS199model
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2323
Conclusions - 2
bull No clear indications of CP in strongly intensive PT vs N fluctuationmeasures were observedbull Analyses more sensitive to CP (intermittency higher momentsidentified particle ratio fluctuations etc) of the NA61SHINE are inprogressbull See dedicated NA61SHINE talks on higher moments by MMackowiak-Pawlowska and on intermittency by N Davis on Friday
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[P∆
06
08
1
12
NA61SHINE preliminary
-+h+h
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[PΣ
09
1
11
12
NA61SHINE preliminary
-+h+h
Waiting for p+Pb Xe+La and Pb+Pb
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2423
evgenyandronovcernch
Thank You
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2523
Back-up
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2623
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2723
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2823
LMPD
Four large volume Time Projection Chambers (TPCs) VTPC-1 VTPC-2 (inside superconducting magnets) MTPC-L MTPC-R measurement of dEdx and p Time of Flight (ToF) detector walls
Projectile Spectator Detector (PSD) for centrality measurement (energy of projectile spectators) and determination of reaction plane resolution of 1 nucleon () in the studied energy range (important for fluctuation analysis)
Helium beam pipes inside VTPC-1 and VTPC-2 (to reduce -electrons)
Z-detector (measures ion charge for on-line selection of secondary ions A-detector (measures mass composition of secondary ion beam)
Low Momentum Particle Detector (LMPD) for centrality determination in p+A measures target nucleus spectators
PSD
Large acceptance asymp 50 High momentum resolution σ(p)p2asymp10-4(GeVc)-1 (at full B=9 T∙m) ToF walls resolution ToF-LR σ(t)asymp60 ps ToF-F σ(t)asymp120 ps Good particle identification σ(dEdx)ltdEdxgtasymp004 σ(minv)asymp5 MeV
High detector efficiency gt 95 Event rate 70 eventssec
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2923
Centrality determinationDue to the differences in magnetic field PSD position and Fermimotion for various energies different set of modules is chosen tocalculate the EF
Centrality selection in Ar+Sc collisionsProjectile Spectator Detector
Due to the differences in magnetic field and PSD position for variousenergies different set of modules is chosen to calculate the EF
13 AGeVc 19 AGeVc 30 AGeVc
40 AGeVc 75 AGeVc 150 AGeVc
The module sets are chosen on the basis of corelations between energyand multiplicity for each module
5 1The module sets are chosen on the basis of corelations betweenenergy and multiplicity for each module
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3023
Statistics40Ar+ 45Sc 0minus 5 0 lt yπ lt ybeam
Event stats 19 30 40 75 150
Total 21M 31M 19M 41M 28M
Selected 01M 02M 01M 05M 01M
Track stats 19 30 40 75 150
Total 22M 54M 35M 156M 55M
Selected 5M 11M 8M 37M 15M
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3123
[PT N] fluctuations
PT =sumN
i=1 pTi
∆[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ]minus 〈PT 〉ω[N])
Σ[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ] + 〈PT 〉ω[N]minus 2cov(PT N))
Here
ω[PT ] =〈P2
T 〉minus〈PT 〉2〈PT 〉 〈〉 - average over all events
ω[N] = 〈N2〉minus〈N〉2〈N〉
ω[pT ] =p2TminuspT 2
pT middot - average over all particles
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3223
∆Σ[PT N] effect of correctionsp+p vs 7Be+9Be
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
p+p uncorrectedp+p corrected
Be 0-5 uncorrected9Be+7 Be 0-5 corrected9Be+7
Corrections are larger for ∆[PT N] in p+p and for Σ[PT N] in 7Be+9Be
SI fluctuation measures do not change their energy dependence after corrections
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3323
∆Σ[PT N] acceptance dependencep+p
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
p+p full NA61 acc
beamp+p 0ltylty
Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]
Energy dependence trend is the same for full and limited acceptance
Systematic uncertainties for limited acceptance are expected to be ofabout uncertainties for full acceptance
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3423
∆Σ[PT N] acceptance dependencep+p
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
p+p full NA61 acc
beamp+p 0ltylty
Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]
∆[PT N] and Σ[PT N]changes due toacceptance are morepronounced for positivelycharged hadrons
It can be indication ofstronger ∆++ resonancedecay contribution forfull acceptance case
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3523
∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc
Centrality classes from 0minus 1 to 0minus 10
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
30A GeVc
30A GeVc EPOS199
Σ[PT N] is less centrality dependent than ∆[PT N] both in data and inthe EPOS199 model
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3623
∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12+h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
30A GeVc
30A GeVc EPOS199
The EPOS199 modeldescribes better∆[PT N] for negativelycharged hadrons andΣ[PT N] for positivelycharged hadrons
Σ[PT N] is lesscentrality dependentthan ∆[PT N] fornegatively and positivelycharged hadrons
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3723
∆Σ[PT N] energy dependence for 2 centrality classes40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
Corrected 0-5
Corrected 0-1
Σ[PT N] is less centrality dependent than ∆[PT N]
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3823
Centrality dependence
centrality
] - N
T[PΣ
] or
-
NT
[P∆]
or
-[N
ω
1
10
0-5 0-10 0-15 0-20
UrQMD 33 20A GeVneg charged
]-[Nω]- N
T[P∆
]- NT
[PΣ
(a)
centrality
] - N
T[PΣ
] or
-
NT
[P∆]
or
-[N
ω
1
10
0-5 0-10 0-15 0-20
UrQMD 33 20A GeVneg charged
lt 2π
0 lt y
]-[Nω]- N
T[P∆
]- NT
[PΣ
(b)
Figure 5 (Color online) The UrQMD results for the centrality dependence of ω[Nminus] (squares)
∆[PT Nminus] (circles) and Σ[PT Nminus] (triangles) in Pb+Pb collisions at Elab = 20A GeV A centrality
selection is done with a restriction on the impact parameter b (a) The full 4π detector acceptance
(b) Only particles with center of mass rapidity in the interval 1 lt yπ lt 2 are accepted (pion mass was
assumed for all particles) Open symbols correspond to the case when 10 of particles was randomly
rejected
and we call it acceptance losses On the other hand even in this accepted kinematic region we
still may have efficiency losses due to track reconstruction problems (including problems with
ionization energy loss dEdx reconstruction)
The UrQMD results for negatively charged particles in Pb+Pb collisions at Elab = 20A GeV
for the full 4π acceptance and for the particles accepted only in the center of mass rapidity
interval 1 lt yπ lt 2 are shown in Fig 5 (a) and (b) respectively (full symbols) From a
comparison of the results for the full and limited detector acceptance one observes rather strong
effects of acceptance losses for the scaled variance ω[Nminus] The strongly intensive measures
∆[PT Nminus] and Σ[PT Nminus] look again more appropriate The effects of the limited acceptance
are rather moderate for ∆[PT Nminus] and almost absent for Σ[PT Nminus] We also would like to stress
that the acceptance dependence shown in Fig 5 is the example only In general the measured
25
MGorenstein KGrebieszkow PRC 89034903
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3923
∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structures which could be related to CP are visible
Systematic uncertainties are under investigation (first estimates - 2 for 3 low
energies and of about 5 for 2 top energies)
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4023
∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structureswhich could be relatedto CP are visible
∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems
Systematic uncertainties
are under investigation
(first estimates - 2 for 3
low energies and of about
5 for 2 top energies)
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4123
Σ[PT N] system size dependence
Linear fit Parabolic fit
10 210
098
1
102
104
106
108
Graph ndf 2χ 4872 4
p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus
ndf 2χ 4872 4p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus
Graph
10 210
098
1
102
104
106
108
Graph ndf 2χ 3119 3
p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus
ndf 2χ 3119 3p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus
Graph
Gaussian fit
10 210
098
1
102
104
106
108
Graph ndf 2χ 3124 3
Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421
ndf 2χ 3124 3Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421
Graph
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4223
Corrections
Corrections for contamination from off-target interactions for40Ar+45Sc were not applied but with applied vertex positionselection they are expected to be less than 1
MMP WUT (NA61SHINE) Quark Matter 2015 Kobe Japan September 20 2015 19 17
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4323
Obtaining 〈W 〉
Glissando MC is based on Glauber model whereas EPOS utilizesparton ladder model
rdquoin our case the inelastic Nucleon-Nucleon cross-section in anucleus is smaller than the corresponding pp cross-section leadingto less binary collisions than in standard Glauberrdquo
Tanguy Pierog core EPOS developer
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4423
Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons
ent
ries
0
100
200
300
400
500
600
700
N0 100 200
[G
eVc
]T
P
0
20
40
60
Mean x 1047Mean y 3454RMS x 1249RMS y 4695
-+h+hNA61SHINE preliminary
]2c2 [GeVT2P0 20 40
]2G
eV2
) [c
T2
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 17RMS 3164
NA61SHINE preliminary
N PT and PT 2 =sumN
i=1 p2Ti are measured for each event
PT 2 is needed to calculate the scaled variance of the inclusive
pT distribution ω[pT ] =p2TminuspT 2
pTusing only event quantities
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4523
Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons
N PT and PT 2 =sumN
i=1 p2Ti are measured for each event
PT 2 is needed to calculate the scaled variance of the inclusive
pT distribution ω[pT ] =p2TminuspT 2
pTusing only event quantities
N0 100 200
P(N
)
5minus10
4minus10
3minus10
2minus10
Mean 1047RMS 1249
NA61SHINE preliminary
[GeVc]TP0 20 40 60
) [c
GeV
]T
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 3453RMS 4701
NA61SHINE preliminary
[GeVc]TNP0 5000 10000 15000
) [c
GeV
]T
P(N
P
7minus10
6minus10
5minus10
4minus10
Mean 3665RMS 8972
NA61SHINE preliminary
]2c2 [GeVT2P0 20 40
]2G
eV2
) [c
T2
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 17RMS 3164
NA61SHINE preliminary
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
523
Strongly intensive fluctuation measuresSensitivity to critical point
Analysis of SI fluctuation measures isexpected to give more insight into
CP location
SI quantities for nucleon system with van der Waals EOS in GCE formulation in vicinity of CP
Energy of the particles corresponds to PT
V Vovchenko talk at CPOD2016
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
623
Analysis
I Event selection criteriabull good beam qualitybull no off-time beam particlesbull good main vertex fitbull centrality selected by forward energy
I Track selection criteriabull sufficient number of points inside TPCsbull track trajectory points to interaction pointbull not electron or positronbull pT lt 15 GeVcbull 0 lt yπ lt ybeam (due to poor azimuthal angleacceptance and stronger electron contamination atbackward rapidities)bull NA61SHINE acceptance map
40Ar+45Sc 150A GeVc
0
500
1000
1500
2000
2500
π y-4 -2 0 2 4
[G
eVc
]Tp
0
05
1
15
40Ar+45Sc 19A GeVc
0
200
400
600
800
1000
1200
π y-4 -2 0 2 4
[G
eVc
]Tp
0
05
1
15
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
723
Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5
ent
ries
0
100
200
300
400
500
600
700
N0 100 200
[G
eVc
]T
P
0
20
40
60
Mean x 1047Mean y 3454RMS x 1249RMS y 4695
-+h+hNA61SHINE preliminary
ent
ries
0
200
400
600
800
1000
1200
1400
1600
N0 100 200
[G
eVc
]T
P
0
20
40
60
Mean x 4893Mean y 1512RMS x 6932RMS y 2589
-hNA61SHINE preliminary
ent
ries
0
200
400
600
800
1000
1200
1400
N0 100 200
[G
eVc
]T
P
0
20
40
60
Mean x 5574Mean y 1942RMS x 7555RMS y 3161
+hNA61SHINE preliminary
N PT and PT 2 =sumN
i=1 p2Ti are measured for each event
PT 2 is needed to calculate the scaled variance of the inclusive
pT distribution ω[pT ] =p2TminuspT 2
pTusing only event quantities
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
823
Corrections
K Werner et al PRC 74044902
I MC used for corrections EPOS199 model (version CRMC 153)GEANT321 The simulated data were analysed within the NA61SHINEacceptance
I Corrections for losses due to event and track selections trigger biasesdetector inefficiencies secondary interactions and feed-down from weakdecays for 40Ar+45Sc were performed on the level of the first and secondmoments of measured observables
I Correction factors for 〈N〉 〈N2〉 〈PT 〉 〈P2T 〉 〈N middot PT 〉 and 〈PT 2〉 were
calculated as ratios of the corresponding moments for pure toreconstructed MC for positively negatively and all charged hadronsseparately
Note on errorsStatistical uncertainties were calculated using the sub-sample method They aretypically smaller than the marker size
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
923
∆Σ[PT N] effect of corrections40Ar+45Sc 0-5
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
UncorrectedCorrectedReconstructed EPOS199Pure EPOS199
The correction changes uncorrected data by no more than 10Systematic uncertainties are under investigation (first estimates - 2 for 3 low
energies and of about 5 for 2 top energies)
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1023
∆Σ[PT N] effect of corrections40Ar+45Sc 0-5
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
UncorrectedCorrectedReconstructed EPOS199Pure EPOS199
Systematic uncertaintiesare under investigation(first estimates - 2 for3 low energies and ofabout 5 for 2 topenergies)
Magnitude of correctionsis similar for negativelyand positively chargedhadrons
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1123
Preliminary results
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1223
∆Σ[PT N] energy dependence40Ar+45Sc 0-5 vs EPOS199 0-5
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
NA61SHINE 0-5
EPOS199 0-5
The EPOS199 model overestimates ∆[PT N]
Weak and smooth energy dependence of ∆[PT N] and Σ[PT N] noevidence of anomalies related to CP
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1323
∆Σ[PT N] energy dependence40Ar+45Sc 0-5 vs EPOS199 0-5
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
NA61SHINE 0-5
EPOS199 0-5
Weak and smoothenergy dependence of∆[PT N] and Σ[PT N]no evidence of anomaliesrelated to CP
EPOS describes better∆[PT N] for negativelycharged hadrons andΣ[PT N] for positivelycharged hadrons
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1423
∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structures which could be related to CP are visible
Systematic uncertainties are under investigation (first estimates - 2 for 3 low
energies and of about 5 for 2 top energies)
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1523
∆Σ[PT N] energy vs system size scanp+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[P∆
06
08
1
12
NA61SHINE preliminary
-+h+h
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[PΣ
09
1
11
12
NA61SHINE preliminary
-+h+h
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structures which could be related to CP are visible
Mean number of wounded nucleons 〈W 〉 estimated using the GLISSANDOmodel
Statistical uncertainties are less than 1 for all points and not drawn Systematic
uncertainties are under investigation (first estimates - 2 for 3 low energies and
of about 5 for 2 top energies)
W Broniowski M Rybczynski PRC 81 064909
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1623
∆Σ[PT N] energy vs system size scanp+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[P∆
06
08
1
12
NA61SHINE preliminary
-h
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[PΣ
09
1
11
12
NA61SHINE preliminary
-h
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[P∆
06
08
1
12
NA61SHINE preliminary
+h
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[PΣ
09
1
11
12
NA61SHINE preliminary
+h
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structures which could be related to CP are visible
∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems
1) Bose-Einsteinstatistics of pion gas2) negative M (pT )vs N correlationleads to the sameinequalitiesMGorenstein KGrebieszkow PRC
89034903
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1723
Comparison with Pb+Pb results from NA49
To compare results of pT fluctuations NA49 cuts were applied toNA61SHINE dataIn NA49bull because of high density of tracks analysis was limited toforward-rapidity region (11 lt yπ lt 26)bull to exclude elastically scattered or diffractively produced protonsanalysis was limited in proton rapidity (yp lt ybeam minus 05)bull 0005 lt pT lt 15 GeVcbull common azimuthal acceptance for all energies (only for energydependence analysis)
T Anticic et al (NA49 Collaboration) PRC 92 no4044905
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1823
∆Σ[PT N] energy dependence40Ar+45Sc vs Pb+Pb (NA49 acceptance)
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
Sc 0-5 in NA49 acc45Ar+40
Pb+Pb 0-72 (NA49)
Results for 40Ar+45Sc collisions are very close to Pb+Pb No prominentstructures which could be related to CP are visible
∆[PT N] lt 1 and Σ[PT N] is consistent with 1 for both systemsT Anticic et al (NA49 Collaboration) PRC 92 no4044905
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1923
∆Σ[PT N] energy dependence40Ar+45Sc vs Pb+Pb (NA49 acceptance)
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
Sc 0-5 in NA49 acc45Ar+40
Pb+Pb 0-72 (NA49)
No prominent structureswhich could be relatedto CP are visible
∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems
T Anticic et al (NA49 Collaboration) PRC 92 no4044905
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2023
∆Σ[PT N] system size dependenceNA49 acceptance
rangWlang1 10 210 310
N]
T[P∆
06
08
1
12
14 -+h+h
NA61SHINE preliminary
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -+h+h
NA61SHINE preliminary
150-158A GeVc
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -+h+h
NA61SHINE preliminary
p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)
p+p in NA49 acc
Be+Be in NA49 acc
Ar+Sc 0-5 in NA49 acc
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -+h+h
NA61SHINE preliminary
p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)
p+p in NA49 acc
Be+Be in NA49 acc
Ar+Sc 0-5 in NA49 acc
No prominent structures which could be related to CP are visible
∆[PT N] is more sensitive to centrality selection than Σ[PT N]
T Anticic et al (NA49 Collaboration) PRC 92 no4044905
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2123
∆Σ[PT N] system size dependenceNA49 acceptance
rangWlang1 10 210 310
N]
T[P∆
06
08
1
12
14 -h
NA61SHINE preliminary
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -h
NA61SHINE preliminary
rangWlang1 10 210 310
N]
T[P∆
06
08
1
12
14 +h
NA61SHINE preliminary
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 +h
NA61SHINE preliminary
150-158A GeVc
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -+h+h
NA61SHINE preliminary
p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)
p+p in NA49 acc
Be+Be in NA49 acc
Ar+Sc 0-5 in NA49 acc
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -+h+h
NA61SHINE preliminary
p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)
p+p in NA49 acc
Be+Be in NA49 acc
Ar+Sc 0-5 in NA49 acc
No prominent structureswhich could be relatedto CP are visible
∆[PT N] for less centralcollisions (C+C Si+Si)deviates stronger fromother measurementsthan Σ[PT N]
T Anticic et al (NA49 Collaboration)
PRC 92 no4044905
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2223
Conclusions - 1
bull Preliminary results on PT vs N fluctuations for forward energyselected 40Ar+45Sc collisions with particles produced in strong andEM processes within the NA61SHINE acceptance atradicsNN = 612 762 876 1194 1683 GeV were reported
bull Uncorrected and corrected measurements of strongly intensivequantities ∆[PT N] and Σ[PT N] were shown
bull The results were compared with 1) the NA61SHINE data onp+p and 7Be+9Be collisions 2) the NA49 data on p+p C+CSi+Si and Pb+Pb collisions 3) the predictions of the EPOS199model
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2323
Conclusions - 2
bull No clear indications of CP in strongly intensive PT vs N fluctuationmeasures were observedbull Analyses more sensitive to CP (intermittency higher momentsidentified particle ratio fluctuations etc) of the NA61SHINE are inprogressbull See dedicated NA61SHINE talks on higher moments by MMackowiak-Pawlowska and on intermittency by N Davis on Friday
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[P∆
06
08
1
12
NA61SHINE preliminary
-+h+h
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[PΣ
09
1
11
12
NA61SHINE preliminary
-+h+h
Waiting for p+Pb Xe+La and Pb+Pb
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2423
evgenyandronovcernch
Thank You
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2523
Back-up
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2623
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2723
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2823
LMPD
Four large volume Time Projection Chambers (TPCs) VTPC-1 VTPC-2 (inside superconducting magnets) MTPC-L MTPC-R measurement of dEdx and p Time of Flight (ToF) detector walls
Projectile Spectator Detector (PSD) for centrality measurement (energy of projectile spectators) and determination of reaction plane resolution of 1 nucleon () in the studied energy range (important for fluctuation analysis)
Helium beam pipes inside VTPC-1 and VTPC-2 (to reduce -electrons)
Z-detector (measures ion charge for on-line selection of secondary ions A-detector (measures mass composition of secondary ion beam)
Low Momentum Particle Detector (LMPD) for centrality determination in p+A measures target nucleus spectators
PSD
Large acceptance asymp 50 High momentum resolution σ(p)p2asymp10-4(GeVc)-1 (at full B=9 T∙m) ToF walls resolution ToF-LR σ(t)asymp60 ps ToF-F σ(t)asymp120 ps Good particle identification σ(dEdx)ltdEdxgtasymp004 σ(minv)asymp5 MeV
High detector efficiency gt 95 Event rate 70 eventssec
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2923
Centrality determinationDue to the differences in magnetic field PSD position and Fermimotion for various energies different set of modules is chosen tocalculate the EF
Centrality selection in Ar+Sc collisionsProjectile Spectator Detector
Due to the differences in magnetic field and PSD position for variousenergies different set of modules is chosen to calculate the EF
13 AGeVc 19 AGeVc 30 AGeVc
40 AGeVc 75 AGeVc 150 AGeVc
The module sets are chosen on the basis of corelations between energyand multiplicity for each module
5 1The module sets are chosen on the basis of corelations betweenenergy and multiplicity for each module
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3023
Statistics40Ar+ 45Sc 0minus 5 0 lt yπ lt ybeam
Event stats 19 30 40 75 150
Total 21M 31M 19M 41M 28M
Selected 01M 02M 01M 05M 01M
Track stats 19 30 40 75 150
Total 22M 54M 35M 156M 55M
Selected 5M 11M 8M 37M 15M
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3123
[PT N] fluctuations
PT =sumN
i=1 pTi
∆[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ]minus 〈PT 〉ω[N])
Σ[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ] + 〈PT 〉ω[N]minus 2cov(PT N))
Here
ω[PT ] =〈P2
T 〉minus〈PT 〉2〈PT 〉 〈〉 - average over all events
ω[N] = 〈N2〉minus〈N〉2〈N〉
ω[pT ] =p2TminuspT 2
pT middot - average over all particles
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3223
∆Σ[PT N] effect of correctionsp+p vs 7Be+9Be
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
p+p uncorrectedp+p corrected
Be 0-5 uncorrected9Be+7 Be 0-5 corrected9Be+7
Corrections are larger for ∆[PT N] in p+p and for Σ[PT N] in 7Be+9Be
SI fluctuation measures do not change their energy dependence after corrections
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3323
∆Σ[PT N] acceptance dependencep+p
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
p+p full NA61 acc
beamp+p 0ltylty
Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]
Energy dependence trend is the same for full and limited acceptance
Systematic uncertainties for limited acceptance are expected to be ofabout uncertainties for full acceptance
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3423
∆Σ[PT N] acceptance dependencep+p
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
p+p full NA61 acc
beamp+p 0ltylty
Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]
∆[PT N] and Σ[PT N]changes due toacceptance are morepronounced for positivelycharged hadrons
It can be indication ofstronger ∆++ resonancedecay contribution forfull acceptance case
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3523
∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc
Centrality classes from 0minus 1 to 0minus 10
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
30A GeVc
30A GeVc EPOS199
Σ[PT N] is less centrality dependent than ∆[PT N] both in data and inthe EPOS199 model
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3623
∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12+h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
30A GeVc
30A GeVc EPOS199
The EPOS199 modeldescribes better∆[PT N] for negativelycharged hadrons andΣ[PT N] for positivelycharged hadrons
Σ[PT N] is lesscentrality dependentthan ∆[PT N] fornegatively and positivelycharged hadrons
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3723
∆Σ[PT N] energy dependence for 2 centrality classes40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
Corrected 0-5
Corrected 0-1
Σ[PT N] is less centrality dependent than ∆[PT N]
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3823
Centrality dependence
centrality
] - N
T[PΣ
] or
-
NT
[P∆]
or
-[N
ω
1
10
0-5 0-10 0-15 0-20
UrQMD 33 20A GeVneg charged
]-[Nω]- N
T[P∆
]- NT
[PΣ
(a)
centrality
] - N
T[PΣ
] or
-
NT
[P∆]
or
-[N
ω
1
10
0-5 0-10 0-15 0-20
UrQMD 33 20A GeVneg charged
lt 2π
0 lt y
]-[Nω]- N
T[P∆
]- NT
[PΣ
(b)
Figure 5 (Color online) The UrQMD results for the centrality dependence of ω[Nminus] (squares)
∆[PT Nminus] (circles) and Σ[PT Nminus] (triangles) in Pb+Pb collisions at Elab = 20A GeV A centrality
selection is done with a restriction on the impact parameter b (a) The full 4π detector acceptance
(b) Only particles with center of mass rapidity in the interval 1 lt yπ lt 2 are accepted (pion mass was
assumed for all particles) Open symbols correspond to the case when 10 of particles was randomly
rejected
and we call it acceptance losses On the other hand even in this accepted kinematic region we
still may have efficiency losses due to track reconstruction problems (including problems with
ionization energy loss dEdx reconstruction)
The UrQMD results for negatively charged particles in Pb+Pb collisions at Elab = 20A GeV
for the full 4π acceptance and for the particles accepted only in the center of mass rapidity
interval 1 lt yπ lt 2 are shown in Fig 5 (a) and (b) respectively (full symbols) From a
comparison of the results for the full and limited detector acceptance one observes rather strong
effects of acceptance losses for the scaled variance ω[Nminus] The strongly intensive measures
∆[PT Nminus] and Σ[PT Nminus] look again more appropriate The effects of the limited acceptance
are rather moderate for ∆[PT Nminus] and almost absent for Σ[PT Nminus] We also would like to stress
that the acceptance dependence shown in Fig 5 is the example only In general the measured
25
MGorenstein KGrebieszkow PRC 89034903
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3923
∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structures which could be related to CP are visible
Systematic uncertainties are under investigation (first estimates - 2 for 3 low
energies and of about 5 for 2 top energies)
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4023
∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structureswhich could be relatedto CP are visible
∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems
Systematic uncertainties
are under investigation
(first estimates - 2 for 3
low energies and of about
5 for 2 top energies)
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4123
Σ[PT N] system size dependence
Linear fit Parabolic fit
10 210
098
1
102
104
106
108
Graph ndf 2χ 4872 4
p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus
ndf 2χ 4872 4p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus
Graph
10 210
098
1
102
104
106
108
Graph ndf 2χ 3119 3
p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus
ndf 2χ 3119 3p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus
Graph
Gaussian fit
10 210
098
1
102
104
106
108
Graph ndf 2χ 3124 3
Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421
ndf 2χ 3124 3Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421
Graph
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4223
Corrections
Corrections for contamination from off-target interactions for40Ar+45Sc were not applied but with applied vertex positionselection they are expected to be less than 1
MMP WUT (NA61SHINE) Quark Matter 2015 Kobe Japan September 20 2015 19 17
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4323
Obtaining 〈W 〉
Glissando MC is based on Glauber model whereas EPOS utilizesparton ladder model
rdquoin our case the inelastic Nucleon-Nucleon cross-section in anucleus is smaller than the corresponding pp cross-section leadingto less binary collisions than in standard Glauberrdquo
Tanguy Pierog core EPOS developer
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4423
Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons
ent
ries
0
100
200
300
400
500
600
700
N0 100 200
[G
eVc
]T
P
0
20
40
60
Mean x 1047Mean y 3454RMS x 1249RMS y 4695
-+h+hNA61SHINE preliminary
]2c2 [GeVT2P0 20 40
]2G
eV2
) [c
T2
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 17RMS 3164
NA61SHINE preliminary
N PT and PT 2 =sumN
i=1 p2Ti are measured for each event
PT 2 is needed to calculate the scaled variance of the inclusive
pT distribution ω[pT ] =p2TminuspT 2
pTusing only event quantities
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4523
Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons
N PT and PT 2 =sumN
i=1 p2Ti are measured for each event
PT 2 is needed to calculate the scaled variance of the inclusive
pT distribution ω[pT ] =p2TminuspT 2
pTusing only event quantities
N0 100 200
P(N
)
5minus10
4minus10
3minus10
2minus10
Mean 1047RMS 1249
NA61SHINE preliminary
[GeVc]TP0 20 40 60
) [c
GeV
]T
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 3453RMS 4701
NA61SHINE preliminary
[GeVc]TNP0 5000 10000 15000
) [c
GeV
]T
P(N
P
7minus10
6minus10
5minus10
4minus10
Mean 3665RMS 8972
NA61SHINE preliminary
]2c2 [GeVT2P0 20 40
]2G
eV2
) [c
T2
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 17RMS 3164
NA61SHINE preliminary
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
623
Analysis
I Event selection criteriabull good beam qualitybull no off-time beam particlesbull good main vertex fitbull centrality selected by forward energy
I Track selection criteriabull sufficient number of points inside TPCsbull track trajectory points to interaction pointbull not electron or positronbull pT lt 15 GeVcbull 0 lt yπ lt ybeam (due to poor azimuthal angleacceptance and stronger electron contamination atbackward rapidities)bull NA61SHINE acceptance map
40Ar+45Sc 150A GeVc
0
500
1000
1500
2000
2500
π y-4 -2 0 2 4
[G
eVc
]Tp
0
05
1
15
40Ar+45Sc 19A GeVc
0
200
400
600
800
1000
1200
π y-4 -2 0 2 4
[G
eVc
]Tp
0
05
1
15
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
723
Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5
ent
ries
0
100
200
300
400
500
600
700
N0 100 200
[G
eVc
]T
P
0
20
40
60
Mean x 1047Mean y 3454RMS x 1249RMS y 4695
-+h+hNA61SHINE preliminary
ent
ries
0
200
400
600
800
1000
1200
1400
1600
N0 100 200
[G
eVc
]T
P
0
20
40
60
Mean x 4893Mean y 1512RMS x 6932RMS y 2589
-hNA61SHINE preliminary
ent
ries
0
200
400
600
800
1000
1200
1400
N0 100 200
[G
eVc
]T
P
0
20
40
60
Mean x 5574Mean y 1942RMS x 7555RMS y 3161
+hNA61SHINE preliminary
N PT and PT 2 =sumN
i=1 p2Ti are measured for each event
PT 2 is needed to calculate the scaled variance of the inclusive
pT distribution ω[pT ] =p2TminuspT 2
pTusing only event quantities
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
823
Corrections
K Werner et al PRC 74044902
I MC used for corrections EPOS199 model (version CRMC 153)GEANT321 The simulated data were analysed within the NA61SHINEacceptance
I Corrections for losses due to event and track selections trigger biasesdetector inefficiencies secondary interactions and feed-down from weakdecays for 40Ar+45Sc were performed on the level of the first and secondmoments of measured observables
I Correction factors for 〈N〉 〈N2〉 〈PT 〉 〈P2T 〉 〈N middot PT 〉 and 〈PT 2〉 were
calculated as ratios of the corresponding moments for pure toreconstructed MC for positively negatively and all charged hadronsseparately
Note on errorsStatistical uncertainties were calculated using the sub-sample method They aretypically smaller than the marker size
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
923
∆Σ[PT N] effect of corrections40Ar+45Sc 0-5
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
UncorrectedCorrectedReconstructed EPOS199Pure EPOS199
The correction changes uncorrected data by no more than 10Systematic uncertainties are under investigation (first estimates - 2 for 3 low
energies and of about 5 for 2 top energies)
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1023
∆Σ[PT N] effect of corrections40Ar+45Sc 0-5
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
UncorrectedCorrectedReconstructed EPOS199Pure EPOS199
Systematic uncertaintiesare under investigation(first estimates - 2 for3 low energies and ofabout 5 for 2 topenergies)
Magnitude of correctionsis similar for negativelyand positively chargedhadrons
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1123
Preliminary results
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1223
∆Σ[PT N] energy dependence40Ar+45Sc 0-5 vs EPOS199 0-5
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
NA61SHINE 0-5
EPOS199 0-5
The EPOS199 model overestimates ∆[PT N]
Weak and smooth energy dependence of ∆[PT N] and Σ[PT N] noevidence of anomalies related to CP
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1323
∆Σ[PT N] energy dependence40Ar+45Sc 0-5 vs EPOS199 0-5
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
NA61SHINE 0-5
EPOS199 0-5
Weak and smoothenergy dependence of∆[PT N] and Σ[PT N]no evidence of anomaliesrelated to CP
EPOS describes better∆[PT N] for negativelycharged hadrons andΣ[PT N] for positivelycharged hadrons
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1423
∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structures which could be related to CP are visible
Systematic uncertainties are under investigation (first estimates - 2 for 3 low
energies and of about 5 for 2 top energies)
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1523
∆Σ[PT N] energy vs system size scanp+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[P∆
06
08
1
12
NA61SHINE preliminary
-+h+h
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[PΣ
09
1
11
12
NA61SHINE preliminary
-+h+h
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structures which could be related to CP are visible
Mean number of wounded nucleons 〈W 〉 estimated using the GLISSANDOmodel
Statistical uncertainties are less than 1 for all points and not drawn Systematic
uncertainties are under investigation (first estimates - 2 for 3 low energies and
of about 5 for 2 top energies)
W Broniowski M Rybczynski PRC 81 064909
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1623
∆Σ[PT N] energy vs system size scanp+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[P∆
06
08
1
12
NA61SHINE preliminary
-h
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[PΣ
09
1
11
12
NA61SHINE preliminary
-h
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[P∆
06
08
1
12
NA61SHINE preliminary
+h
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[PΣ
09
1
11
12
NA61SHINE preliminary
+h
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structures which could be related to CP are visible
∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems
1) Bose-Einsteinstatistics of pion gas2) negative M (pT )vs N correlationleads to the sameinequalitiesMGorenstein KGrebieszkow PRC
89034903
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1723
Comparison with Pb+Pb results from NA49
To compare results of pT fluctuations NA49 cuts were applied toNA61SHINE dataIn NA49bull because of high density of tracks analysis was limited toforward-rapidity region (11 lt yπ lt 26)bull to exclude elastically scattered or diffractively produced protonsanalysis was limited in proton rapidity (yp lt ybeam minus 05)bull 0005 lt pT lt 15 GeVcbull common azimuthal acceptance for all energies (only for energydependence analysis)
T Anticic et al (NA49 Collaboration) PRC 92 no4044905
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1823
∆Σ[PT N] energy dependence40Ar+45Sc vs Pb+Pb (NA49 acceptance)
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
Sc 0-5 in NA49 acc45Ar+40
Pb+Pb 0-72 (NA49)
Results for 40Ar+45Sc collisions are very close to Pb+Pb No prominentstructures which could be related to CP are visible
∆[PT N] lt 1 and Σ[PT N] is consistent with 1 for both systemsT Anticic et al (NA49 Collaboration) PRC 92 no4044905
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1923
∆Σ[PT N] energy dependence40Ar+45Sc vs Pb+Pb (NA49 acceptance)
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
Sc 0-5 in NA49 acc45Ar+40
Pb+Pb 0-72 (NA49)
No prominent structureswhich could be relatedto CP are visible
∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems
T Anticic et al (NA49 Collaboration) PRC 92 no4044905
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2023
∆Σ[PT N] system size dependenceNA49 acceptance
rangWlang1 10 210 310
N]
T[P∆
06
08
1
12
14 -+h+h
NA61SHINE preliminary
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -+h+h
NA61SHINE preliminary
150-158A GeVc
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -+h+h
NA61SHINE preliminary
p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)
p+p in NA49 acc
Be+Be in NA49 acc
Ar+Sc 0-5 in NA49 acc
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -+h+h
NA61SHINE preliminary
p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)
p+p in NA49 acc
Be+Be in NA49 acc
Ar+Sc 0-5 in NA49 acc
No prominent structures which could be related to CP are visible
∆[PT N] is more sensitive to centrality selection than Σ[PT N]
T Anticic et al (NA49 Collaboration) PRC 92 no4044905
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2123
∆Σ[PT N] system size dependenceNA49 acceptance
rangWlang1 10 210 310
N]
T[P∆
06
08
1
12
14 -h
NA61SHINE preliminary
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -h
NA61SHINE preliminary
rangWlang1 10 210 310
N]
T[P∆
06
08
1
12
14 +h
NA61SHINE preliminary
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 +h
NA61SHINE preliminary
150-158A GeVc
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -+h+h
NA61SHINE preliminary
p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)
p+p in NA49 acc
Be+Be in NA49 acc
Ar+Sc 0-5 in NA49 acc
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -+h+h
NA61SHINE preliminary
p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)
p+p in NA49 acc
Be+Be in NA49 acc
Ar+Sc 0-5 in NA49 acc
No prominent structureswhich could be relatedto CP are visible
∆[PT N] for less centralcollisions (C+C Si+Si)deviates stronger fromother measurementsthan Σ[PT N]
T Anticic et al (NA49 Collaboration)
PRC 92 no4044905
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2223
Conclusions - 1
bull Preliminary results on PT vs N fluctuations for forward energyselected 40Ar+45Sc collisions with particles produced in strong andEM processes within the NA61SHINE acceptance atradicsNN = 612 762 876 1194 1683 GeV were reported
bull Uncorrected and corrected measurements of strongly intensivequantities ∆[PT N] and Σ[PT N] were shown
bull The results were compared with 1) the NA61SHINE data onp+p and 7Be+9Be collisions 2) the NA49 data on p+p C+CSi+Si and Pb+Pb collisions 3) the predictions of the EPOS199model
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2323
Conclusions - 2
bull No clear indications of CP in strongly intensive PT vs N fluctuationmeasures were observedbull Analyses more sensitive to CP (intermittency higher momentsidentified particle ratio fluctuations etc) of the NA61SHINE are inprogressbull See dedicated NA61SHINE talks on higher moments by MMackowiak-Pawlowska and on intermittency by N Davis on Friday
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[P∆
06
08
1
12
NA61SHINE preliminary
-+h+h
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[PΣ
09
1
11
12
NA61SHINE preliminary
-+h+h
Waiting for p+Pb Xe+La and Pb+Pb
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2423
evgenyandronovcernch
Thank You
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2523
Back-up
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2623
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2723
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2823
LMPD
Four large volume Time Projection Chambers (TPCs) VTPC-1 VTPC-2 (inside superconducting magnets) MTPC-L MTPC-R measurement of dEdx and p Time of Flight (ToF) detector walls
Projectile Spectator Detector (PSD) for centrality measurement (energy of projectile spectators) and determination of reaction plane resolution of 1 nucleon () in the studied energy range (important for fluctuation analysis)
Helium beam pipes inside VTPC-1 and VTPC-2 (to reduce -electrons)
Z-detector (measures ion charge for on-line selection of secondary ions A-detector (measures mass composition of secondary ion beam)
Low Momentum Particle Detector (LMPD) for centrality determination in p+A measures target nucleus spectators
PSD
Large acceptance asymp 50 High momentum resolution σ(p)p2asymp10-4(GeVc)-1 (at full B=9 T∙m) ToF walls resolution ToF-LR σ(t)asymp60 ps ToF-F σ(t)asymp120 ps Good particle identification σ(dEdx)ltdEdxgtasymp004 σ(minv)asymp5 MeV
High detector efficiency gt 95 Event rate 70 eventssec
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2923
Centrality determinationDue to the differences in magnetic field PSD position and Fermimotion for various energies different set of modules is chosen tocalculate the EF
Centrality selection in Ar+Sc collisionsProjectile Spectator Detector
Due to the differences in magnetic field and PSD position for variousenergies different set of modules is chosen to calculate the EF
13 AGeVc 19 AGeVc 30 AGeVc
40 AGeVc 75 AGeVc 150 AGeVc
The module sets are chosen on the basis of corelations between energyand multiplicity for each module
5 1The module sets are chosen on the basis of corelations betweenenergy and multiplicity for each module
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3023
Statistics40Ar+ 45Sc 0minus 5 0 lt yπ lt ybeam
Event stats 19 30 40 75 150
Total 21M 31M 19M 41M 28M
Selected 01M 02M 01M 05M 01M
Track stats 19 30 40 75 150
Total 22M 54M 35M 156M 55M
Selected 5M 11M 8M 37M 15M
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3123
[PT N] fluctuations
PT =sumN
i=1 pTi
∆[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ]minus 〈PT 〉ω[N])
Σ[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ] + 〈PT 〉ω[N]minus 2cov(PT N))
Here
ω[PT ] =〈P2
T 〉minus〈PT 〉2〈PT 〉 〈〉 - average over all events
ω[N] = 〈N2〉minus〈N〉2〈N〉
ω[pT ] =p2TminuspT 2
pT middot - average over all particles
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3223
∆Σ[PT N] effect of correctionsp+p vs 7Be+9Be
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
p+p uncorrectedp+p corrected
Be 0-5 uncorrected9Be+7 Be 0-5 corrected9Be+7
Corrections are larger for ∆[PT N] in p+p and for Σ[PT N] in 7Be+9Be
SI fluctuation measures do not change their energy dependence after corrections
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3323
∆Σ[PT N] acceptance dependencep+p
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
p+p full NA61 acc
beamp+p 0ltylty
Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]
Energy dependence trend is the same for full and limited acceptance
Systematic uncertainties for limited acceptance are expected to be ofabout uncertainties for full acceptance
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3423
∆Σ[PT N] acceptance dependencep+p
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
p+p full NA61 acc
beamp+p 0ltylty
Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]
∆[PT N] and Σ[PT N]changes due toacceptance are morepronounced for positivelycharged hadrons
It can be indication ofstronger ∆++ resonancedecay contribution forfull acceptance case
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3523
∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc
Centrality classes from 0minus 1 to 0minus 10
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
30A GeVc
30A GeVc EPOS199
Σ[PT N] is less centrality dependent than ∆[PT N] both in data and inthe EPOS199 model
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3623
∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12+h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
30A GeVc
30A GeVc EPOS199
The EPOS199 modeldescribes better∆[PT N] for negativelycharged hadrons andΣ[PT N] for positivelycharged hadrons
Σ[PT N] is lesscentrality dependentthan ∆[PT N] fornegatively and positivelycharged hadrons
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3723
∆Σ[PT N] energy dependence for 2 centrality classes40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
Corrected 0-5
Corrected 0-1
Σ[PT N] is less centrality dependent than ∆[PT N]
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3823
Centrality dependence
centrality
] - N
T[PΣ
] or
-
NT
[P∆]
or
-[N
ω
1
10
0-5 0-10 0-15 0-20
UrQMD 33 20A GeVneg charged
]-[Nω]- N
T[P∆
]- NT
[PΣ
(a)
centrality
] - N
T[PΣ
] or
-
NT
[P∆]
or
-[N
ω
1
10
0-5 0-10 0-15 0-20
UrQMD 33 20A GeVneg charged
lt 2π
0 lt y
]-[Nω]- N
T[P∆
]- NT
[PΣ
(b)
Figure 5 (Color online) The UrQMD results for the centrality dependence of ω[Nminus] (squares)
∆[PT Nminus] (circles) and Σ[PT Nminus] (triangles) in Pb+Pb collisions at Elab = 20A GeV A centrality
selection is done with a restriction on the impact parameter b (a) The full 4π detector acceptance
(b) Only particles with center of mass rapidity in the interval 1 lt yπ lt 2 are accepted (pion mass was
assumed for all particles) Open symbols correspond to the case when 10 of particles was randomly
rejected
and we call it acceptance losses On the other hand even in this accepted kinematic region we
still may have efficiency losses due to track reconstruction problems (including problems with
ionization energy loss dEdx reconstruction)
The UrQMD results for negatively charged particles in Pb+Pb collisions at Elab = 20A GeV
for the full 4π acceptance and for the particles accepted only in the center of mass rapidity
interval 1 lt yπ lt 2 are shown in Fig 5 (a) and (b) respectively (full symbols) From a
comparison of the results for the full and limited detector acceptance one observes rather strong
effects of acceptance losses for the scaled variance ω[Nminus] The strongly intensive measures
∆[PT Nminus] and Σ[PT Nminus] look again more appropriate The effects of the limited acceptance
are rather moderate for ∆[PT Nminus] and almost absent for Σ[PT Nminus] We also would like to stress
that the acceptance dependence shown in Fig 5 is the example only In general the measured
25
MGorenstein KGrebieszkow PRC 89034903
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3923
∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structures which could be related to CP are visible
Systematic uncertainties are under investigation (first estimates - 2 for 3 low
energies and of about 5 for 2 top energies)
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4023
∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structureswhich could be relatedto CP are visible
∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems
Systematic uncertainties
are under investigation
(first estimates - 2 for 3
low energies and of about
5 for 2 top energies)
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4123
Σ[PT N] system size dependence
Linear fit Parabolic fit
10 210
098
1
102
104
106
108
Graph ndf 2χ 4872 4
p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus
ndf 2χ 4872 4p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus
Graph
10 210
098
1
102
104
106
108
Graph ndf 2χ 3119 3
p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus
ndf 2χ 3119 3p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus
Graph
Gaussian fit
10 210
098
1
102
104
106
108
Graph ndf 2χ 3124 3
Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421
ndf 2χ 3124 3Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421
Graph
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4223
Corrections
Corrections for contamination from off-target interactions for40Ar+45Sc were not applied but with applied vertex positionselection they are expected to be less than 1
MMP WUT (NA61SHINE) Quark Matter 2015 Kobe Japan September 20 2015 19 17
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4323
Obtaining 〈W 〉
Glissando MC is based on Glauber model whereas EPOS utilizesparton ladder model
rdquoin our case the inelastic Nucleon-Nucleon cross-section in anucleus is smaller than the corresponding pp cross-section leadingto less binary collisions than in standard Glauberrdquo
Tanguy Pierog core EPOS developer
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4423
Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons
ent
ries
0
100
200
300
400
500
600
700
N0 100 200
[G
eVc
]T
P
0
20
40
60
Mean x 1047Mean y 3454RMS x 1249RMS y 4695
-+h+hNA61SHINE preliminary
]2c2 [GeVT2P0 20 40
]2G
eV2
) [c
T2
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 17RMS 3164
NA61SHINE preliminary
N PT and PT 2 =sumN
i=1 p2Ti are measured for each event
PT 2 is needed to calculate the scaled variance of the inclusive
pT distribution ω[pT ] =p2TminuspT 2
pTusing only event quantities
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4523
Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons
N PT and PT 2 =sumN
i=1 p2Ti are measured for each event
PT 2 is needed to calculate the scaled variance of the inclusive
pT distribution ω[pT ] =p2TminuspT 2
pTusing only event quantities
N0 100 200
P(N
)
5minus10
4minus10
3minus10
2minus10
Mean 1047RMS 1249
NA61SHINE preliminary
[GeVc]TP0 20 40 60
) [c
GeV
]T
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 3453RMS 4701
NA61SHINE preliminary
[GeVc]TNP0 5000 10000 15000
) [c
GeV
]T
P(N
P
7minus10
6minus10
5minus10
4minus10
Mean 3665RMS 8972
NA61SHINE preliminary
]2c2 [GeVT2P0 20 40
]2G
eV2
) [c
T2
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 17RMS 3164
NA61SHINE preliminary
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
723
Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5
ent
ries
0
100
200
300
400
500
600
700
N0 100 200
[G
eVc
]T
P
0
20
40
60
Mean x 1047Mean y 3454RMS x 1249RMS y 4695
-+h+hNA61SHINE preliminary
ent
ries
0
200
400
600
800
1000
1200
1400
1600
N0 100 200
[G
eVc
]T
P
0
20
40
60
Mean x 4893Mean y 1512RMS x 6932RMS y 2589
-hNA61SHINE preliminary
ent
ries
0
200
400
600
800
1000
1200
1400
N0 100 200
[G
eVc
]T
P
0
20
40
60
Mean x 5574Mean y 1942RMS x 7555RMS y 3161
+hNA61SHINE preliminary
N PT and PT 2 =sumN
i=1 p2Ti are measured for each event
PT 2 is needed to calculate the scaled variance of the inclusive
pT distribution ω[pT ] =p2TminuspT 2
pTusing only event quantities
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
823
Corrections
K Werner et al PRC 74044902
I MC used for corrections EPOS199 model (version CRMC 153)GEANT321 The simulated data were analysed within the NA61SHINEacceptance
I Corrections for losses due to event and track selections trigger biasesdetector inefficiencies secondary interactions and feed-down from weakdecays for 40Ar+45Sc were performed on the level of the first and secondmoments of measured observables
I Correction factors for 〈N〉 〈N2〉 〈PT 〉 〈P2T 〉 〈N middot PT 〉 and 〈PT 2〉 were
calculated as ratios of the corresponding moments for pure toreconstructed MC for positively negatively and all charged hadronsseparately
Note on errorsStatistical uncertainties were calculated using the sub-sample method They aretypically smaller than the marker size
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
923
∆Σ[PT N] effect of corrections40Ar+45Sc 0-5
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
UncorrectedCorrectedReconstructed EPOS199Pure EPOS199
The correction changes uncorrected data by no more than 10Systematic uncertainties are under investigation (first estimates - 2 for 3 low
energies and of about 5 for 2 top energies)
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1023
∆Σ[PT N] effect of corrections40Ar+45Sc 0-5
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
UncorrectedCorrectedReconstructed EPOS199Pure EPOS199
Systematic uncertaintiesare under investigation(first estimates - 2 for3 low energies and ofabout 5 for 2 topenergies)
Magnitude of correctionsis similar for negativelyand positively chargedhadrons
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1123
Preliminary results
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1223
∆Σ[PT N] energy dependence40Ar+45Sc 0-5 vs EPOS199 0-5
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
NA61SHINE 0-5
EPOS199 0-5
The EPOS199 model overestimates ∆[PT N]
Weak and smooth energy dependence of ∆[PT N] and Σ[PT N] noevidence of anomalies related to CP
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1323
∆Σ[PT N] energy dependence40Ar+45Sc 0-5 vs EPOS199 0-5
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
NA61SHINE 0-5
EPOS199 0-5
Weak and smoothenergy dependence of∆[PT N] and Σ[PT N]no evidence of anomaliesrelated to CP
EPOS describes better∆[PT N] for negativelycharged hadrons andΣ[PT N] for positivelycharged hadrons
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1423
∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structures which could be related to CP are visible
Systematic uncertainties are under investigation (first estimates - 2 for 3 low
energies and of about 5 for 2 top energies)
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1523
∆Σ[PT N] energy vs system size scanp+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[P∆
06
08
1
12
NA61SHINE preliminary
-+h+h
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[PΣ
09
1
11
12
NA61SHINE preliminary
-+h+h
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structures which could be related to CP are visible
Mean number of wounded nucleons 〈W 〉 estimated using the GLISSANDOmodel
Statistical uncertainties are less than 1 for all points and not drawn Systematic
uncertainties are under investigation (first estimates - 2 for 3 low energies and
of about 5 for 2 top energies)
W Broniowski M Rybczynski PRC 81 064909
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1623
∆Σ[PT N] energy vs system size scanp+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[P∆
06
08
1
12
NA61SHINE preliminary
-h
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[PΣ
09
1
11
12
NA61SHINE preliminary
-h
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[P∆
06
08
1
12
NA61SHINE preliminary
+h
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[PΣ
09
1
11
12
NA61SHINE preliminary
+h
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structures which could be related to CP are visible
∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems
1) Bose-Einsteinstatistics of pion gas2) negative M (pT )vs N correlationleads to the sameinequalitiesMGorenstein KGrebieszkow PRC
89034903
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1723
Comparison with Pb+Pb results from NA49
To compare results of pT fluctuations NA49 cuts were applied toNA61SHINE dataIn NA49bull because of high density of tracks analysis was limited toforward-rapidity region (11 lt yπ lt 26)bull to exclude elastically scattered or diffractively produced protonsanalysis was limited in proton rapidity (yp lt ybeam minus 05)bull 0005 lt pT lt 15 GeVcbull common azimuthal acceptance for all energies (only for energydependence analysis)
T Anticic et al (NA49 Collaboration) PRC 92 no4044905
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1823
∆Σ[PT N] energy dependence40Ar+45Sc vs Pb+Pb (NA49 acceptance)
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
Sc 0-5 in NA49 acc45Ar+40
Pb+Pb 0-72 (NA49)
Results for 40Ar+45Sc collisions are very close to Pb+Pb No prominentstructures which could be related to CP are visible
∆[PT N] lt 1 and Σ[PT N] is consistent with 1 for both systemsT Anticic et al (NA49 Collaboration) PRC 92 no4044905
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1923
∆Σ[PT N] energy dependence40Ar+45Sc vs Pb+Pb (NA49 acceptance)
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
Sc 0-5 in NA49 acc45Ar+40
Pb+Pb 0-72 (NA49)
No prominent structureswhich could be relatedto CP are visible
∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems
T Anticic et al (NA49 Collaboration) PRC 92 no4044905
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2023
∆Σ[PT N] system size dependenceNA49 acceptance
rangWlang1 10 210 310
N]
T[P∆
06
08
1
12
14 -+h+h
NA61SHINE preliminary
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -+h+h
NA61SHINE preliminary
150-158A GeVc
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -+h+h
NA61SHINE preliminary
p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)
p+p in NA49 acc
Be+Be in NA49 acc
Ar+Sc 0-5 in NA49 acc
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -+h+h
NA61SHINE preliminary
p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)
p+p in NA49 acc
Be+Be in NA49 acc
Ar+Sc 0-5 in NA49 acc
No prominent structures which could be related to CP are visible
∆[PT N] is more sensitive to centrality selection than Σ[PT N]
T Anticic et al (NA49 Collaboration) PRC 92 no4044905
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2123
∆Σ[PT N] system size dependenceNA49 acceptance
rangWlang1 10 210 310
N]
T[P∆
06
08
1
12
14 -h
NA61SHINE preliminary
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -h
NA61SHINE preliminary
rangWlang1 10 210 310
N]
T[P∆
06
08
1
12
14 +h
NA61SHINE preliminary
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 +h
NA61SHINE preliminary
150-158A GeVc
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -+h+h
NA61SHINE preliminary
p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)
p+p in NA49 acc
Be+Be in NA49 acc
Ar+Sc 0-5 in NA49 acc
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -+h+h
NA61SHINE preliminary
p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)
p+p in NA49 acc
Be+Be in NA49 acc
Ar+Sc 0-5 in NA49 acc
No prominent structureswhich could be relatedto CP are visible
∆[PT N] for less centralcollisions (C+C Si+Si)deviates stronger fromother measurementsthan Σ[PT N]
T Anticic et al (NA49 Collaboration)
PRC 92 no4044905
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2223
Conclusions - 1
bull Preliminary results on PT vs N fluctuations for forward energyselected 40Ar+45Sc collisions with particles produced in strong andEM processes within the NA61SHINE acceptance atradicsNN = 612 762 876 1194 1683 GeV were reported
bull Uncorrected and corrected measurements of strongly intensivequantities ∆[PT N] and Σ[PT N] were shown
bull The results were compared with 1) the NA61SHINE data onp+p and 7Be+9Be collisions 2) the NA49 data on p+p C+CSi+Si and Pb+Pb collisions 3) the predictions of the EPOS199model
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2323
Conclusions - 2
bull No clear indications of CP in strongly intensive PT vs N fluctuationmeasures were observedbull Analyses more sensitive to CP (intermittency higher momentsidentified particle ratio fluctuations etc) of the NA61SHINE are inprogressbull See dedicated NA61SHINE talks on higher moments by MMackowiak-Pawlowska and on intermittency by N Davis on Friday
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[P∆
06
08
1
12
NA61SHINE preliminary
-+h+h
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[PΣ
09
1
11
12
NA61SHINE preliminary
-+h+h
Waiting for p+Pb Xe+La and Pb+Pb
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2423
evgenyandronovcernch
Thank You
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2523
Back-up
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2623
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2723
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2823
LMPD
Four large volume Time Projection Chambers (TPCs) VTPC-1 VTPC-2 (inside superconducting magnets) MTPC-L MTPC-R measurement of dEdx and p Time of Flight (ToF) detector walls
Projectile Spectator Detector (PSD) for centrality measurement (energy of projectile spectators) and determination of reaction plane resolution of 1 nucleon () in the studied energy range (important for fluctuation analysis)
Helium beam pipes inside VTPC-1 and VTPC-2 (to reduce -electrons)
Z-detector (measures ion charge for on-line selection of secondary ions A-detector (measures mass composition of secondary ion beam)
Low Momentum Particle Detector (LMPD) for centrality determination in p+A measures target nucleus spectators
PSD
Large acceptance asymp 50 High momentum resolution σ(p)p2asymp10-4(GeVc)-1 (at full B=9 T∙m) ToF walls resolution ToF-LR σ(t)asymp60 ps ToF-F σ(t)asymp120 ps Good particle identification σ(dEdx)ltdEdxgtasymp004 σ(minv)asymp5 MeV
High detector efficiency gt 95 Event rate 70 eventssec
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2923
Centrality determinationDue to the differences in magnetic field PSD position and Fermimotion for various energies different set of modules is chosen tocalculate the EF
Centrality selection in Ar+Sc collisionsProjectile Spectator Detector
Due to the differences in magnetic field and PSD position for variousenergies different set of modules is chosen to calculate the EF
13 AGeVc 19 AGeVc 30 AGeVc
40 AGeVc 75 AGeVc 150 AGeVc
The module sets are chosen on the basis of corelations between energyand multiplicity for each module
5 1The module sets are chosen on the basis of corelations betweenenergy and multiplicity for each module
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3023
Statistics40Ar+ 45Sc 0minus 5 0 lt yπ lt ybeam
Event stats 19 30 40 75 150
Total 21M 31M 19M 41M 28M
Selected 01M 02M 01M 05M 01M
Track stats 19 30 40 75 150
Total 22M 54M 35M 156M 55M
Selected 5M 11M 8M 37M 15M
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3123
[PT N] fluctuations
PT =sumN
i=1 pTi
∆[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ]minus 〈PT 〉ω[N])
Σ[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ] + 〈PT 〉ω[N]minus 2cov(PT N))
Here
ω[PT ] =〈P2
T 〉minus〈PT 〉2〈PT 〉 〈〉 - average over all events
ω[N] = 〈N2〉minus〈N〉2〈N〉
ω[pT ] =p2TminuspT 2
pT middot - average over all particles
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3223
∆Σ[PT N] effect of correctionsp+p vs 7Be+9Be
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
p+p uncorrectedp+p corrected
Be 0-5 uncorrected9Be+7 Be 0-5 corrected9Be+7
Corrections are larger for ∆[PT N] in p+p and for Σ[PT N] in 7Be+9Be
SI fluctuation measures do not change their energy dependence after corrections
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3323
∆Σ[PT N] acceptance dependencep+p
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
p+p full NA61 acc
beamp+p 0ltylty
Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]
Energy dependence trend is the same for full and limited acceptance
Systematic uncertainties for limited acceptance are expected to be ofabout uncertainties for full acceptance
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3423
∆Σ[PT N] acceptance dependencep+p
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
p+p full NA61 acc
beamp+p 0ltylty
Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]
∆[PT N] and Σ[PT N]changes due toacceptance are morepronounced for positivelycharged hadrons
It can be indication ofstronger ∆++ resonancedecay contribution forfull acceptance case
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3523
∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc
Centrality classes from 0minus 1 to 0minus 10
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
30A GeVc
30A GeVc EPOS199
Σ[PT N] is less centrality dependent than ∆[PT N] both in data and inthe EPOS199 model
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3623
∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12+h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
30A GeVc
30A GeVc EPOS199
The EPOS199 modeldescribes better∆[PT N] for negativelycharged hadrons andΣ[PT N] for positivelycharged hadrons
Σ[PT N] is lesscentrality dependentthan ∆[PT N] fornegatively and positivelycharged hadrons
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3723
∆Σ[PT N] energy dependence for 2 centrality classes40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
Corrected 0-5
Corrected 0-1
Σ[PT N] is less centrality dependent than ∆[PT N]
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3823
Centrality dependence
centrality
] - N
T[PΣ
] or
-
NT
[P∆]
or
-[N
ω
1
10
0-5 0-10 0-15 0-20
UrQMD 33 20A GeVneg charged
]-[Nω]- N
T[P∆
]- NT
[PΣ
(a)
centrality
] - N
T[PΣ
] or
-
NT
[P∆]
or
-[N
ω
1
10
0-5 0-10 0-15 0-20
UrQMD 33 20A GeVneg charged
lt 2π
0 lt y
]-[Nω]- N
T[P∆
]- NT
[PΣ
(b)
Figure 5 (Color online) The UrQMD results for the centrality dependence of ω[Nminus] (squares)
∆[PT Nminus] (circles) and Σ[PT Nminus] (triangles) in Pb+Pb collisions at Elab = 20A GeV A centrality
selection is done with a restriction on the impact parameter b (a) The full 4π detector acceptance
(b) Only particles with center of mass rapidity in the interval 1 lt yπ lt 2 are accepted (pion mass was
assumed for all particles) Open symbols correspond to the case when 10 of particles was randomly
rejected
and we call it acceptance losses On the other hand even in this accepted kinematic region we
still may have efficiency losses due to track reconstruction problems (including problems with
ionization energy loss dEdx reconstruction)
The UrQMD results for negatively charged particles in Pb+Pb collisions at Elab = 20A GeV
for the full 4π acceptance and for the particles accepted only in the center of mass rapidity
interval 1 lt yπ lt 2 are shown in Fig 5 (a) and (b) respectively (full symbols) From a
comparison of the results for the full and limited detector acceptance one observes rather strong
effects of acceptance losses for the scaled variance ω[Nminus] The strongly intensive measures
∆[PT Nminus] and Σ[PT Nminus] look again more appropriate The effects of the limited acceptance
are rather moderate for ∆[PT Nminus] and almost absent for Σ[PT Nminus] We also would like to stress
that the acceptance dependence shown in Fig 5 is the example only In general the measured
25
MGorenstein KGrebieszkow PRC 89034903
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3923
∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structures which could be related to CP are visible
Systematic uncertainties are under investigation (first estimates - 2 for 3 low
energies and of about 5 for 2 top energies)
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4023
∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structureswhich could be relatedto CP are visible
∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems
Systematic uncertainties
are under investigation
(first estimates - 2 for 3
low energies and of about
5 for 2 top energies)
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4123
Σ[PT N] system size dependence
Linear fit Parabolic fit
10 210
098
1
102
104
106
108
Graph ndf 2χ 4872 4
p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus
ndf 2χ 4872 4p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus
Graph
10 210
098
1
102
104
106
108
Graph ndf 2χ 3119 3
p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus
ndf 2χ 3119 3p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus
Graph
Gaussian fit
10 210
098
1
102
104
106
108
Graph ndf 2χ 3124 3
Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421
ndf 2χ 3124 3Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421
Graph
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4223
Corrections
Corrections for contamination from off-target interactions for40Ar+45Sc were not applied but with applied vertex positionselection they are expected to be less than 1
MMP WUT (NA61SHINE) Quark Matter 2015 Kobe Japan September 20 2015 19 17
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4323
Obtaining 〈W 〉
Glissando MC is based on Glauber model whereas EPOS utilizesparton ladder model
rdquoin our case the inelastic Nucleon-Nucleon cross-section in anucleus is smaller than the corresponding pp cross-section leadingto less binary collisions than in standard Glauberrdquo
Tanguy Pierog core EPOS developer
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4423
Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons
ent
ries
0
100
200
300
400
500
600
700
N0 100 200
[G
eVc
]T
P
0
20
40
60
Mean x 1047Mean y 3454RMS x 1249RMS y 4695
-+h+hNA61SHINE preliminary
]2c2 [GeVT2P0 20 40
]2G
eV2
) [c
T2
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 17RMS 3164
NA61SHINE preliminary
N PT and PT 2 =sumN
i=1 p2Ti are measured for each event
PT 2 is needed to calculate the scaled variance of the inclusive
pT distribution ω[pT ] =p2TminuspT 2
pTusing only event quantities
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4523
Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons
N PT and PT 2 =sumN
i=1 p2Ti are measured for each event
PT 2 is needed to calculate the scaled variance of the inclusive
pT distribution ω[pT ] =p2TminuspT 2
pTusing only event quantities
N0 100 200
P(N
)
5minus10
4minus10
3minus10
2minus10
Mean 1047RMS 1249
NA61SHINE preliminary
[GeVc]TP0 20 40 60
) [c
GeV
]T
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 3453RMS 4701
NA61SHINE preliminary
[GeVc]TNP0 5000 10000 15000
) [c
GeV
]T
P(N
P
7minus10
6minus10
5minus10
4minus10
Mean 3665RMS 8972
NA61SHINE preliminary
]2c2 [GeVT2P0 20 40
]2G
eV2
) [c
T2
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 17RMS 3164
NA61SHINE preliminary
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
823
Corrections
K Werner et al PRC 74044902
I MC used for corrections EPOS199 model (version CRMC 153)GEANT321 The simulated data were analysed within the NA61SHINEacceptance
I Corrections for losses due to event and track selections trigger biasesdetector inefficiencies secondary interactions and feed-down from weakdecays for 40Ar+45Sc were performed on the level of the first and secondmoments of measured observables
I Correction factors for 〈N〉 〈N2〉 〈PT 〉 〈P2T 〉 〈N middot PT 〉 and 〈PT 2〉 were
calculated as ratios of the corresponding moments for pure toreconstructed MC for positively negatively and all charged hadronsseparately
Note on errorsStatistical uncertainties were calculated using the sub-sample method They aretypically smaller than the marker size
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
923
∆Σ[PT N] effect of corrections40Ar+45Sc 0-5
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
UncorrectedCorrectedReconstructed EPOS199Pure EPOS199
The correction changes uncorrected data by no more than 10Systematic uncertainties are under investigation (first estimates - 2 for 3 low
energies and of about 5 for 2 top energies)
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1023
∆Σ[PT N] effect of corrections40Ar+45Sc 0-5
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
UncorrectedCorrectedReconstructed EPOS199Pure EPOS199
Systematic uncertaintiesare under investigation(first estimates - 2 for3 low energies and ofabout 5 for 2 topenergies)
Magnitude of correctionsis similar for negativelyand positively chargedhadrons
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1123
Preliminary results
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1223
∆Σ[PT N] energy dependence40Ar+45Sc 0-5 vs EPOS199 0-5
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
NA61SHINE 0-5
EPOS199 0-5
The EPOS199 model overestimates ∆[PT N]
Weak and smooth energy dependence of ∆[PT N] and Σ[PT N] noevidence of anomalies related to CP
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1323
∆Σ[PT N] energy dependence40Ar+45Sc 0-5 vs EPOS199 0-5
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
NA61SHINE 0-5
EPOS199 0-5
Weak and smoothenergy dependence of∆[PT N] and Σ[PT N]no evidence of anomaliesrelated to CP
EPOS describes better∆[PT N] for negativelycharged hadrons andΣ[PT N] for positivelycharged hadrons
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1423
∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structures which could be related to CP are visible
Systematic uncertainties are under investigation (first estimates - 2 for 3 low
energies and of about 5 for 2 top energies)
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1523
∆Σ[PT N] energy vs system size scanp+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[P∆
06
08
1
12
NA61SHINE preliminary
-+h+h
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[PΣ
09
1
11
12
NA61SHINE preliminary
-+h+h
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structures which could be related to CP are visible
Mean number of wounded nucleons 〈W 〉 estimated using the GLISSANDOmodel
Statistical uncertainties are less than 1 for all points and not drawn Systematic
uncertainties are under investigation (first estimates - 2 for 3 low energies and
of about 5 for 2 top energies)
W Broniowski M Rybczynski PRC 81 064909
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1623
∆Σ[PT N] energy vs system size scanp+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[P∆
06
08
1
12
NA61SHINE preliminary
-h
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[PΣ
09
1
11
12
NA61SHINE preliminary
-h
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[P∆
06
08
1
12
NA61SHINE preliminary
+h
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[PΣ
09
1
11
12
NA61SHINE preliminary
+h
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structures which could be related to CP are visible
∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems
1) Bose-Einsteinstatistics of pion gas2) negative M (pT )vs N correlationleads to the sameinequalitiesMGorenstein KGrebieszkow PRC
89034903
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1723
Comparison with Pb+Pb results from NA49
To compare results of pT fluctuations NA49 cuts were applied toNA61SHINE dataIn NA49bull because of high density of tracks analysis was limited toforward-rapidity region (11 lt yπ lt 26)bull to exclude elastically scattered or diffractively produced protonsanalysis was limited in proton rapidity (yp lt ybeam minus 05)bull 0005 lt pT lt 15 GeVcbull common azimuthal acceptance for all energies (only for energydependence analysis)
T Anticic et al (NA49 Collaboration) PRC 92 no4044905
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1823
∆Σ[PT N] energy dependence40Ar+45Sc vs Pb+Pb (NA49 acceptance)
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
Sc 0-5 in NA49 acc45Ar+40
Pb+Pb 0-72 (NA49)
Results for 40Ar+45Sc collisions are very close to Pb+Pb No prominentstructures which could be related to CP are visible
∆[PT N] lt 1 and Σ[PT N] is consistent with 1 for both systemsT Anticic et al (NA49 Collaboration) PRC 92 no4044905
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1923
∆Σ[PT N] energy dependence40Ar+45Sc vs Pb+Pb (NA49 acceptance)
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
Sc 0-5 in NA49 acc45Ar+40
Pb+Pb 0-72 (NA49)
No prominent structureswhich could be relatedto CP are visible
∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems
T Anticic et al (NA49 Collaboration) PRC 92 no4044905
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2023
∆Σ[PT N] system size dependenceNA49 acceptance
rangWlang1 10 210 310
N]
T[P∆
06
08
1
12
14 -+h+h
NA61SHINE preliminary
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -+h+h
NA61SHINE preliminary
150-158A GeVc
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -+h+h
NA61SHINE preliminary
p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)
p+p in NA49 acc
Be+Be in NA49 acc
Ar+Sc 0-5 in NA49 acc
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -+h+h
NA61SHINE preliminary
p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)
p+p in NA49 acc
Be+Be in NA49 acc
Ar+Sc 0-5 in NA49 acc
No prominent structures which could be related to CP are visible
∆[PT N] is more sensitive to centrality selection than Σ[PT N]
T Anticic et al (NA49 Collaboration) PRC 92 no4044905
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2123
∆Σ[PT N] system size dependenceNA49 acceptance
rangWlang1 10 210 310
N]
T[P∆
06
08
1
12
14 -h
NA61SHINE preliminary
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -h
NA61SHINE preliminary
rangWlang1 10 210 310
N]
T[P∆
06
08
1
12
14 +h
NA61SHINE preliminary
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 +h
NA61SHINE preliminary
150-158A GeVc
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -+h+h
NA61SHINE preliminary
p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)
p+p in NA49 acc
Be+Be in NA49 acc
Ar+Sc 0-5 in NA49 acc
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -+h+h
NA61SHINE preliminary
p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)
p+p in NA49 acc
Be+Be in NA49 acc
Ar+Sc 0-5 in NA49 acc
No prominent structureswhich could be relatedto CP are visible
∆[PT N] for less centralcollisions (C+C Si+Si)deviates stronger fromother measurementsthan Σ[PT N]
T Anticic et al (NA49 Collaboration)
PRC 92 no4044905
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2223
Conclusions - 1
bull Preliminary results on PT vs N fluctuations for forward energyselected 40Ar+45Sc collisions with particles produced in strong andEM processes within the NA61SHINE acceptance atradicsNN = 612 762 876 1194 1683 GeV were reported
bull Uncorrected and corrected measurements of strongly intensivequantities ∆[PT N] and Σ[PT N] were shown
bull The results were compared with 1) the NA61SHINE data onp+p and 7Be+9Be collisions 2) the NA49 data on p+p C+CSi+Si and Pb+Pb collisions 3) the predictions of the EPOS199model
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2323
Conclusions - 2
bull No clear indications of CP in strongly intensive PT vs N fluctuationmeasures were observedbull Analyses more sensitive to CP (intermittency higher momentsidentified particle ratio fluctuations etc) of the NA61SHINE are inprogressbull See dedicated NA61SHINE talks on higher moments by MMackowiak-Pawlowska and on intermittency by N Davis on Friday
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[P∆
06
08
1
12
NA61SHINE preliminary
-+h+h
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[PΣ
09
1
11
12
NA61SHINE preliminary
-+h+h
Waiting for p+Pb Xe+La and Pb+Pb
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2423
evgenyandronovcernch
Thank You
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2523
Back-up
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2623
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2723
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2823
LMPD
Four large volume Time Projection Chambers (TPCs) VTPC-1 VTPC-2 (inside superconducting magnets) MTPC-L MTPC-R measurement of dEdx and p Time of Flight (ToF) detector walls
Projectile Spectator Detector (PSD) for centrality measurement (energy of projectile spectators) and determination of reaction plane resolution of 1 nucleon () in the studied energy range (important for fluctuation analysis)
Helium beam pipes inside VTPC-1 and VTPC-2 (to reduce -electrons)
Z-detector (measures ion charge for on-line selection of secondary ions A-detector (measures mass composition of secondary ion beam)
Low Momentum Particle Detector (LMPD) for centrality determination in p+A measures target nucleus spectators
PSD
Large acceptance asymp 50 High momentum resolution σ(p)p2asymp10-4(GeVc)-1 (at full B=9 T∙m) ToF walls resolution ToF-LR σ(t)asymp60 ps ToF-F σ(t)asymp120 ps Good particle identification σ(dEdx)ltdEdxgtasymp004 σ(minv)asymp5 MeV
High detector efficiency gt 95 Event rate 70 eventssec
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2923
Centrality determinationDue to the differences in magnetic field PSD position and Fermimotion for various energies different set of modules is chosen tocalculate the EF
Centrality selection in Ar+Sc collisionsProjectile Spectator Detector
Due to the differences in magnetic field and PSD position for variousenergies different set of modules is chosen to calculate the EF
13 AGeVc 19 AGeVc 30 AGeVc
40 AGeVc 75 AGeVc 150 AGeVc
The module sets are chosen on the basis of corelations between energyand multiplicity for each module
5 1The module sets are chosen on the basis of corelations betweenenergy and multiplicity for each module
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3023
Statistics40Ar+ 45Sc 0minus 5 0 lt yπ lt ybeam
Event stats 19 30 40 75 150
Total 21M 31M 19M 41M 28M
Selected 01M 02M 01M 05M 01M
Track stats 19 30 40 75 150
Total 22M 54M 35M 156M 55M
Selected 5M 11M 8M 37M 15M
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3123
[PT N] fluctuations
PT =sumN
i=1 pTi
∆[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ]minus 〈PT 〉ω[N])
Σ[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ] + 〈PT 〉ω[N]minus 2cov(PT N))
Here
ω[PT ] =〈P2
T 〉minus〈PT 〉2〈PT 〉 〈〉 - average over all events
ω[N] = 〈N2〉minus〈N〉2〈N〉
ω[pT ] =p2TminuspT 2
pT middot - average over all particles
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3223
∆Σ[PT N] effect of correctionsp+p vs 7Be+9Be
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
p+p uncorrectedp+p corrected
Be 0-5 uncorrected9Be+7 Be 0-5 corrected9Be+7
Corrections are larger for ∆[PT N] in p+p and for Σ[PT N] in 7Be+9Be
SI fluctuation measures do not change their energy dependence after corrections
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3323
∆Σ[PT N] acceptance dependencep+p
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
p+p full NA61 acc
beamp+p 0ltylty
Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]
Energy dependence trend is the same for full and limited acceptance
Systematic uncertainties for limited acceptance are expected to be ofabout uncertainties for full acceptance
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3423
∆Σ[PT N] acceptance dependencep+p
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
p+p full NA61 acc
beamp+p 0ltylty
Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]
∆[PT N] and Σ[PT N]changes due toacceptance are morepronounced for positivelycharged hadrons
It can be indication ofstronger ∆++ resonancedecay contribution forfull acceptance case
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3523
∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc
Centrality classes from 0minus 1 to 0minus 10
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
30A GeVc
30A GeVc EPOS199
Σ[PT N] is less centrality dependent than ∆[PT N] both in data and inthe EPOS199 model
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3623
∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12+h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
30A GeVc
30A GeVc EPOS199
The EPOS199 modeldescribes better∆[PT N] for negativelycharged hadrons andΣ[PT N] for positivelycharged hadrons
Σ[PT N] is lesscentrality dependentthan ∆[PT N] fornegatively and positivelycharged hadrons
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3723
∆Σ[PT N] energy dependence for 2 centrality classes40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
Corrected 0-5
Corrected 0-1
Σ[PT N] is less centrality dependent than ∆[PT N]
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3823
Centrality dependence
centrality
] - N
T[PΣ
] or
-
NT
[P∆]
or
-[N
ω
1
10
0-5 0-10 0-15 0-20
UrQMD 33 20A GeVneg charged
]-[Nω]- N
T[P∆
]- NT
[PΣ
(a)
centrality
] - N
T[PΣ
] or
-
NT
[P∆]
or
-[N
ω
1
10
0-5 0-10 0-15 0-20
UrQMD 33 20A GeVneg charged
lt 2π
0 lt y
]-[Nω]- N
T[P∆
]- NT
[PΣ
(b)
Figure 5 (Color online) The UrQMD results for the centrality dependence of ω[Nminus] (squares)
∆[PT Nminus] (circles) and Σ[PT Nminus] (triangles) in Pb+Pb collisions at Elab = 20A GeV A centrality
selection is done with a restriction on the impact parameter b (a) The full 4π detector acceptance
(b) Only particles with center of mass rapidity in the interval 1 lt yπ lt 2 are accepted (pion mass was
assumed for all particles) Open symbols correspond to the case when 10 of particles was randomly
rejected
and we call it acceptance losses On the other hand even in this accepted kinematic region we
still may have efficiency losses due to track reconstruction problems (including problems with
ionization energy loss dEdx reconstruction)
The UrQMD results for negatively charged particles in Pb+Pb collisions at Elab = 20A GeV
for the full 4π acceptance and for the particles accepted only in the center of mass rapidity
interval 1 lt yπ lt 2 are shown in Fig 5 (a) and (b) respectively (full symbols) From a
comparison of the results for the full and limited detector acceptance one observes rather strong
effects of acceptance losses for the scaled variance ω[Nminus] The strongly intensive measures
∆[PT Nminus] and Σ[PT Nminus] look again more appropriate The effects of the limited acceptance
are rather moderate for ∆[PT Nminus] and almost absent for Σ[PT Nminus] We also would like to stress
that the acceptance dependence shown in Fig 5 is the example only In general the measured
25
MGorenstein KGrebieszkow PRC 89034903
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3923
∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structures which could be related to CP are visible
Systematic uncertainties are under investigation (first estimates - 2 for 3 low
energies and of about 5 for 2 top energies)
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4023
∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structureswhich could be relatedto CP are visible
∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems
Systematic uncertainties
are under investigation
(first estimates - 2 for 3
low energies and of about
5 for 2 top energies)
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4123
Σ[PT N] system size dependence
Linear fit Parabolic fit
10 210
098
1
102
104
106
108
Graph ndf 2χ 4872 4
p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus
ndf 2χ 4872 4p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus
Graph
10 210
098
1
102
104
106
108
Graph ndf 2χ 3119 3
p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus
ndf 2χ 3119 3p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus
Graph
Gaussian fit
10 210
098
1
102
104
106
108
Graph ndf 2χ 3124 3
Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421
ndf 2χ 3124 3Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421
Graph
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4223
Corrections
Corrections for contamination from off-target interactions for40Ar+45Sc were not applied but with applied vertex positionselection they are expected to be less than 1
MMP WUT (NA61SHINE) Quark Matter 2015 Kobe Japan September 20 2015 19 17
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4323
Obtaining 〈W 〉
Glissando MC is based on Glauber model whereas EPOS utilizesparton ladder model
rdquoin our case the inelastic Nucleon-Nucleon cross-section in anucleus is smaller than the corresponding pp cross-section leadingto less binary collisions than in standard Glauberrdquo
Tanguy Pierog core EPOS developer
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4423
Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons
ent
ries
0
100
200
300
400
500
600
700
N0 100 200
[G
eVc
]T
P
0
20
40
60
Mean x 1047Mean y 3454RMS x 1249RMS y 4695
-+h+hNA61SHINE preliminary
]2c2 [GeVT2P0 20 40
]2G
eV2
) [c
T2
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 17RMS 3164
NA61SHINE preliminary
N PT and PT 2 =sumN
i=1 p2Ti are measured for each event
PT 2 is needed to calculate the scaled variance of the inclusive
pT distribution ω[pT ] =p2TminuspT 2
pTusing only event quantities
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4523
Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons
N PT and PT 2 =sumN
i=1 p2Ti are measured for each event
PT 2 is needed to calculate the scaled variance of the inclusive
pT distribution ω[pT ] =p2TminuspT 2
pTusing only event quantities
N0 100 200
P(N
)
5minus10
4minus10
3minus10
2minus10
Mean 1047RMS 1249
NA61SHINE preliminary
[GeVc]TP0 20 40 60
) [c
GeV
]T
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 3453RMS 4701
NA61SHINE preliminary
[GeVc]TNP0 5000 10000 15000
) [c
GeV
]T
P(N
P
7minus10
6minus10
5minus10
4minus10
Mean 3665RMS 8972
NA61SHINE preliminary
]2c2 [GeVT2P0 20 40
]2G
eV2
) [c
T2
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 17RMS 3164
NA61SHINE preliminary
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
923
∆Σ[PT N] effect of corrections40Ar+45Sc 0-5
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
UncorrectedCorrectedReconstructed EPOS199Pure EPOS199
The correction changes uncorrected data by no more than 10Systematic uncertainties are under investigation (first estimates - 2 for 3 low
energies and of about 5 for 2 top energies)
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1023
∆Σ[PT N] effect of corrections40Ar+45Sc 0-5
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
UncorrectedCorrectedReconstructed EPOS199Pure EPOS199
Systematic uncertaintiesare under investigation(first estimates - 2 for3 low energies and ofabout 5 for 2 topenergies)
Magnitude of correctionsis similar for negativelyand positively chargedhadrons
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1123
Preliminary results
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1223
∆Σ[PT N] energy dependence40Ar+45Sc 0-5 vs EPOS199 0-5
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
NA61SHINE 0-5
EPOS199 0-5
The EPOS199 model overestimates ∆[PT N]
Weak and smooth energy dependence of ∆[PT N] and Σ[PT N] noevidence of anomalies related to CP
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1323
∆Σ[PT N] energy dependence40Ar+45Sc 0-5 vs EPOS199 0-5
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
NA61SHINE 0-5
EPOS199 0-5
Weak and smoothenergy dependence of∆[PT N] and Σ[PT N]no evidence of anomaliesrelated to CP
EPOS describes better∆[PT N] for negativelycharged hadrons andΣ[PT N] for positivelycharged hadrons
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1423
∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structures which could be related to CP are visible
Systematic uncertainties are under investigation (first estimates - 2 for 3 low
energies and of about 5 for 2 top energies)
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1523
∆Σ[PT N] energy vs system size scanp+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[P∆
06
08
1
12
NA61SHINE preliminary
-+h+h
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[PΣ
09
1
11
12
NA61SHINE preliminary
-+h+h
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structures which could be related to CP are visible
Mean number of wounded nucleons 〈W 〉 estimated using the GLISSANDOmodel
Statistical uncertainties are less than 1 for all points and not drawn Systematic
uncertainties are under investigation (first estimates - 2 for 3 low energies and
of about 5 for 2 top energies)
W Broniowski M Rybczynski PRC 81 064909
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1623
∆Σ[PT N] energy vs system size scanp+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[P∆
06
08
1
12
NA61SHINE preliminary
-h
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[PΣ
09
1
11
12
NA61SHINE preliminary
-h
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[P∆
06
08
1
12
NA61SHINE preliminary
+h
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[PΣ
09
1
11
12
NA61SHINE preliminary
+h
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structures which could be related to CP are visible
∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems
1) Bose-Einsteinstatistics of pion gas2) negative M (pT )vs N correlationleads to the sameinequalitiesMGorenstein KGrebieszkow PRC
89034903
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1723
Comparison with Pb+Pb results from NA49
To compare results of pT fluctuations NA49 cuts were applied toNA61SHINE dataIn NA49bull because of high density of tracks analysis was limited toforward-rapidity region (11 lt yπ lt 26)bull to exclude elastically scattered or diffractively produced protonsanalysis was limited in proton rapidity (yp lt ybeam minus 05)bull 0005 lt pT lt 15 GeVcbull common azimuthal acceptance for all energies (only for energydependence analysis)
T Anticic et al (NA49 Collaboration) PRC 92 no4044905
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1823
∆Σ[PT N] energy dependence40Ar+45Sc vs Pb+Pb (NA49 acceptance)
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
Sc 0-5 in NA49 acc45Ar+40
Pb+Pb 0-72 (NA49)
Results for 40Ar+45Sc collisions are very close to Pb+Pb No prominentstructures which could be related to CP are visible
∆[PT N] lt 1 and Σ[PT N] is consistent with 1 for both systemsT Anticic et al (NA49 Collaboration) PRC 92 no4044905
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1923
∆Σ[PT N] energy dependence40Ar+45Sc vs Pb+Pb (NA49 acceptance)
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
Sc 0-5 in NA49 acc45Ar+40
Pb+Pb 0-72 (NA49)
No prominent structureswhich could be relatedto CP are visible
∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems
T Anticic et al (NA49 Collaboration) PRC 92 no4044905
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2023
∆Σ[PT N] system size dependenceNA49 acceptance
rangWlang1 10 210 310
N]
T[P∆
06
08
1
12
14 -+h+h
NA61SHINE preliminary
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -+h+h
NA61SHINE preliminary
150-158A GeVc
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -+h+h
NA61SHINE preliminary
p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)
p+p in NA49 acc
Be+Be in NA49 acc
Ar+Sc 0-5 in NA49 acc
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -+h+h
NA61SHINE preliminary
p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)
p+p in NA49 acc
Be+Be in NA49 acc
Ar+Sc 0-5 in NA49 acc
No prominent structures which could be related to CP are visible
∆[PT N] is more sensitive to centrality selection than Σ[PT N]
T Anticic et al (NA49 Collaboration) PRC 92 no4044905
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2123
∆Σ[PT N] system size dependenceNA49 acceptance
rangWlang1 10 210 310
N]
T[P∆
06
08
1
12
14 -h
NA61SHINE preliminary
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -h
NA61SHINE preliminary
rangWlang1 10 210 310
N]
T[P∆
06
08
1
12
14 +h
NA61SHINE preliminary
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 +h
NA61SHINE preliminary
150-158A GeVc
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -+h+h
NA61SHINE preliminary
p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)
p+p in NA49 acc
Be+Be in NA49 acc
Ar+Sc 0-5 in NA49 acc
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -+h+h
NA61SHINE preliminary
p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)
p+p in NA49 acc
Be+Be in NA49 acc
Ar+Sc 0-5 in NA49 acc
No prominent structureswhich could be relatedto CP are visible
∆[PT N] for less centralcollisions (C+C Si+Si)deviates stronger fromother measurementsthan Σ[PT N]
T Anticic et al (NA49 Collaboration)
PRC 92 no4044905
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2223
Conclusions - 1
bull Preliminary results on PT vs N fluctuations for forward energyselected 40Ar+45Sc collisions with particles produced in strong andEM processes within the NA61SHINE acceptance atradicsNN = 612 762 876 1194 1683 GeV were reported
bull Uncorrected and corrected measurements of strongly intensivequantities ∆[PT N] and Σ[PT N] were shown
bull The results were compared with 1) the NA61SHINE data onp+p and 7Be+9Be collisions 2) the NA49 data on p+p C+CSi+Si and Pb+Pb collisions 3) the predictions of the EPOS199model
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2323
Conclusions - 2
bull No clear indications of CP in strongly intensive PT vs N fluctuationmeasures were observedbull Analyses more sensitive to CP (intermittency higher momentsidentified particle ratio fluctuations etc) of the NA61SHINE are inprogressbull See dedicated NA61SHINE talks on higher moments by MMackowiak-Pawlowska and on intermittency by N Davis on Friday
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[P∆
06
08
1
12
NA61SHINE preliminary
-+h+h
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[PΣ
09
1
11
12
NA61SHINE preliminary
-+h+h
Waiting for p+Pb Xe+La and Pb+Pb
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2423
evgenyandronovcernch
Thank You
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2523
Back-up
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2623
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2723
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2823
LMPD
Four large volume Time Projection Chambers (TPCs) VTPC-1 VTPC-2 (inside superconducting magnets) MTPC-L MTPC-R measurement of dEdx and p Time of Flight (ToF) detector walls
Projectile Spectator Detector (PSD) for centrality measurement (energy of projectile spectators) and determination of reaction plane resolution of 1 nucleon () in the studied energy range (important for fluctuation analysis)
Helium beam pipes inside VTPC-1 and VTPC-2 (to reduce -electrons)
Z-detector (measures ion charge for on-line selection of secondary ions A-detector (measures mass composition of secondary ion beam)
Low Momentum Particle Detector (LMPD) for centrality determination in p+A measures target nucleus spectators
PSD
Large acceptance asymp 50 High momentum resolution σ(p)p2asymp10-4(GeVc)-1 (at full B=9 T∙m) ToF walls resolution ToF-LR σ(t)asymp60 ps ToF-F σ(t)asymp120 ps Good particle identification σ(dEdx)ltdEdxgtasymp004 σ(minv)asymp5 MeV
High detector efficiency gt 95 Event rate 70 eventssec
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2923
Centrality determinationDue to the differences in magnetic field PSD position and Fermimotion for various energies different set of modules is chosen tocalculate the EF
Centrality selection in Ar+Sc collisionsProjectile Spectator Detector
Due to the differences in magnetic field and PSD position for variousenergies different set of modules is chosen to calculate the EF
13 AGeVc 19 AGeVc 30 AGeVc
40 AGeVc 75 AGeVc 150 AGeVc
The module sets are chosen on the basis of corelations between energyand multiplicity for each module
5 1The module sets are chosen on the basis of corelations betweenenergy and multiplicity for each module
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3023
Statistics40Ar+ 45Sc 0minus 5 0 lt yπ lt ybeam
Event stats 19 30 40 75 150
Total 21M 31M 19M 41M 28M
Selected 01M 02M 01M 05M 01M
Track stats 19 30 40 75 150
Total 22M 54M 35M 156M 55M
Selected 5M 11M 8M 37M 15M
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3123
[PT N] fluctuations
PT =sumN
i=1 pTi
∆[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ]minus 〈PT 〉ω[N])
Σ[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ] + 〈PT 〉ω[N]minus 2cov(PT N))
Here
ω[PT ] =〈P2
T 〉minus〈PT 〉2〈PT 〉 〈〉 - average over all events
ω[N] = 〈N2〉minus〈N〉2〈N〉
ω[pT ] =p2TminuspT 2
pT middot - average over all particles
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3223
∆Σ[PT N] effect of correctionsp+p vs 7Be+9Be
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
p+p uncorrectedp+p corrected
Be 0-5 uncorrected9Be+7 Be 0-5 corrected9Be+7
Corrections are larger for ∆[PT N] in p+p and for Σ[PT N] in 7Be+9Be
SI fluctuation measures do not change their energy dependence after corrections
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3323
∆Σ[PT N] acceptance dependencep+p
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
p+p full NA61 acc
beamp+p 0ltylty
Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]
Energy dependence trend is the same for full and limited acceptance
Systematic uncertainties for limited acceptance are expected to be ofabout uncertainties for full acceptance
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3423
∆Σ[PT N] acceptance dependencep+p
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
p+p full NA61 acc
beamp+p 0ltylty
Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]
∆[PT N] and Σ[PT N]changes due toacceptance are morepronounced for positivelycharged hadrons
It can be indication ofstronger ∆++ resonancedecay contribution forfull acceptance case
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3523
∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc
Centrality classes from 0minus 1 to 0minus 10
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
30A GeVc
30A GeVc EPOS199
Σ[PT N] is less centrality dependent than ∆[PT N] both in data and inthe EPOS199 model
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3623
∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12+h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
30A GeVc
30A GeVc EPOS199
The EPOS199 modeldescribes better∆[PT N] for negativelycharged hadrons andΣ[PT N] for positivelycharged hadrons
Σ[PT N] is lesscentrality dependentthan ∆[PT N] fornegatively and positivelycharged hadrons
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3723
∆Σ[PT N] energy dependence for 2 centrality classes40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
Corrected 0-5
Corrected 0-1
Σ[PT N] is less centrality dependent than ∆[PT N]
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3823
Centrality dependence
centrality
] - N
T[PΣ
] or
-
NT
[P∆]
or
-[N
ω
1
10
0-5 0-10 0-15 0-20
UrQMD 33 20A GeVneg charged
]-[Nω]- N
T[P∆
]- NT
[PΣ
(a)
centrality
] - N
T[PΣ
] or
-
NT
[P∆]
or
-[N
ω
1
10
0-5 0-10 0-15 0-20
UrQMD 33 20A GeVneg charged
lt 2π
0 lt y
]-[Nω]- N
T[P∆
]- NT
[PΣ
(b)
Figure 5 (Color online) The UrQMD results for the centrality dependence of ω[Nminus] (squares)
∆[PT Nminus] (circles) and Σ[PT Nminus] (triangles) in Pb+Pb collisions at Elab = 20A GeV A centrality
selection is done with a restriction on the impact parameter b (a) The full 4π detector acceptance
(b) Only particles with center of mass rapidity in the interval 1 lt yπ lt 2 are accepted (pion mass was
assumed for all particles) Open symbols correspond to the case when 10 of particles was randomly
rejected
and we call it acceptance losses On the other hand even in this accepted kinematic region we
still may have efficiency losses due to track reconstruction problems (including problems with
ionization energy loss dEdx reconstruction)
The UrQMD results for negatively charged particles in Pb+Pb collisions at Elab = 20A GeV
for the full 4π acceptance and for the particles accepted only in the center of mass rapidity
interval 1 lt yπ lt 2 are shown in Fig 5 (a) and (b) respectively (full symbols) From a
comparison of the results for the full and limited detector acceptance one observes rather strong
effects of acceptance losses for the scaled variance ω[Nminus] The strongly intensive measures
∆[PT Nminus] and Σ[PT Nminus] look again more appropriate The effects of the limited acceptance
are rather moderate for ∆[PT Nminus] and almost absent for Σ[PT Nminus] We also would like to stress
that the acceptance dependence shown in Fig 5 is the example only In general the measured
25
MGorenstein KGrebieszkow PRC 89034903
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3923
∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structures which could be related to CP are visible
Systematic uncertainties are under investigation (first estimates - 2 for 3 low
energies and of about 5 for 2 top energies)
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4023
∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structureswhich could be relatedto CP are visible
∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems
Systematic uncertainties
are under investigation
(first estimates - 2 for 3
low energies and of about
5 for 2 top energies)
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4123
Σ[PT N] system size dependence
Linear fit Parabolic fit
10 210
098
1
102
104
106
108
Graph ndf 2χ 4872 4
p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus
ndf 2χ 4872 4p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus
Graph
10 210
098
1
102
104
106
108
Graph ndf 2χ 3119 3
p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus
ndf 2χ 3119 3p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus
Graph
Gaussian fit
10 210
098
1
102
104
106
108
Graph ndf 2χ 3124 3
Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421
ndf 2χ 3124 3Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421
Graph
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4223
Corrections
Corrections for contamination from off-target interactions for40Ar+45Sc were not applied but with applied vertex positionselection they are expected to be less than 1
MMP WUT (NA61SHINE) Quark Matter 2015 Kobe Japan September 20 2015 19 17
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4323
Obtaining 〈W 〉
Glissando MC is based on Glauber model whereas EPOS utilizesparton ladder model
rdquoin our case the inelastic Nucleon-Nucleon cross-section in anucleus is smaller than the corresponding pp cross-section leadingto less binary collisions than in standard Glauberrdquo
Tanguy Pierog core EPOS developer
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4423
Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons
ent
ries
0
100
200
300
400
500
600
700
N0 100 200
[G
eVc
]T
P
0
20
40
60
Mean x 1047Mean y 3454RMS x 1249RMS y 4695
-+h+hNA61SHINE preliminary
]2c2 [GeVT2P0 20 40
]2G
eV2
) [c
T2
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 17RMS 3164
NA61SHINE preliminary
N PT and PT 2 =sumN
i=1 p2Ti are measured for each event
PT 2 is needed to calculate the scaled variance of the inclusive
pT distribution ω[pT ] =p2TminuspT 2
pTusing only event quantities
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4523
Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons
N PT and PT 2 =sumN
i=1 p2Ti are measured for each event
PT 2 is needed to calculate the scaled variance of the inclusive
pT distribution ω[pT ] =p2TminuspT 2
pTusing only event quantities
N0 100 200
P(N
)
5minus10
4minus10
3minus10
2minus10
Mean 1047RMS 1249
NA61SHINE preliminary
[GeVc]TP0 20 40 60
) [c
GeV
]T
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 3453RMS 4701
NA61SHINE preliminary
[GeVc]TNP0 5000 10000 15000
) [c
GeV
]T
P(N
P
7minus10
6minus10
5minus10
4minus10
Mean 3665RMS 8972
NA61SHINE preliminary
]2c2 [GeVT2P0 20 40
]2G
eV2
) [c
T2
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 17RMS 3164
NA61SHINE preliminary
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1023
∆Σ[PT N] effect of corrections40Ar+45Sc 0-5
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
UncorrectedCorrectedReconstructed EPOS199Pure EPOS199
Systematic uncertaintiesare under investigation(first estimates - 2 for3 low energies and ofabout 5 for 2 topenergies)
Magnitude of correctionsis similar for negativelyand positively chargedhadrons
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1123
Preliminary results
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1223
∆Σ[PT N] energy dependence40Ar+45Sc 0-5 vs EPOS199 0-5
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
NA61SHINE 0-5
EPOS199 0-5
The EPOS199 model overestimates ∆[PT N]
Weak and smooth energy dependence of ∆[PT N] and Σ[PT N] noevidence of anomalies related to CP
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1323
∆Σ[PT N] energy dependence40Ar+45Sc 0-5 vs EPOS199 0-5
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
NA61SHINE 0-5
EPOS199 0-5
Weak and smoothenergy dependence of∆[PT N] and Σ[PT N]no evidence of anomaliesrelated to CP
EPOS describes better∆[PT N] for negativelycharged hadrons andΣ[PT N] for positivelycharged hadrons
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1423
∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structures which could be related to CP are visible
Systematic uncertainties are under investigation (first estimates - 2 for 3 low
energies and of about 5 for 2 top energies)
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1523
∆Σ[PT N] energy vs system size scanp+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[P∆
06
08
1
12
NA61SHINE preliminary
-+h+h
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[PΣ
09
1
11
12
NA61SHINE preliminary
-+h+h
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structures which could be related to CP are visible
Mean number of wounded nucleons 〈W 〉 estimated using the GLISSANDOmodel
Statistical uncertainties are less than 1 for all points and not drawn Systematic
uncertainties are under investigation (first estimates - 2 for 3 low energies and
of about 5 for 2 top energies)
W Broniowski M Rybczynski PRC 81 064909
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1623
∆Σ[PT N] energy vs system size scanp+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[P∆
06
08
1
12
NA61SHINE preliminary
-h
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[PΣ
09
1
11
12
NA61SHINE preliminary
-h
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[P∆
06
08
1
12
NA61SHINE preliminary
+h
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[PΣ
09
1
11
12
NA61SHINE preliminary
+h
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structures which could be related to CP are visible
∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems
1) Bose-Einsteinstatistics of pion gas2) negative M (pT )vs N correlationleads to the sameinequalitiesMGorenstein KGrebieszkow PRC
89034903
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1723
Comparison with Pb+Pb results from NA49
To compare results of pT fluctuations NA49 cuts were applied toNA61SHINE dataIn NA49bull because of high density of tracks analysis was limited toforward-rapidity region (11 lt yπ lt 26)bull to exclude elastically scattered or diffractively produced protonsanalysis was limited in proton rapidity (yp lt ybeam minus 05)bull 0005 lt pT lt 15 GeVcbull common azimuthal acceptance for all energies (only for energydependence analysis)
T Anticic et al (NA49 Collaboration) PRC 92 no4044905
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1823
∆Σ[PT N] energy dependence40Ar+45Sc vs Pb+Pb (NA49 acceptance)
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
Sc 0-5 in NA49 acc45Ar+40
Pb+Pb 0-72 (NA49)
Results for 40Ar+45Sc collisions are very close to Pb+Pb No prominentstructures which could be related to CP are visible
∆[PT N] lt 1 and Σ[PT N] is consistent with 1 for both systemsT Anticic et al (NA49 Collaboration) PRC 92 no4044905
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1923
∆Σ[PT N] energy dependence40Ar+45Sc vs Pb+Pb (NA49 acceptance)
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
Sc 0-5 in NA49 acc45Ar+40
Pb+Pb 0-72 (NA49)
No prominent structureswhich could be relatedto CP are visible
∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems
T Anticic et al (NA49 Collaboration) PRC 92 no4044905
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2023
∆Σ[PT N] system size dependenceNA49 acceptance
rangWlang1 10 210 310
N]
T[P∆
06
08
1
12
14 -+h+h
NA61SHINE preliminary
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -+h+h
NA61SHINE preliminary
150-158A GeVc
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -+h+h
NA61SHINE preliminary
p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)
p+p in NA49 acc
Be+Be in NA49 acc
Ar+Sc 0-5 in NA49 acc
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -+h+h
NA61SHINE preliminary
p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)
p+p in NA49 acc
Be+Be in NA49 acc
Ar+Sc 0-5 in NA49 acc
No prominent structures which could be related to CP are visible
∆[PT N] is more sensitive to centrality selection than Σ[PT N]
T Anticic et al (NA49 Collaboration) PRC 92 no4044905
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2123
∆Σ[PT N] system size dependenceNA49 acceptance
rangWlang1 10 210 310
N]
T[P∆
06
08
1
12
14 -h
NA61SHINE preliminary
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -h
NA61SHINE preliminary
rangWlang1 10 210 310
N]
T[P∆
06
08
1
12
14 +h
NA61SHINE preliminary
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 +h
NA61SHINE preliminary
150-158A GeVc
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -+h+h
NA61SHINE preliminary
p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)
p+p in NA49 acc
Be+Be in NA49 acc
Ar+Sc 0-5 in NA49 acc
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -+h+h
NA61SHINE preliminary
p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)
p+p in NA49 acc
Be+Be in NA49 acc
Ar+Sc 0-5 in NA49 acc
No prominent structureswhich could be relatedto CP are visible
∆[PT N] for less centralcollisions (C+C Si+Si)deviates stronger fromother measurementsthan Σ[PT N]
T Anticic et al (NA49 Collaboration)
PRC 92 no4044905
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2223
Conclusions - 1
bull Preliminary results on PT vs N fluctuations for forward energyselected 40Ar+45Sc collisions with particles produced in strong andEM processes within the NA61SHINE acceptance atradicsNN = 612 762 876 1194 1683 GeV were reported
bull Uncorrected and corrected measurements of strongly intensivequantities ∆[PT N] and Σ[PT N] were shown
bull The results were compared with 1) the NA61SHINE data onp+p and 7Be+9Be collisions 2) the NA49 data on p+p C+CSi+Si and Pb+Pb collisions 3) the predictions of the EPOS199model
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2323
Conclusions - 2
bull No clear indications of CP in strongly intensive PT vs N fluctuationmeasures were observedbull Analyses more sensitive to CP (intermittency higher momentsidentified particle ratio fluctuations etc) of the NA61SHINE are inprogressbull See dedicated NA61SHINE talks on higher moments by MMackowiak-Pawlowska and on intermittency by N Davis on Friday
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[P∆
06
08
1
12
NA61SHINE preliminary
-+h+h
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[PΣ
09
1
11
12
NA61SHINE preliminary
-+h+h
Waiting for p+Pb Xe+La and Pb+Pb
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2423
evgenyandronovcernch
Thank You
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2523
Back-up
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2623
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2723
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2823
LMPD
Four large volume Time Projection Chambers (TPCs) VTPC-1 VTPC-2 (inside superconducting magnets) MTPC-L MTPC-R measurement of dEdx and p Time of Flight (ToF) detector walls
Projectile Spectator Detector (PSD) for centrality measurement (energy of projectile spectators) and determination of reaction plane resolution of 1 nucleon () in the studied energy range (important for fluctuation analysis)
Helium beam pipes inside VTPC-1 and VTPC-2 (to reduce -electrons)
Z-detector (measures ion charge for on-line selection of secondary ions A-detector (measures mass composition of secondary ion beam)
Low Momentum Particle Detector (LMPD) for centrality determination in p+A measures target nucleus spectators
PSD
Large acceptance asymp 50 High momentum resolution σ(p)p2asymp10-4(GeVc)-1 (at full B=9 T∙m) ToF walls resolution ToF-LR σ(t)asymp60 ps ToF-F σ(t)asymp120 ps Good particle identification σ(dEdx)ltdEdxgtasymp004 σ(minv)asymp5 MeV
High detector efficiency gt 95 Event rate 70 eventssec
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2923
Centrality determinationDue to the differences in magnetic field PSD position and Fermimotion for various energies different set of modules is chosen tocalculate the EF
Centrality selection in Ar+Sc collisionsProjectile Spectator Detector
Due to the differences in magnetic field and PSD position for variousenergies different set of modules is chosen to calculate the EF
13 AGeVc 19 AGeVc 30 AGeVc
40 AGeVc 75 AGeVc 150 AGeVc
The module sets are chosen on the basis of corelations between energyand multiplicity for each module
5 1The module sets are chosen on the basis of corelations betweenenergy and multiplicity for each module
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3023
Statistics40Ar+ 45Sc 0minus 5 0 lt yπ lt ybeam
Event stats 19 30 40 75 150
Total 21M 31M 19M 41M 28M
Selected 01M 02M 01M 05M 01M
Track stats 19 30 40 75 150
Total 22M 54M 35M 156M 55M
Selected 5M 11M 8M 37M 15M
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3123
[PT N] fluctuations
PT =sumN
i=1 pTi
∆[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ]minus 〈PT 〉ω[N])
Σ[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ] + 〈PT 〉ω[N]minus 2cov(PT N))
Here
ω[PT ] =〈P2
T 〉minus〈PT 〉2〈PT 〉 〈〉 - average over all events
ω[N] = 〈N2〉minus〈N〉2〈N〉
ω[pT ] =p2TminuspT 2
pT middot - average over all particles
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3223
∆Σ[PT N] effect of correctionsp+p vs 7Be+9Be
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
p+p uncorrectedp+p corrected
Be 0-5 uncorrected9Be+7 Be 0-5 corrected9Be+7
Corrections are larger for ∆[PT N] in p+p and for Σ[PT N] in 7Be+9Be
SI fluctuation measures do not change their energy dependence after corrections
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3323
∆Σ[PT N] acceptance dependencep+p
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
p+p full NA61 acc
beamp+p 0ltylty
Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]
Energy dependence trend is the same for full and limited acceptance
Systematic uncertainties for limited acceptance are expected to be ofabout uncertainties for full acceptance
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3423
∆Σ[PT N] acceptance dependencep+p
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
p+p full NA61 acc
beamp+p 0ltylty
Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]
∆[PT N] and Σ[PT N]changes due toacceptance are morepronounced for positivelycharged hadrons
It can be indication ofstronger ∆++ resonancedecay contribution forfull acceptance case
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3523
∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc
Centrality classes from 0minus 1 to 0minus 10
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
30A GeVc
30A GeVc EPOS199
Σ[PT N] is less centrality dependent than ∆[PT N] both in data and inthe EPOS199 model
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3623
∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12+h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
30A GeVc
30A GeVc EPOS199
The EPOS199 modeldescribes better∆[PT N] for negativelycharged hadrons andΣ[PT N] for positivelycharged hadrons
Σ[PT N] is lesscentrality dependentthan ∆[PT N] fornegatively and positivelycharged hadrons
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3723
∆Σ[PT N] energy dependence for 2 centrality classes40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
Corrected 0-5
Corrected 0-1
Σ[PT N] is less centrality dependent than ∆[PT N]
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3823
Centrality dependence
centrality
] - N
T[PΣ
] or
-
NT
[P∆]
or
-[N
ω
1
10
0-5 0-10 0-15 0-20
UrQMD 33 20A GeVneg charged
]-[Nω]- N
T[P∆
]- NT
[PΣ
(a)
centrality
] - N
T[PΣ
] or
-
NT
[P∆]
or
-[N
ω
1
10
0-5 0-10 0-15 0-20
UrQMD 33 20A GeVneg charged
lt 2π
0 lt y
]-[Nω]- N
T[P∆
]- NT
[PΣ
(b)
Figure 5 (Color online) The UrQMD results for the centrality dependence of ω[Nminus] (squares)
∆[PT Nminus] (circles) and Σ[PT Nminus] (triangles) in Pb+Pb collisions at Elab = 20A GeV A centrality
selection is done with a restriction on the impact parameter b (a) The full 4π detector acceptance
(b) Only particles with center of mass rapidity in the interval 1 lt yπ lt 2 are accepted (pion mass was
assumed for all particles) Open symbols correspond to the case when 10 of particles was randomly
rejected
and we call it acceptance losses On the other hand even in this accepted kinematic region we
still may have efficiency losses due to track reconstruction problems (including problems with
ionization energy loss dEdx reconstruction)
The UrQMD results for negatively charged particles in Pb+Pb collisions at Elab = 20A GeV
for the full 4π acceptance and for the particles accepted only in the center of mass rapidity
interval 1 lt yπ lt 2 are shown in Fig 5 (a) and (b) respectively (full symbols) From a
comparison of the results for the full and limited detector acceptance one observes rather strong
effects of acceptance losses for the scaled variance ω[Nminus] The strongly intensive measures
∆[PT Nminus] and Σ[PT Nminus] look again more appropriate The effects of the limited acceptance
are rather moderate for ∆[PT Nminus] and almost absent for Σ[PT Nminus] We also would like to stress
that the acceptance dependence shown in Fig 5 is the example only In general the measured
25
MGorenstein KGrebieszkow PRC 89034903
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3923
∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structures which could be related to CP are visible
Systematic uncertainties are under investigation (first estimates - 2 for 3 low
energies and of about 5 for 2 top energies)
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4023
∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structureswhich could be relatedto CP are visible
∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems
Systematic uncertainties
are under investigation
(first estimates - 2 for 3
low energies and of about
5 for 2 top energies)
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4123
Σ[PT N] system size dependence
Linear fit Parabolic fit
10 210
098
1
102
104
106
108
Graph ndf 2χ 4872 4
p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus
ndf 2χ 4872 4p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus
Graph
10 210
098
1
102
104
106
108
Graph ndf 2χ 3119 3
p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus
ndf 2χ 3119 3p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus
Graph
Gaussian fit
10 210
098
1
102
104
106
108
Graph ndf 2χ 3124 3
Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421
ndf 2χ 3124 3Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421
Graph
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4223
Corrections
Corrections for contamination from off-target interactions for40Ar+45Sc were not applied but with applied vertex positionselection they are expected to be less than 1
MMP WUT (NA61SHINE) Quark Matter 2015 Kobe Japan September 20 2015 19 17
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4323
Obtaining 〈W 〉
Glissando MC is based on Glauber model whereas EPOS utilizesparton ladder model
rdquoin our case the inelastic Nucleon-Nucleon cross-section in anucleus is smaller than the corresponding pp cross-section leadingto less binary collisions than in standard Glauberrdquo
Tanguy Pierog core EPOS developer
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4423
Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons
ent
ries
0
100
200
300
400
500
600
700
N0 100 200
[G
eVc
]T
P
0
20
40
60
Mean x 1047Mean y 3454RMS x 1249RMS y 4695
-+h+hNA61SHINE preliminary
]2c2 [GeVT2P0 20 40
]2G
eV2
) [c
T2
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 17RMS 3164
NA61SHINE preliminary
N PT and PT 2 =sumN
i=1 p2Ti are measured for each event
PT 2 is needed to calculate the scaled variance of the inclusive
pT distribution ω[pT ] =p2TminuspT 2
pTusing only event quantities
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4523
Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons
N PT and PT 2 =sumN
i=1 p2Ti are measured for each event
PT 2 is needed to calculate the scaled variance of the inclusive
pT distribution ω[pT ] =p2TminuspT 2
pTusing only event quantities
N0 100 200
P(N
)
5minus10
4minus10
3minus10
2minus10
Mean 1047RMS 1249
NA61SHINE preliminary
[GeVc]TP0 20 40 60
) [c
GeV
]T
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 3453RMS 4701
NA61SHINE preliminary
[GeVc]TNP0 5000 10000 15000
) [c
GeV
]T
P(N
P
7minus10
6minus10
5minus10
4minus10
Mean 3665RMS 8972
NA61SHINE preliminary
]2c2 [GeVT2P0 20 40
]2G
eV2
) [c
T2
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 17RMS 3164
NA61SHINE preliminary
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1123
Preliminary results
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1223
∆Σ[PT N] energy dependence40Ar+45Sc 0-5 vs EPOS199 0-5
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
NA61SHINE 0-5
EPOS199 0-5
The EPOS199 model overestimates ∆[PT N]
Weak and smooth energy dependence of ∆[PT N] and Σ[PT N] noevidence of anomalies related to CP
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1323
∆Σ[PT N] energy dependence40Ar+45Sc 0-5 vs EPOS199 0-5
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
NA61SHINE 0-5
EPOS199 0-5
Weak and smoothenergy dependence of∆[PT N] and Σ[PT N]no evidence of anomaliesrelated to CP
EPOS describes better∆[PT N] for negativelycharged hadrons andΣ[PT N] for positivelycharged hadrons
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1423
∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structures which could be related to CP are visible
Systematic uncertainties are under investigation (first estimates - 2 for 3 low
energies and of about 5 for 2 top energies)
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1523
∆Σ[PT N] energy vs system size scanp+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[P∆
06
08
1
12
NA61SHINE preliminary
-+h+h
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[PΣ
09
1
11
12
NA61SHINE preliminary
-+h+h
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structures which could be related to CP are visible
Mean number of wounded nucleons 〈W 〉 estimated using the GLISSANDOmodel
Statistical uncertainties are less than 1 for all points and not drawn Systematic
uncertainties are under investigation (first estimates - 2 for 3 low energies and
of about 5 for 2 top energies)
W Broniowski M Rybczynski PRC 81 064909
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1623
∆Σ[PT N] energy vs system size scanp+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[P∆
06
08
1
12
NA61SHINE preliminary
-h
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[PΣ
09
1
11
12
NA61SHINE preliminary
-h
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[P∆
06
08
1
12
NA61SHINE preliminary
+h
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[PΣ
09
1
11
12
NA61SHINE preliminary
+h
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structures which could be related to CP are visible
∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems
1) Bose-Einsteinstatistics of pion gas2) negative M (pT )vs N correlationleads to the sameinequalitiesMGorenstein KGrebieszkow PRC
89034903
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1723
Comparison with Pb+Pb results from NA49
To compare results of pT fluctuations NA49 cuts were applied toNA61SHINE dataIn NA49bull because of high density of tracks analysis was limited toforward-rapidity region (11 lt yπ lt 26)bull to exclude elastically scattered or diffractively produced protonsanalysis was limited in proton rapidity (yp lt ybeam minus 05)bull 0005 lt pT lt 15 GeVcbull common azimuthal acceptance for all energies (only for energydependence analysis)
T Anticic et al (NA49 Collaboration) PRC 92 no4044905
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1823
∆Σ[PT N] energy dependence40Ar+45Sc vs Pb+Pb (NA49 acceptance)
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
Sc 0-5 in NA49 acc45Ar+40
Pb+Pb 0-72 (NA49)
Results for 40Ar+45Sc collisions are very close to Pb+Pb No prominentstructures which could be related to CP are visible
∆[PT N] lt 1 and Σ[PT N] is consistent with 1 for both systemsT Anticic et al (NA49 Collaboration) PRC 92 no4044905
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1923
∆Σ[PT N] energy dependence40Ar+45Sc vs Pb+Pb (NA49 acceptance)
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
Sc 0-5 in NA49 acc45Ar+40
Pb+Pb 0-72 (NA49)
No prominent structureswhich could be relatedto CP are visible
∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems
T Anticic et al (NA49 Collaboration) PRC 92 no4044905
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2023
∆Σ[PT N] system size dependenceNA49 acceptance
rangWlang1 10 210 310
N]
T[P∆
06
08
1
12
14 -+h+h
NA61SHINE preliminary
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -+h+h
NA61SHINE preliminary
150-158A GeVc
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -+h+h
NA61SHINE preliminary
p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)
p+p in NA49 acc
Be+Be in NA49 acc
Ar+Sc 0-5 in NA49 acc
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -+h+h
NA61SHINE preliminary
p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)
p+p in NA49 acc
Be+Be in NA49 acc
Ar+Sc 0-5 in NA49 acc
No prominent structures which could be related to CP are visible
∆[PT N] is more sensitive to centrality selection than Σ[PT N]
T Anticic et al (NA49 Collaboration) PRC 92 no4044905
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2123
∆Σ[PT N] system size dependenceNA49 acceptance
rangWlang1 10 210 310
N]
T[P∆
06
08
1
12
14 -h
NA61SHINE preliminary
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -h
NA61SHINE preliminary
rangWlang1 10 210 310
N]
T[P∆
06
08
1
12
14 +h
NA61SHINE preliminary
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 +h
NA61SHINE preliminary
150-158A GeVc
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -+h+h
NA61SHINE preliminary
p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)
p+p in NA49 acc
Be+Be in NA49 acc
Ar+Sc 0-5 in NA49 acc
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -+h+h
NA61SHINE preliminary
p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)
p+p in NA49 acc
Be+Be in NA49 acc
Ar+Sc 0-5 in NA49 acc
No prominent structureswhich could be relatedto CP are visible
∆[PT N] for less centralcollisions (C+C Si+Si)deviates stronger fromother measurementsthan Σ[PT N]
T Anticic et al (NA49 Collaboration)
PRC 92 no4044905
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2223
Conclusions - 1
bull Preliminary results on PT vs N fluctuations for forward energyselected 40Ar+45Sc collisions with particles produced in strong andEM processes within the NA61SHINE acceptance atradicsNN = 612 762 876 1194 1683 GeV were reported
bull Uncorrected and corrected measurements of strongly intensivequantities ∆[PT N] and Σ[PT N] were shown
bull The results were compared with 1) the NA61SHINE data onp+p and 7Be+9Be collisions 2) the NA49 data on p+p C+CSi+Si and Pb+Pb collisions 3) the predictions of the EPOS199model
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2323
Conclusions - 2
bull No clear indications of CP in strongly intensive PT vs N fluctuationmeasures were observedbull Analyses more sensitive to CP (intermittency higher momentsidentified particle ratio fluctuations etc) of the NA61SHINE are inprogressbull See dedicated NA61SHINE talks on higher moments by MMackowiak-Pawlowska and on intermittency by N Davis on Friday
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[P∆
06
08
1
12
NA61SHINE preliminary
-+h+h
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[PΣ
09
1
11
12
NA61SHINE preliminary
-+h+h
Waiting for p+Pb Xe+La and Pb+Pb
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2423
evgenyandronovcernch
Thank You
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2523
Back-up
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2623
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2723
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2823
LMPD
Four large volume Time Projection Chambers (TPCs) VTPC-1 VTPC-2 (inside superconducting magnets) MTPC-L MTPC-R measurement of dEdx and p Time of Flight (ToF) detector walls
Projectile Spectator Detector (PSD) for centrality measurement (energy of projectile spectators) and determination of reaction plane resolution of 1 nucleon () in the studied energy range (important for fluctuation analysis)
Helium beam pipes inside VTPC-1 and VTPC-2 (to reduce -electrons)
Z-detector (measures ion charge for on-line selection of secondary ions A-detector (measures mass composition of secondary ion beam)
Low Momentum Particle Detector (LMPD) for centrality determination in p+A measures target nucleus spectators
PSD
Large acceptance asymp 50 High momentum resolution σ(p)p2asymp10-4(GeVc)-1 (at full B=9 T∙m) ToF walls resolution ToF-LR σ(t)asymp60 ps ToF-F σ(t)asymp120 ps Good particle identification σ(dEdx)ltdEdxgtasymp004 σ(minv)asymp5 MeV
High detector efficiency gt 95 Event rate 70 eventssec
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2923
Centrality determinationDue to the differences in magnetic field PSD position and Fermimotion for various energies different set of modules is chosen tocalculate the EF
Centrality selection in Ar+Sc collisionsProjectile Spectator Detector
Due to the differences in magnetic field and PSD position for variousenergies different set of modules is chosen to calculate the EF
13 AGeVc 19 AGeVc 30 AGeVc
40 AGeVc 75 AGeVc 150 AGeVc
The module sets are chosen on the basis of corelations between energyand multiplicity for each module
5 1The module sets are chosen on the basis of corelations betweenenergy and multiplicity for each module
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3023
Statistics40Ar+ 45Sc 0minus 5 0 lt yπ lt ybeam
Event stats 19 30 40 75 150
Total 21M 31M 19M 41M 28M
Selected 01M 02M 01M 05M 01M
Track stats 19 30 40 75 150
Total 22M 54M 35M 156M 55M
Selected 5M 11M 8M 37M 15M
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3123
[PT N] fluctuations
PT =sumN
i=1 pTi
∆[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ]minus 〈PT 〉ω[N])
Σ[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ] + 〈PT 〉ω[N]minus 2cov(PT N))
Here
ω[PT ] =〈P2
T 〉minus〈PT 〉2〈PT 〉 〈〉 - average over all events
ω[N] = 〈N2〉minus〈N〉2〈N〉
ω[pT ] =p2TminuspT 2
pT middot - average over all particles
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3223
∆Σ[PT N] effect of correctionsp+p vs 7Be+9Be
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
p+p uncorrectedp+p corrected
Be 0-5 uncorrected9Be+7 Be 0-5 corrected9Be+7
Corrections are larger for ∆[PT N] in p+p and for Σ[PT N] in 7Be+9Be
SI fluctuation measures do not change their energy dependence after corrections
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3323
∆Σ[PT N] acceptance dependencep+p
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
p+p full NA61 acc
beamp+p 0ltylty
Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]
Energy dependence trend is the same for full and limited acceptance
Systematic uncertainties for limited acceptance are expected to be ofabout uncertainties for full acceptance
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3423
∆Σ[PT N] acceptance dependencep+p
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
p+p full NA61 acc
beamp+p 0ltylty
Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]
∆[PT N] and Σ[PT N]changes due toacceptance are morepronounced for positivelycharged hadrons
It can be indication ofstronger ∆++ resonancedecay contribution forfull acceptance case
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3523
∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc
Centrality classes from 0minus 1 to 0minus 10
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
30A GeVc
30A GeVc EPOS199
Σ[PT N] is less centrality dependent than ∆[PT N] both in data and inthe EPOS199 model
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3623
∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12+h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
30A GeVc
30A GeVc EPOS199
The EPOS199 modeldescribes better∆[PT N] for negativelycharged hadrons andΣ[PT N] for positivelycharged hadrons
Σ[PT N] is lesscentrality dependentthan ∆[PT N] fornegatively and positivelycharged hadrons
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3723
∆Σ[PT N] energy dependence for 2 centrality classes40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
Corrected 0-5
Corrected 0-1
Σ[PT N] is less centrality dependent than ∆[PT N]
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3823
Centrality dependence
centrality
] - N
T[PΣ
] or
-
NT
[P∆]
or
-[N
ω
1
10
0-5 0-10 0-15 0-20
UrQMD 33 20A GeVneg charged
]-[Nω]- N
T[P∆
]- NT
[PΣ
(a)
centrality
] - N
T[PΣ
] or
-
NT
[P∆]
or
-[N
ω
1
10
0-5 0-10 0-15 0-20
UrQMD 33 20A GeVneg charged
lt 2π
0 lt y
]-[Nω]- N
T[P∆
]- NT
[PΣ
(b)
Figure 5 (Color online) The UrQMD results for the centrality dependence of ω[Nminus] (squares)
∆[PT Nminus] (circles) and Σ[PT Nminus] (triangles) in Pb+Pb collisions at Elab = 20A GeV A centrality
selection is done with a restriction on the impact parameter b (a) The full 4π detector acceptance
(b) Only particles with center of mass rapidity in the interval 1 lt yπ lt 2 are accepted (pion mass was
assumed for all particles) Open symbols correspond to the case when 10 of particles was randomly
rejected
and we call it acceptance losses On the other hand even in this accepted kinematic region we
still may have efficiency losses due to track reconstruction problems (including problems with
ionization energy loss dEdx reconstruction)
The UrQMD results for negatively charged particles in Pb+Pb collisions at Elab = 20A GeV
for the full 4π acceptance and for the particles accepted only in the center of mass rapidity
interval 1 lt yπ lt 2 are shown in Fig 5 (a) and (b) respectively (full symbols) From a
comparison of the results for the full and limited detector acceptance one observes rather strong
effects of acceptance losses for the scaled variance ω[Nminus] The strongly intensive measures
∆[PT Nminus] and Σ[PT Nminus] look again more appropriate The effects of the limited acceptance
are rather moderate for ∆[PT Nminus] and almost absent for Σ[PT Nminus] We also would like to stress
that the acceptance dependence shown in Fig 5 is the example only In general the measured
25
MGorenstein KGrebieszkow PRC 89034903
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3923
∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structures which could be related to CP are visible
Systematic uncertainties are under investigation (first estimates - 2 for 3 low
energies and of about 5 for 2 top energies)
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4023
∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structureswhich could be relatedto CP are visible
∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems
Systematic uncertainties
are under investigation
(first estimates - 2 for 3
low energies and of about
5 for 2 top energies)
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4123
Σ[PT N] system size dependence
Linear fit Parabolic fit
10 210
098
1
102
104
106
108
Graph ndf 2χ 4872 4
p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus
ndf 2χ 4872 4p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus
Graph
10 210
098
1
102
104
106
108
Graph ndf 2χ 3119 3
p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus
ndf 2χ 3119 3p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus
Graph
Gaussian fit
10 210
098
1
102
104
106
108
Graph ndf 2χ 3124 3
Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421
ndf 2χ 3124 3Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421
Graph
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4223
Corrections
Corrections for contamination from off-target interactions for40Ar+45Sc were not applied but with applied vertex positionselection they are expected to be less than 1
MMP WUT (NA61SHINE) Quark Matter 2015 Kobe Japan September 20 2015 19 17
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4323
Obtaining 〈W 〉
Glissando MC is based on Glauber model whereas EPOS utilizesparton ladder model
rdquoin our case the inelastic Nucleon-Nucleon cross-section in anucleus is smaller than the corresponding pp cross-section leadingto less binary collisions than in standard Glauberrdquo
Tanguy Pierog core EPOS developer
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4423
Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons
ent
ries
0
100
200
300
400
500
600
700
N0 100 200
[G
eVc
]T
P
0
20
40
60
Mean x 1047Mean y 3454RMS x 1249RMS y 4695
-+h+hNA61SHINE preliminary
]2c2 [GeVT2P0 20 40
]2G
eV2
) [c
T2
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 17RMS 3164
NA61SHINE preliminary
N PT and PT 2 =sumN
i=1 p2Ti are measured for each event
PT 2 is needed to calculate the scaled variance of the inclusive
pT distribution ω[pT ] =p2TminuspT 2
pTusing only event quantities
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4523
Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons
N PT and PT 2 =sumN
i=1 p2Ti are measured for each event
PT 2 is needed to calculate the scaled variance of the inclusive
pT distribution ω[pT ] =p2TminuspT 2
pTusing only event quantities
N0 100 200
P(N
)
5minus10
4minus10
3minus10
2minus10
Mean 1047RMS 1249
NA61SHINE preliminary
[GeVc]TP0 20 40 60
) [c
GeV
]T
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 3453RMS 4701
NA61SHINE preliminary
[GeVc]TNP0 5000 10000 15000
) [c
GeV
]T
P(N
P
7minus10
6minus10
5minus10
4minus10
Mean 3665RMS 8972
NA61SHINE preliminary
]2c2 [GeVT2P0 20 40
]2G
eV2
) [c
T2
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 17RMS 3164
NA61SHINE preliminary
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1223
∆Σ[PT N] energy dependence40Ar+45Sc 0-5 vs EPOS199 0-5
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
NA61SHINE 0-5
EPOS199 0-5
The EPOS199 model overestimates ∆[PT N]
Weak and smooth energy dependence of ∆[PT N] and Σ[PT N] noevidence of anomalies related to CP
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1323
∆Σ[PT N] energy dependence40Ar+45Sc 0-5 vs EPOS199 0-5
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
NA61SHINE 0-5
EPOS199 0-5
Weak and smoothenergy dependence of∆[PT N] and Σ[PT N]no evidence of anomaliesrelated to CP
EPOS describes better∆[PT N] for negativelycharged hadrons andΣ[PT N] for positivelycharged hadrons
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1423
∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structures which could be related to CP are visible
Systematic uncertainties are under investigation (first estimates - 2 for 3 low
energies and of about 5 for 2 top energies)
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1523
∆Σ[PT N] energy vs system size scanp+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[P∆
06
08
1
12
NA61SHINE preliminary
-+h+h
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[PΣ
09
1
11
12
NA61SHINE preliminary
-+h+h
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structures which could be related to CP are visible
Mean number of wounded nucleons 〈W 〉 estimated using the GLISSANDOmodel
Statistical uncertainties are less than 1 for all points and not drawn Systematic
uncertainties are under investigation (first estimates - 2 for 3 low energies and
of about 5 for 2 top energies)
W Broniowski M Rybczynski PRC 81 064909
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1623
∆Σ[PT N] energy vs system size scanp+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[P∆
06
08
1
12
NA61SHINE preliminary
-h
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[PΣ
09
1
11
12
NA61SHINE preliminary
-h
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[P∆
06
08
1
12
NA61SHINE preliminary
+h
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[PΣ
09
1
11
12
NA61SHINE preliminary
+h
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structures which could be related to CP are visible
∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems
1) Bose-Einsteinstatistics of pion gas2) negative M (pT )vs N correlationleads to the sameinequalitiesMGorenstein KGrebieszkow PRC
89034903
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1723
Comparison with Pb+Pb results from NA49
To compare results of pT fluctuations NA49 cuts were applied toNA61SHINE dataIn NA49bull because of high density of tracks analysis was limited toforward-rapidity region (11 lt yπ lt 26)bull to exclude elastically scattered or diffractively produced protonsanalysis was limited in proton rapidity (yp lt ybeam minus 05)bull 0005 lt pT lt 15 GeVcbull common azimuthal acceptance for all energies (only for energydependence analysis)
T Anticic et al (NA49 Collaboration) PRC 92 no4044905
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1823
∆Σ[PT N] energy dependence40Ar+45Sc vs Pb+Pb (NA49 acceptance)
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
Sc 0-5 in NA49 acc45Ar+40
Pb+Pb 0-72 (NA49)
Results for 40Ar+45Sc collisions are very close to Pb+Pb No prominentstructures which could be related to CP are visible
∆[PT N] lt 1 and Σ[PT N] is consistent with 1 for both systemsT Anticic et al (NA49 Collaboration) PRC 92 no4044905
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1923
∆Σ[PT N] energy dependence40Ar+45Sc vs Pb+Pb (NA49 acceptance)
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
Sc 0-5 in NA49 acc45Ar+40
Pb+Pb 0-72 (NA49)
No prominent structureswhich could be relatedto CP are visible
∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems
T Anticic et al (NA49 Collaboration) PRC 92 no4044905
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2023
∆Σ[PT N] system size dependenceNA49 acceptance
rangWlang1 10 210 310
N]
T[P∆
06
08
1
12
14 -+h+h
NA61SHINE preliminary
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -+h+h
NA61SHINE preliminary
150-158A GeVc
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -+h+h
NA61SHINE preliminary
p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)
p+p in NA49 acc
Be+Be in NA49 acc
Ar+Sc 0-5 in NA49 acc
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -+h+h
NA61SHINE preliminary
p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)
p+p in NA49 acc
Be+Be in NA49 acc
Ar+Sc 0-5 in NA49 acc
No prominent structures which could be related to CP are visible
∆[PT N] is more sensitive to centrality selection than Σ[PT N]
T Anticic et al (NA49 Collaboration) PRC 92 no4044905
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2123
∆Σ[PT N] system size dependenceNA49 acceptance
rangWlang1 10 210 310
N]
T[P∆
06
08
1
12
14 -h
NA61SHINE preliminary
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -h
NA61SHINE preliminary
rangWlang1 10 210 310
N]
T[P∆
06
08
1
12
14 +h
NA61SHINE preliminary
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 +h
NA61SHINE preliminary
150-158A GeVc
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -+h+h
NA61SHINE preliminary
p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)
p+p in NA49 acc
Be+Be in NA49 acc
Ar+Sc 0-5 in NA49 acc
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -+h+h
NA61SHINE preliminary
p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)
p+p in NA49 acc
Be+Be in NA49 acc
Ar+Sc 0-5 in NA49 acc
No prominent structureswhich could be relatedto CP are visible
∆[PT N] for less centralcollisions (C+C Si+Si)deviates stronger fromother measurementsthan Σ[PT N]
T Anticic et al (NA49 Collaboration)
PRC 92 no4044905
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2223
Conclusions - 1
bull Preliminary results on PT vs N fluctuations for forward energyselected 40Ar+45Sc collisions with particles produced in strong andEM processes within the NA61SHINE acceptance atradicsNN = 612 762 876 1194 1683 GeV were reported
bull Uncorrected and corrected measurements of strongly intensivequantities ∆[PT N] and Σ[PT N] were shown
bull The results were compared with 1) the NA61SHINE data onp+p and 7Be+9Be collisions 2) the NA49 data on p+p C+CSi+Si and Pb+Pb collisions 3) the predictions of the EPOS199model
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2323
Conclusions - 2
bull No clear indications of CP in strongly intensive PT vs N fluctuationmeasures were observedbull Analyses more sensitive to CP (intermittency higher momentsidentified particle ratio fluctuations etc) of the NA61SHINE are inprogressbull See dedicated NA61SHINE talks on higher moments by MMackowiak-Pawlowska and on intermittency by N Davis on Friday
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[P∆
06
08
1
12
NA61SHINE preliminary
-+h+h
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[PΣ
09
1
11
12
NA61SHINE preliminary
-+h+h
Waiting for p+Pb Xe+La and Pb+Pb
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2423
evgenyandronovcernch
Thank You
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2523
Back-up
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2623
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2723
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2823
LMPD
Four large volume Time Projection Chambers (TPCs) VTPC-1 VTPC-2 (inside superconducting magnets) MTPC-L MTPC-R measurement of dEdx and p Time of Flight (ToF) detector walls
Projectile Spectator Detector (PSD) for centrality measurement (energy of projectile spectators) and determination of reaction plane resolution of 1 nucleon () in the studied energy range (important for fluctuation analysis)
Helium beam pipes inside VTPC-1 and VTPC-2 (to reduce -electrons)
Z-detector (measures ion charge for on-line selection of secondary ions A-detector (measures mass composition of secondary ion beam)
Low Momentum Particle Detector (LMPD) for centrality determination in p+A measures target nucleus spectators
PSD
Large acceptance asymp 50 High momentum resolution σ(p)p2asymp10-4(GeVc)-1 (at full B=9 T∙m) ToF walls resolution ToF-LR σ(t)asymp60 ps ToF-F σ(t)asymp120 ps Good particle identification σ(dEdx)ltdEdxgtasymp004 σ(minv)asymp5 MeV
High detector efficiency gt 95 Event rate 70 eventssec
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2923
Centrality determinationDue to the differences in magnetic field PSD position and Fermimotion for various energies different set of modules is chosen tocalculate the EF
Centrality selection in Ar+Sc collisionsProjectile Spectator Detector
Due to the differences in magnetic field and PSD position for variousenergies different set of modules is chosen to calculate the EF
13 AGeVc 19 AGeVc 30 AGeVc
40 AGeVc 75 AGeVc 150 AGeVc
The module sets are chosen on the basis of corelations between energyand multiplicity for each module
5 1The module sets are chosen on the basis of corelations betweenenergy and multiplicity for each module
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3023
Statistics40Ar+ 45Sc 0minus 5 0 lt yπ lt ybeam
Event stats 19 30 40 75 150
Total 21M 31M 19M 41M 28M
Selected 01M 02M 01M 05M 01M
Track stats 19 30 40 75 150
Total 22M 54M 35M 156M 55M
Selected 5M 11M 8M 37M 15M
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3123
[PT N] fluctuations
PT =sumN
i=1 pTi
∆[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ]minus 〈PT 〉ω[N])
Σ[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ] + 〈PT 〉ω[N]minus 2cov(PT N))
Here
ω[PT ] =〈P2
T 〉minus〈PT 〉2〈PT 〉 〈〉 - average over all events
ω[N] = 〈N2〉minus〈N〉2〈N〉
ω[pT ] =p2TminuspT 2
pT middot - average over all particles
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3223
∆Σ[PT N] effect of correctionsp+p vs 7Be+9Be
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
p+p uncorrectedp+p corrected
Be 0-5 uncorrected9Be+7 Be 0-5 corrected9Be+7
Corrections are larger for ∆[PT N] in p+p and for Σ[PT N] in 7Be+9Be
SI fluctuation measures do not change their energy dependence after corrections
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3323
∆Σ[PT N] acceptance dependencep+p
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
p+p full NA61 acc
beamp+p 0ltylty
Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]
Energy dependence trend is the same for full and limited acceptance
Systematic uncertainties for limited acceptance are expected to be ofabout uncertainties for full acceptance
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3423
∆Σ[PT N] acceptance dependencep+p
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
p+p full NA61 acc
beamp+p 0ltylty
Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]
∆[PT N] and Σ[PT N]changes due toacceptance are morepronounced for positivelycharged hadrons
It can be indication ofstronger ∆++ resonancedecay contribution forfull acceptance case
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3523
∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc
Centrality classes from 0minus 1 to 0minus 10
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
30A GeVc
30A GeVc EPOS199
Σ[PT N] is less centrality dependent than ∆[PT N] both in data and inthe EPOS199 model
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3623
∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12+h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
30A GeVc
30A GeVc EPOS199
The EPOS199 modeldescribes better∆[PT N] for negativelycharged hadrons andΣ[PT N] for positivelycharged hadrons
Σ[PT N] is lesscentrality dependentthan ∆[PT N] fornegatively and positivelycharged hadrons
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3723
∆Σ[PT N] energy dependence for 2 centrality classes40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
Corrected 0-5
Corrected 0-1
Σ[PT N] is less centrality dependent than ∆[PT N]
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3823
Centrality dependence
centrality
] - N
T[PΣ
] or
-
NT
[P∆]
or
-[N
ω
1
10
0-5 0-10 0-15 0-20
UrQMD 33 20A GeVneg charged
]-[Nω]- N
T[P∆
]- NT
[PΣ
(a)
centrality
] - N
T[PΣ
] or
-
NT
[P∆]
or
-[N
ω
1
10
0-5 0-10 0-15 0-20
UrQMD 33 20A GeVneg charged
lt 2π
0 lt y
]-[Nω]- N
T[P∆
]- NT
[PΣ
(b)
Figure 5 (Color online) The UrQMD results for the centrality dependence of ω[Nminus] (squares)
∆[PT Nminus] (circles) and Σ[PT Nminus] (triangles) in Pb+Pb collisions at Elab = 20A GeV A centrality
selection is done with a restriction on the impact parameter b (a) The full 4π detector acceptance
(b) Only particles with center of mass rapidity in the interval 1 lt yπ lt 2 are accepted (pion mass was
assumed for all particles) Open symbols correspond to the case when 10 of particles was randomly
rejected
and we call it acceptance losses On the other hand even in this accepted kinematic region we
still may have efficiency losses due to track reconstruction problems (including problems with
ionization energy loss dEdx reconstruction)
The UrQMD results for negatively charged particles in Pb+Pb collisions at Elab = 20A GeV
for the full 4π acceptance and for the particles accepted only in the center of mass rapidity
interval 1 lt yπ lt 2 are shown in Fig 5 (a) and (b) respectively (full symbols) From a
comparison of the results for the full and limited detector acceptance one observes rather strong
effects of acceptance losses for the scaled variance ω[Nminus] The strongly intensive measures
∆[PT Nminus] and Σ[PT Nminus] look again more appropriate The effects of the limited acceptance
are rather moderate for ∆[PT Nminus] and almost absent for Σ[PT Nminus] We also would like to stress
that the acceptance dependence shown in Fig 5 is the example only In general the measured
25
MGorenstein KGrebieszkow PRC 89034903
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3923
∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structures which could be related to CP are visible
Systematic uncertainties are under investigation (first estimates - 2 for 3 low
energies and of about 5 for 2 top energies)
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4023
∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structureswhich could be relatedto CP are visible
∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems
Systematic uncertainties
are under investigation
(first estimates - 2 for 3
low energies and of about
5 for 2 top energies)
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4123
Σ[PT N] system size dependence
Linear fit Parabolic fit
10 210
098
1
102
104
106
108
Graph ndf 2χ 4872 4
p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus
ndf 2χ 4872 4p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus
Graph
10 210
098
1
102
104
106
108
Graph ndf 2χ 3119 3
p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus
ndf 2χ 3119 3p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus
Graph
Gaussian fit
10 210
098
1
102
104
106
108
Graph ndf 2χ 3124 3
Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421
ndf 2χ 3124 3Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421
Graph
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4223
Corrections
Corrections for contamination from off-target interactions for40Ar+45Sc were not applied but with applied vertex positionselection they are expected to be less than 1
MMP WUT (NA61SHINE) Quark Matter 2015 Kobe Japan September 20 2015 19 17
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4323
Obtaining 〈W 〉
Glissando MC is based on Glauber model whereas EPOS utilizesparton ladder model
rdquoin our case the inelastic Nucleon-Nucleon cross-section in anucleus is smaller than the corresponding pp cross-section leadingto less binary collisions than in standard Glauberrdquo
Tanguy Pierog core EPOS developer
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4423
Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons
ent
ries
0
100
200
300
400
500
600
700
N0 100 200
[G
eVc
]T
P
0
20
40
60
Mean x 1047Mean y 3454RMS x 1249RMS y 4695
-+h+hNA61SHINE preliminary
]2c2 [GeVT2P0 20 40
]2G
eV2
) [c
T2
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 17RMS 3164
NA61SHINE preliminary
N PT and PT 2 =sumN
i=1 p2Ti are measured for each event
PT 2 is needed to calculate the scaled variance of the inclusive
pT distribution ω[pT ] =p2TminuspT 2
pTusing only event quantities
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4523
Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons
N PT and PT 2 =sumN
i=1 p2Ti are measured for each event
PT 2 is needed to calculate the scaled variance of the inclusive
pT distribution ω[pT ] =p2TminuspT 2
pTusing only event quantities
N0 100 200
P(N
)
5minus10
4minus10
3minus10
2minus10
Mean 1047RMS 1249
NA61SHINE preliminary
[GeVc]TP0 20 40 60
) [c
GeV
]T
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 3453RMS 4701
NA61SHINE preliminary
[GeVc]TNP0 5000 10000 15000
) [c
GeV
]T
P(N
P
7minus10
6minus10
5minus10
4minus10
Mean 3665RMS 8972
NA61SHINE preliminary
]2c2 [GeVT2P0 20 40
]2G
eV2
) [c
T2
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 17RMS 3164
NA61SHINE preliminary
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1323
∆Σ[PT N] energy dependence40Ar+45Sc 0-5 vs EPOS199 0-5
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
NA61SHINE 0-5
EPOS199 0-5
Weak and smoothenergy dependence of∆[PT N] and Σ[PT N]no evidence of anomaliesrelated to CP
EPOS describes better∆[PT N] for negativelycharged hadrons andΣ[PT N] for positivelycharged hadrons
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1423
∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structures which could be related to CP are visible
Systematic uncertainties are under investigation (first estimates - 2 for 3 low
energies and of about 5 for 2 top energies)
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1523
∆Σ[PT N] energy vs system size scanp+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[P∆
06
08
1
12
NA61SHINE preliminary
-+h+h
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[PΣ
09
1
11
12
NA61SHINE preliminary
-+h+h
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structures which could be related to CP are visible
Mean number of wounded nucleons 〈W 〉 estimated using the GLISSANDOmodel
Statistical uncertainties are less than 1 for all points and not drawn Systematic
uncertainties are under investigation (first estimates - 2 for 3 low energies and
of about 5 for 2 top energies)
W Broniowski M Rybczynski PRC 81 064909
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1623
∆Σ[PT N] energy vs system size scanp+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[P∆
06
08
1
12
NA61SHINE preliminary
-h
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[PΣ
09
1
11
12
NA61SHINE preliminary
-h
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[P∆
06
08
1
12
NA61SHINE preliminary
+h
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[PΣ
09
1
11
12
NA61SHINE preliminary
+h
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structures which could be related to CP are visible
∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems
1) Bose-Einsteinstatistics of pion gas2) negative M (pT )vs N correlationleads to the sameinequalitiesMGorenstein KGrebieszkow PRC
89034903
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1723
Comparison with Pb+Pb results from NA49
To compare results of pT fluctuations NA49 cuts were applied toNA61SHINE dataIn NA49bull because of high density of tracks analysis was limited toforward-rapidity region (11 lt yπ lt 26)bull to exclude elastically scattered or diffractively produced protonsanalysis was limited in proton rapidity (yp lt ybeam minus 05)bull 0005 lt pT lt 15 GeVcbull common azimuthal acceptance for all energies (only for energydependence analysis)
T Anticic et al (NA49 Collaboration) PRC 92 no4044905
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1823
∆Σ[PT N] energy dependence40Ar+45Sc vs Pb+Pb (NA49 acceptance)
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
Sc 0-5 in NA49 acc45Ar+40
Pb+Pb 0-72 (NA49)
Results for 40Ar+45Sc collisions are very close to Pb+Pb No prominentstructures which could be related to CP are visible
∆[PT N] lt 1 and Σ[PT N] is consistent with 1 for both systemsT Anticic et al (NA49 Collaboration) PRC 92 no4044905
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1923
∆Σ[PT N] energy dependence40Ar+45Sc vs Pb+Pb (NA49 acceptance)
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
Sc 0-5 in NA49 acc45Ar+40
Pb+Pb 0-72 (NA49)
No prominent structureswhich could be relatedto CP are visible
∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems
T Anticic et al (NA49 Collaboration) PRC 92 no4044905
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2023
∆Σ[PT N] system size dependenceNA49 acceptance
rangWlang1 10 210 310
N]
T[P∆
06
08
1
12
14 -+h+h
NA61SHINE preliminary
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -+h+h
NA61SHINE preliminary
150-158A GeVc
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -+h+h
NA61SHINE preliminary
p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)
p+p in NA49 acc
Be+Be in NA49 acc
Ar+Sc 0-5 in NA49 acc
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -+h+h
NA61SHINE preliminary
p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)
p+p in NA49 acc
Be+Be in NA49 acc
Ar+Sc 0-5 in NA49 acc
No prominent structures which could be related to CP are visible
∆[PT N] is more sensitive to centrality selection than Σ[PT N]
T Anticic et al (NA49 Collaboration) PRC 92 no4044905
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2123
∆Σ[PT N] system size dependenceNA49 acceptance
rangWlang1 10 210 310
N]
T[P∆
06
08
1
12
14 -h
NA61SHINE preliminary
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -h
NA61SHINE preliminary
rangWlang1 10 210 310
N]
T[P∆
06
08
1
12
14 +h
NA61SHINE preliminary
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 +h
NA61SHINE preliminary
150-158A GeVc
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -+h+h
NA61SHINE preliminary
p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)
p+p in NA49 acc
Be+Be in NA49 acc
Ar+Sc 0-5 in NA49 acc
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -+h+h
NA61SHINE preliminary
p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)
p+p in NA49 acc
Be+Be in NA49 acc
Ar+Sc 0-5 in NA49 acc
No prominent structureswhich could be relatedto CP are visible
∆[PT N] for less centralcollisions (C+C Si+Si)deviates stronger fromother measurementsthan Σ[PT N]
T Anticic et al (NA49 Collaboration)
PRC 92 no4044905
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2223
Conclusions - 1
bull Preliminary results on PT vs N fluctuations for forward energyselected 40Ar+45Sc collisions with particles produced in strong andEM processes within the NA61SHINE acceptance atradicsNN = 612 762 876 1194 1683 GeV were reported
bull Uncorrected and corrected measurements of strongly intensivequantities ∆[PT N] and Σ[PT N] were shown
bull The results were compared with 1) the NA61SHINE data onp+p and 7Be+9Be collisions 2) the NA49 data on p+p C+CSi+Si and Pb+Pb collisions 3) the predictions of the EPOS199model
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2323
Conclusions - 2
bull No clear indications of CP in strongly intensive PT vs N fluctuationmeasures were observedbull Analyses more sensitive to CP (intermittency higher momentsidentified particle ratio fluctuations etc) of the NA61SHINE are inprogressbull See dedicated NA61SHINE talks on higher moments by MMackowiak-Pawlowska and on intermittency by N Davis on Friday
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[P∆
06
08
1
12
NA61SHINE preliminary
-+h+h
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[PΣ
09
1
11
12
NA61SHINE preliminary
-+h+h
Waiting for p+Pb Xe+La and Pb+Pb
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2423
evgenyandronovcernch
Thank You
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2523
Back-up
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2623
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2723
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2823
LMPD
Four large volume Time Projection Chambers (TPCs) VTPC-1 VTPC-2 (inside superconducting magnets) MTPC-L MTPC-R measurement of dEdx and p Time of Flight (ToF) detector walls
Projectile Spectator Detector (PSD) for centrality measurement (energy of projectile spectators) and determination of reaction plane resolution of 1 nucleon () in the studied energy range (important for fluctuation analysis)
Helium beam pipes inside VTPC-1 and VTPC-2 (to reduce -electrons)
Z-detector (measures ion charge for on-line selection of secondary ions A-detector (measures mass composition of secondary ion beam)
Low Momentum Particle Detector (LMPD) for centrality determination in p+A measures target nucleus spectators
PSD
Large acceptance asymp 50 High momentum resolution σ(p)p2asymp10-4(GeVc)-1 (at full B=9 T∙m) ToF walls resolution ToF-LR σ(t)asymp60 ps ToF-F σ(t)asymp120 ps Good particle identification σ(dEdx)ltdEdxgtasymp004 σ(minv)asymp5 MeV
High detector efficiency gt 95 Event rate 70 eventssec
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2923
Centrality determinationDue to the differences in magnetic field PSD position and Fermimotion for various energies different set of modules is chosen tocalculate the EF
Centrality selection in Ar+Sc collisionsProjectile Spectator Detector
Due to the differences in magnetic field and PSD position for variousenergies different set of modules is chosen to calculate the EF
13 AGeVc 19 AGeVc 30 AGeVc
40 AGeVc 75 AGeVc 150 AGeVc
The module sets are chosen on the basis of corelations between energyand multiplicity for each module
5 1The module sets are chosen on the basis of corelations betweenenergy and multiplicity for each module
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3023
Statistics40Ar+ 45Sc 0minus 5 0 lt yπ lt ybeam
Event stats 19 30 40 75 150
Total 21M 31M 19M 41M 28M
Selected 01M 02M 01M 05M 01M
Track stats 19 30 40 75 150
Total 22M 54M 35M 156M 55M
Selected 5M 11M 8M 37M 15M
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3123
[PT N] fluctuations
PT =sumN
i=1 pTi
∆[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ]minus 〈PT 〉ω[N])
Σ[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ] + 〈PT 〉ω[N]minus 2cov(PT N))
Here
ω[PT ] =〈P2
T 〉minus〈PT 〉2〈PT 〉 〈〉 - average over all events
ω[N] = 〈N2〉minus〈N〉2〈N〉
ω[pT ] =p2TminuspT 2
pT middot - average over all particles
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3223
∆Σ[PT N] effect of correctionsp+p vs 7Be+9Be
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
p+p uncorrectedp+p corrected
Be 0-5 uncorrected9Be+7 Be 0-5 corrected9Be+7
Corrections are larger for ∆[PT N] in p+p and for Σ[PT N] in 7Be+9Be
SI fluctuation measures do not change their energy dependence after corrections
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3323
∆Σ[PT N] acceptance dependencep+p
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
p+p full NA61 acc
beamp+p 0ltylty
Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]
Energy dependence trend is the same for full and limited acceptance
Systematic uncertainties for limited acceptance are expected to be ofabout uncertainties for full acceptance
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3423
∆Σ[PT N] acceptance dependencep+p
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
p+p full NA61 acc
beamp+p 0ltylty
Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]
∆[PT N] and Σ[PT N]changes due toacceptance are morepronounced for positivelycharged hadrons
It can be indication ofstronger ∆++ resonancedecay contribution forfull acceptance case
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3523
∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc
Centrality classes from 0minus 1 to 0minus 10
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
30A GeVc
30A GeVc EPOS199
Σ[PT N] is less centrality dependent than ∆[PT N] both in data and inthe EPOS199 model
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3623
∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12+h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
30A GeVc
30A GeVc EPOS199
The EPOS199 modeldescribes better∆[PT N] for negativelycharged hadrons andΣ[PT N] for positivelycharged hadrons
Σ[PT N] is lesscentrality dependentthan ∆[PT N] fornegatively and positivelycharged hadrons
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3723
∆Σ[PT N] energy dependence for 2 centrality classes40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
Corrected 0-5
Corrected 0-1
Σ[PT N] is less centrality dependent than ∆[PT N]
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3823
Centrality dependence
centrality
] - N
T[PΣ
] or
-
NT
[P∆]
or
-[N
ω
1
10
0-5 0-10 0-15 0-20
UrQMD 33 20A GeVneg charged
]-[Nω]- N
T[P∆
]- NT
[PΣ
(a)
centrality
] - N
T[PΣ
] or
-
NT
[P∆]
or
-[N
ω
1
10
0-5 0-10 0-15 0-20
UrQMD 33 20A GeVneg charged
lt 2π
0 lt y
]-[Nω]- N
T[P∆
]- NT
[PΣ
(b)
Figure 5 (Color online) The UrQMD results for the centrality dependence of ω[Nminus] (squares)
∆[PT Nminus] (circles) and Σ[PT Nminus] (triangles) in Pb+Pb collisions at Elab = 20A GeV A centrality
selection is done with a restriction on the impact parameter b (a) The full 4π detector acceptance
(b) Only particles with center of mass rapidity in the interval 1 lt yπ lt 2 are accepted (pion mass was
assumed for all particles) Open symbols correspond to the case when 10 of particles was randomly
rejected
and we call it acceptance losses On the other hand even in this accepted kinematic region we
still may have efficiency losses due to track reconstruction problems (including problems with
ionization energy loss dEdx reconstruction)
The UrQMD results for negatively charged particles in Pb+Pb collisions at Elab = 20A GeV
for the full 4π acceptance and for the particles accepted only in the center of mass rapidity
interval 1 lt yπ lt 2 are shown in Fig 5 (a) and (b) respectively (full symbols) From a
comparison of the results for the full and limited detector acceptance one observes rather strong
effects of acceptance losses for the scaled variance ω[Nminus] The strongly intensive measures
∆[PT Nminus] and Σ[PT Nminus] look again more appropriate The effects of the limited acceptance
are rather moderate for ∆[PT Nminus] and almost absent for Σ[PT Nminus] We also would like to stress
that the acceptance dependence shown in Fig 5 is the example only In general the measured
25
MGorenstein KGrebieszkow PRC 89034903
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3923
∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structures which could be related to CP are visible
Systematic uncertainties are under investigation (first estimates - 2 for 3 low
energies and of about 5 for 2 top energies)
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4023
∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structureswhich could be relatedto CP are visible
∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems
Systematic uncertainties
are under investigation
(first estimates - 2 for 3
low energies and of about
5 for 2 top energies)
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4123
Σ[PT N] system size dependence
Linear fit Parabolic fit
10 210
098
1
102
104
106
108
Graph ndf 2χ 4872 4
p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus
ndf 2χ 4872 4p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus
Graph
10 210
098
1
102
104
106
108
Graph ndf 2χ 3119 3
p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus
ndf 2χ 3119 3p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus
Graph
Gaussian fit
10 210
098
1
102
104
106
108
Graph ndf 2χ 3124 3
Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421
ndf 2χ 3124 3Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421
Graph
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4223
Corrections
Corrections for contamination from off-target interactions for40Ar+45Sc were not applied but with applied vertex positionselection they are expected to be less than 1
MMP WUT (NA61SHINE) Quark Matter 2015 Kobe Japan September 20 2015 19 17
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4323
Obtaining 〈W 〉
Glissando MC is based on Glauber model whereas EPOS utilizesparton ladder model
rdquoin our case the inelastic Nucleon-Nucleon cross-section in anucleus is smaller than the corresponding pp cross-section leadingto less binary collisions than in standard Glauberrdquo
Tanguy Pierog core EPOS developer
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4423
Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons
ent
ries
0
100
200
300
400
500
600
700
N0 100 200
[G
eVc
]T
P
0
20
40
60
Mean x 1047Mean y 3454RMS x 1249RMS y 4695
-+h+hNA61SHINE preliminary
]2c2 [GeVT2P0 20 40
]2G
eV2
) [c
T2
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 17RMS 3164
NA61SHINE preliminary
N PT and PT 2 =sumN
i=1 p2Ti are measured for each event
PT 2 is needed to calculate the scaled variance of the inclusive
pT distribution ω[pT ] =p2TminuspT 2
pTusing only event quantities
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4523
Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons
N PT and PT 2 =sumN
i=1 p2Ti are measured for each event
PT 2 is needed to calculate the scaled variance of the inclusive
pT distribution ω[pT ] =p2TminuspT 2
pTusing only event quantities
N0 100 200
P(N
)
5minus10
4minus10
3minus10
2minus10
Mean 1047RMS 1249
NA61SHINE preliminary
[GeVc]TP0 20 40 60
) [c
GeV
]T
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 3453RMS 4701
NA61SHINE preliminary
[GeVc]TNP0 5000 10000 15000
) [c
GeV
]T
P(N
P
7minus10
6minus10
5minus10
4minus10
Mean 3665RMS 8972
NA61SHINE preliminary
]2c2 [GeVT2P0 20 40
]2G
eV2
) [c
T2
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 17RMS 3164
NA61SHINE preliminary
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1423
∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structures which could be related to CP are visible
Systematic uncertainties are under investigation (first estimates - 2 for 3 low
energies and of about 5 for 2 top energies)
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1523
∆Σ[PT N] energy vs system size scanp+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[P∆
06
08
1
12
NA61SHINE preliminary
-+h+h
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[PΣ
09
1
11
12
NA61SHINE preliminary
-+h+h
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structures which could be related to CP are visible
Mean number of wounded nucleons 〈W 〉 estimated using the GLISSANDOmodel
Statistical uncertainties are less than 1 for all points and not drawn Systematic
uncertainties are under investigation (first estimates - 2 for 3 low energies and
of about 5 for 2 top energies)
W Broniowski M Rybczynski PRC 81 064909
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1623
∆Σ[PT N] energy vs system size scanp+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[P∆
06
08
1
12
NA61SHINE preliminary
-h
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[PΣ
09
1
11
12
NA61SHINE preliminary
-h
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[P∆
06
08
1
12
NA61SHINE preliminary
+h
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[PΣ
09
1
11
12
NA61SHINE preliminary
+h
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structures which could be related to CP are visible
∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems
1) Bose-Einsteinstatistics of pion gas2) negative M (pT )vs N correlationleads to the sameinequalitiesMGorenstein KGrebieszkow PRC
89034903
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1723
Comparison with Pb+Pb results from NA49
To compare results of pT fluctuations NA49 cuts were applied toNA61SHINE dataIn NA49bull because of high density of tracks analysis was limited toforward-rapidity region (11 lt yπ lt 26)bull to exclude elastically scattered or diffractively produced protonsanalysis was limited in proton rapidity (yp lt ybeam minus 05)bull 0005 lt pT lt 15 GeVcbull common azimuthal acceptance for all energies (only for energydependence analysis)
T Anticic et al (NA49 Collaboration) PRC 92 no4044905
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1823
∆Σ[PT N] energy dependence40Ar+45Sc vs Pb+Pb (NA49 acceptance)
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
Sc 0-5 in NA49 acc45Ar+40
Pb+Pb 0-72 (NA49)
Results for 40Ar+45Sc collisions are very close to Pb+Pb No prominentstructures which could be related to CP are visible
∆[PT N] lt 1 and Σ[PT N] is consistent with 1 for both systemsT Anticic et al (NA49 Collaboration) PRC 92 no4044905
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1923
∆Σ[PT N] energy dependence40Ar+45Sc vs Pb+Pb (NA49 acceptance)
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
Sc 0-5 in NA49 acc45Ar+40
Pb+Pb 0-72 (NA49)
No prominent structureswhich could be relatedto CP are visible
∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems
T Anticic et al (NA49 Collaboration) PRC 92 no4044905
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2023
∆Σ[PT N] system size dependenceNA49 acceptance
rangWlang1 10 210 310
N]
T[P∆
06
08
1
12
14 -+h+h
NA61SHINE preliminary
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -+h+h
NA61SHINE preliminary
150-158A GeVc
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -+h+h
NA61SHINE preliminary
p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)
p+p in NA49 acc
Be+Be in NA49 acc
Ar+Sc 0-5 in NA49 acc
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -+h+h
NA61SHINE preliminary
p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)
p+p in NA49 acc
Be+Be in NA49 acc
Ar+Sc 0-5 in NA49 acc
No prominent structures which could be related to CP are visible
∆[PT N] is more sensitive to centrality selection than Σ[PT N]
T Anticic et al (NA49 Collaboration) PRC 92 no4044905
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2123
∆Σ[PT N] system size dependenceNA49 acceptance
rangWlang1 10 210 310
N]
T[P∆
06
08
1
12
14 -h
NA61SHINE preliminary
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -h
NA61SHINE preliminary
rangWlang1 10 210 310
N]
T[P∆
06
08
1
12
14 +h
NA61SHINE preliminary
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 +h
NA61SHINE preliminary
150-158A GeVc
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -+h+h
NA61SHINE preliminary
p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)
p+p in NA49 acc
Be+Be in NA49 acc
Ar+Sc 0-5 in NA49 acc
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -+h+h
NA61SHINE preliminary
p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)
p+p in NA49 acc
Be+Be in NA49 acc
Ar+Sc 0-5 in NA49 acc
No prominent structureswhich could be relatedto CP are visible
∆[PT N] for less centralcollisions (C+C Si+Si)deviates stronger fromother measurementsthan Σ[PT N]
T Anticic et al (NA49 Collaboration)
PRC 92 no4044905
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2223
Conclusions - 1
bull Preliminary results on PT vs N fluctuations for forward energyselected 40Ar+45Sc collisions with particles produced in strong andEM processes within the NA61SHINE acceptance atradicsNN = 612 762 876 1194 1683 GeV were reported
bull Uncorrected and corrected measurements of strongly intensivequantities ∆[PT N] and Σ[PT N] were shown
bull The results were compared with 1) the NA61SHINE data onp+p and 7Be+9Be collisions 2) the NA49 data on p+p C+CSi+Si and Pb+Pb collisions 3) the predictions of the EPOS199model
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2323
Conclusions - 2
bull No clear indications of CP in strongly intensive PT vs N fluctuationmeasures were observedbull Analyses more sensitive to CP (intermittency higher momentsidentified particle ratio fluctuations etc) of the NA61SHINE are inprogressbull See dedicated NA61SHINE talks on higher moments by MMackowiak-Pawlowska and on intermittency by N Davis on Friday
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[P∆
06
08
1
12
NA61SHINE preliminary
-+h+h
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[PΣ
09
1
11
12
NA61SHINE preliminary
-+h+h
Waiting for p+Pb Xe+La and Pb+Pb
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2423
evgenyandronovcernch
Thank You
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2523
Back-up
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2623
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2723
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2823
LMPD
Four large volume Time Projection Chambers (TPCs) VTPC-1 VTPC-2 (inside superconducting magnets) MTPC-L MTPC-R measurement of dEdx and p Time of Flight (ToF) detector walls
Projectile Spectator Detector (PSD) for centrality measurement (energy of projectile spectators) and determination of reaction plane resolution of 1 nucleon () in the studied energy range (important for fluctuation analysis)
Helium beam pipes inside VTPC-1 and VTPC-2 (to reduce -electrons)
Z-detector (measures ion charge for on-line selection of secondary ions A-detector (measures mass composition of secondary ion beam)
Low Momentum Particle Detector (LMPD) for centrality determination in p+A measures target nucleus spectators
PSD
Large acceptance asymp 50 High momentum resolution σ(p)p2asymp10-4(GeVc)-1 (at full B=9 T∙m) ToF walls resolution ToF-LR σ(t)asymp60 ps ToF-F σ(t)asymp120 ps Good particle identification σ(dEdx)ltdEdxgtasymp004 σ(minv)asymp5 MeV
High detector efficiency gt 95 Event rate 70 eventssec
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2923
Centrality determinationDue to the differences in magnetic field PSD position and Fermimotion for various energies different set of modules is chosen tocalculate the EF
Centrality selection in Ar+Sc collisionsProjectile Spectator Detector
Due to the differences in magnetic field and PSD position for variousenergies different set of modules is chosen to calculate the EF
13 AGeVc 19 AGeVc 30 AGeVc
40 AGeVc 75 AGeVc 150 AGeVc
The module sets are chosen on the basis of corelations between energyand multiplicity for each module
5 1The module sets are chosen on the basis of corelations betweenenergy and multiplicity for each module
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3023
Statistics40Ar+ 45Sc 0minus 5 0 lt yπ lt ybeam
Event stats 19 30 40 75 150
Total 21M 31M 19M 41M 28M
Selected 01M 02M 01M 05M 01M
Track stats 19 30 40 75 150
Total 22M 54M 35M 156M 55M
Selected 5M 11M 8M 37M 15M
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3123
[PT N] fluctuations
PT =sumN
i=1 pTi
∆[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ]minus 〈PT 〉ω[N])
Σ[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ] + 〈PT 〉ω[N]minus 2cov(PT N))
Here
ω[PT ] =〈P2
T 〉minus〈PT 〉2〈PT 〉 〈〉 - average over all events
ω[N] = 〈N2〉minus〈N〉2〈N〉
ω[pT ] =p2TminuspT 2
pT middot - average over all particles
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3223
∆Σ[PT N] effect of correctionsp+p vs 7Be+9Be
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
p+p uncorrectedp+p corrected
Be 0-5 uncorrected9Be+7 Be 0-5 corrected9Be+7
Corrections are larger for ∆[PT N] in p+p and for Σ[PT N] in 7Be+9Be
SI fluctuation measures do not change their energy dependence after corrections
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3323
∆Σ[PT N] acceptance dependencep+p
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
p+p full NA61 acc
beamp+p 0ltylty
Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]
Energy dependence trend is the same for full and limited acceptance
Systematic uncertainties for limited acceptance are expected to be ofabout uncertainties for full acceptance
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3423
∆Σ[PT N] acceptance dependencep+p
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
p+p full NA61 acc
beamp+p 0ltylty
Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]
∆[PT N] and Σ[PT N]changes due toacceptance are morepronounced for positivelycharged hadrons
It can be indication ofstronger ∆++ resonancedecay contribution forfull acceptance case
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3523
∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc
Centrality classes from 0minus 1 to 0minus 10
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
30A GeVc
30A GeVc EPOS199
Σ[PT N] is less centrality dependent than ∆[PT N] both in data and inthe EPOS199 model
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3623
∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12+h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
30A GeVc
30A GeVc EPOS199
The EPOS199 modeldescribes better∆[PT N] for negativelycharged hadrons andΣ[PT N] for positivelycharged hadrons
Σ[PT N] is lesscentrality dependentthan ∆[PT N] fornegatively and positivelycharged hadrons
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3723
∆Σ[PT N] energy dependence for 2 centrality classes40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
Corrected 0-5
Corrected 0-1
Σ[PT N] is less centrality dependent than ∆[PT N]
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3823
Centrality dependence
centrality
] - N
T[PΣ
] or
-
NT
[P∆]
or
-[N
ω
1
10
0-5 0-10 0-15 0-20
UrQMD 33 20A GeVneg charged
]-[Nω]- N
T[P∆
]- NT
[PΣ
(a)
centrality
] - N
T[PΣ
] or
-
NT
[P∆]
or
-[N
ω
1
10
0-5 0-10 0-15 0-20
UrQMD 33 20A GeVneg charged
lt 2π
0 lt y
]-[Nω]- N
T[P∆
]- NT
[PΣ
(b)
Figure 5 (Color online) The UrQMD results for the centrality dependence of ω[Nminus] (squares)
∆[PT Nminus] (circles) and Σ[PT Nminus] (triangles) in Pb+Pb collisions at Elab = 20A GeV A centrality
selection is done with a restriction on the impact parameter b (a) The full 4π detector acceptance
(b) Only particles with center of mass rapidity in the interval 1 lt yπ lt 2 are accepted (pion mass was
assumed for all particles) Open symbols correspond to the case when 10 of particles was randomly
rejected
and we call it acceptance losses On the other hand even in this accepted kinematic region we
still may have efficiency losses due to track reconstruction problems (including problems with
ionization energy loss dEdx reconstruction)
The UrQMD results for negatively charged particles in Pb+Pb collisions at Elab = 20A GeV
for the full 4π acceptance and for the particles accepted only in the center of mass rapidity
interval 1 lt yπ lt 2 are shown in Fig 5 (a) and (b) respectively (full symbols) From a
comparison of the results for the full and limited detector acceptance one observes rather strong
effects of acceptance losses for the scaled variance ω[Nminus] The strongly intensive measures
∆[PT Nminus] and Σ[PT Nminus] look again more appropriate The effects of the limited acceptance
are rather moderate for ∆[PT Nminus] and almost absent for Σ[PT Nminus] We also would like to stress
that the acceptance dependence shown in Fig 5 is the example only In general the measured
25
MGorenstein KGrebieszkow PRC 89034903
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3923
∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structures which could be related to CP are visible
Systematic uncertainties are under investigation (first estimates - 2 for 3 low
energies and of about 5 for 2 top energies)
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4023
∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structureswhich could be relatedto CP are visible
∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems
Systematic uncertainties
are under investigation
(first estimates - 2 for 3
low energies and of about
5 for 2 top energies)
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4123
Σ[PT N] system size dependence
Linear fit Parabolic fit
10 210
098
1
102
104
106
108
Graph ndf 2χ 4872 4
p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus
ndf 2χ 4872 4p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus
Graph
10 210
098
1
102
104
106
108
Graph ndf 2χ 3119 3
p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus
ndf 2χ 3119 3p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus
Graph
Gaussian fit
10 210
098
1
102
104
106
108
Graph ndf 2χ 3124 3
Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421
ndf 2χ 3124 3Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421
Graph
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4223
Corrections
Corrections for contamination from off-target interactions for40Ar+45Sc were not applied but with applied vertex positionselection they are expected to be less than 1
MMP WUT (NA61SHINE) Quark Matter 2015 Kobe Japan September 20 2015 19 17
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4323
Obtaining 〈W 〉
Glissando MC is based on Glauber model whereas EPOS utilizesparton ladder model
rdquoin our case the inelastic Nucleon-Nucleon cross-section in anucleus is smaller than the corresponding pp cross-section leadingto less binary collisions than in standard Glauberrdquo
Tanguy Pierog core EPOS developer
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4423
Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons
ent
ries
0
100
200
300
400
500
600
700
N0 100 200
[G
eVc
]T
P
0
20
40
60
Mean x 1047Mean y 3454RMS x 1249RMS y 4695
-+h+hNA61SHINE preliminary
]2c2 [GeVT2P0 20 40
]2G
eV2
) [c
T2
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 17RMS 3164
NA61SHINE preliminary
N PT and PT 2 =sumN
i=1 p2Ti are measured for each event
PT 2 is needed to calculate the scaled variance of the inclusive
pT distribution ω[pT ] =p2TminuspT 2
pTusing only event quantities
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4523
Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons
N PT and PT 2 =sumN
i=1 p2Ti are measured for each event
PT 2 is needed to calculate the scaled variance of the inclusive
pT distribution ω[pT ] =p2TminuspT 2
pTusing only event quantities
N0 100 200
P(N
)
5minus10
4minus10
3minus10
2minus10
Mean 1047RMS 1249
NA61SHINE preliminary
[GeVc]TP0 20 40 60
) [c
GeV
]T
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 3453RMS 4701
NA61SHINE preliminary
[GeVc]TNP0 5000 10000 15000
) [c
GeV
]T
P(N
P
7minus10
6minus10
5minus10
4minus10
Mean 3665RMS 8972
NA61SHINE preliminary
]2c2 [GeVT2P0 20 40
]2G
eV2
) [c
T2
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 17RMS 3164
NA61SHINE preliminary
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1523
∆Σ[PT N] energy vs system size scanp+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[P∆
06
08
1
12
NA61SHINE preliminary
-+h+h
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[PΣ
09
1
11
12
NA61SHINE preliminary
-+h+h
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structures which could be related to CP are visible
Mean number of wounded nucleons 〈W 〉 estimated using the GLISSANDOmodel
Statistical uncertainties are less than 1 for all points and not drawn Systematic
uncertainties are under investigation (first estimates - 2 for 3 low energies and
of about 5 for 2 top energies)
W Broniowski M Rybczynski PRC 81 064909
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1623
∆Σ[PT N] energy vs system size scanp+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[P∆
06
08
1
12
NA61SHINE preliminary
-h
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[PΣ
09
1
11
12
NA61SHINE preliminary
-h
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[P∆
06
08
1
12
NA61SHINE preliminary
+h
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[PΣ
09
1
11
12
NA61SHINE preliminary
+h
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structures which could be related to CP are visible
∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems
1) Bose-Einsteinstatistics of pion gas2) negative M (pT )vs N correlationleads to the sameinequalitiesMGorenstein KGrebieszkow PRC
89034903
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1723
Comparison with Pb+Pb results from NA49
To compare results of pT fluctuations NA49 cuts were applied toNA61SHINE dataIn NA49bull because of high density of tracks analysis was limited toforward-rapidity region (11 lt yπ lt 26)bull to exclude elastically scattered or diffractively produced protonsanalysis was limited in proton rapidity (yp lt ybeam minus 05)bull 0005 lt pT lt 15 GeVcbull common azimuthal acceptance for all energies (only for energydependence analysis)
T Anticic et al (NA49 Collaboration) PRC 92 no4044905
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1823
∆Σ[PT N] energy dependence40Ar+45Sc vs Pb+Pb (NA49 acceptance)
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
Sc 0-5 in NA49 acc45Ar+40
Pb+Pb 0-72 (NA49)
Results for 40Ar+45Sc collisions are very close to Pb+Pb No prominentstructures which could be related to CP are visible
∆[PT N] lt 1 and Σ[PT N] is consistent with 1 for both systemsT Anticic et al (NA49 Collaboration) PRC 92 no4044905
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1923
∆Σ[PT N] energy dependence40Ar+45Sc vs Pb+Pb (NA49 acceptance)
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
Sc 0-5 in NA49 acc45Ar+40
Pb+Pb 0-72 (NA49)
No prominent structureswhich could be relatedto CP are visible
∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems
T Anticic et al (NA49 Collaboration) PRC 92 no4044905
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2023
∆Σ[PT N] system size dependenceNA49 acceptance
rangWlang1 10 210 310
N]
T[P∆
06
08
1
12
14 -+h+h
NA61SHINE preliminary
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -+h+h
NA61SHINE preliminary
150-158A GeVc
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -+h+h
NA61SHINE preliminary
p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)
p+p in NA49 acc
Be+Be in NA49 acc
Ar+Sc 0-5 in NA49 acc
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -+h+h
NA61SHINE preliminary
p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)
p+p in NA49 acc
Be+Be in NA49 acc
Ar+Sc 0-5 in NA49 acc
No prominent structures which could be related to CP are visible
∆[PT N] is more sensitive to centrality selection than Σ[PT N]
T Anticic et al (NA49 Collaboration) PRC 92 no4044905
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2123
∆Σ[PT N] system size dependenceNA49 acceptance
rangWlang1 10 210 310
N]
T[P∆
06
08
1
12
14 -h
NA61SHINE preliminary
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -h
NA61SHINE preliminary
rangWlang1 10 210 310
N]
T[P∆
06
08
1
12
14 +h
NA61SHINE preliminary
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 +h
NA61SHINE preliminary
150-158A GeVc
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -+h+h
NA61SHINE preliminary
p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)
p+p in NA49 acc
Be+Be in NA49 acc
Ar+Sc 0-5 in NA49 acc
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -+h+h
NA61SHINE preliminary
p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)
p+p in NA49 acc
Be+Be in NA49 acc
Ar+Sc 0-5 in NA49 acc
No prominent structureswhich could be relatedto CP are visible
∆[PT N] for less centralcollisions (C+C Si+Si)deviates stronger fromother measurementsthan Σ[PT N]
T Anticic et al (NA49 Collaboration)
PRC 92 no4044905
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2223
Conclusions - 1
bull Preliminary results on PT vs N fluctuations for forward energyselected 40Ar+45Sc collisions with particles produced in strong andEM processes within the NA61SHINE acceptance atradicsNN = 612 762 876 1194 1683 GeV were reported
bull Uncorrected and corrected measurements of strongly intensivequantities ∆[PT N] and Σ[PT N] were shown
bull The results were compared with 1) the NA61SHINE data onp+p and 7Be+9Be collisions 2) the NA49 data on p+p C+CSi+Si and Pb+Pb collisions 3) the predictions of the EPOS199model
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2323
Conclusions - 2
bull No clear indications of CP in strongly intensive PT vs N fluctuationmeasures were observedbull Analyses more sensitive to CP (intermittency higher momentsidentified particle ratio fluctuations etc) of the NA61SHINE are inprogressbull See dedicated NA61SHINE talks on higher moments by MMackowiak-Pawlowska and on intermittency by N Davis on Friday
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[P∆
06
08
1
12
NA61SHINE preliminary
-+h+h
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[PΣ
09
1
11
12
NA61SHINE preliminary
-+h+h
Waiting for p+Pb Xe+La and Pb+Pb
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2423
evgenyandronovcernch
Thank You
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2523
Back-up
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2623
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2723
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2823
LMPD
Four large volume Time Projection Chambers (TPCs) VTPC-1 VTPC-2 (inside superconducting magnets) MTPC-L MTPC-R measurement of dEdx and p Time of Flight (ToF) detector walls
Projectile Spectator Detector (PSD) for centrality measurement (energy of projectile spectators) and determination of reaction plane resolution of 1 nucleon () in the studied energy range (important for fluctuation analysis)
Helium beam pipes inside VTPC-1 and VTPC-2 (to reduce -electrons)
Z-detector (measures ion charge for on-line selection of secondary ions A-detector (measures mass composition of secondary ion beam)
Low Momentum Particle Detector (LMPD) for centrality determination in p+A measures target nucleus spectators
PSD
Large acceptance asymp 50 High momentum resolution σ(p)p2asymp10-4(GeVc)-1 (at full B=9 T∙m) ToF walls resolution ToF-LR σ(t)asymp60 ps ToF-F σ(t)asymp120 ps Good particle identification σ(dEdx)ltdEdxgtasymp004 σ(minv)asymp5 MeV
High detector efficiency gt 95 Event rate 70 eventssec
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2923
Centrality determinationDue to the differences in magnetic field PSD position and Fermimotion for various energies different set of modules is chosen tocalculate the EF
Centrality selection in Ar+Sc collisionsProjectile Spectator Detector
Due to the differences in magnetic field and PSD position for variousenergies different set of modules is chosen to calculate the EF
13 AGeVc 19 AGeVc 30 AGeVc
40 AGeVc 75 AGeVc 150 AGeVc
The module sets are chosen on the basis of corelations between energyand multiplicity for each module
5 1The module sets are chosen on the basis of corelations betweenenergy and multiplicity for each module
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3023
Statistics40Ar+ 45Sc 0minus 5 0 lt yπ lt ybeam
Event stats 19 30 40 75 150
Total 21M 31M 19M 41M 28M
Selected 01M 02M 01M 05M 01M
Track stats 19 30 40 75 150
Total 22M 54M 35M 156M 55M
Selected 5M 11M 8M 37M 15M
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3123
[PT N] fluctuations
PT =sumN
i=1 pTi
∆[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ]minus 〈PT 〉ω[N])
Σ[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ] + 〈PT 〉ω[N]minus 2cov(PT N))
Here
ω[PT ] =〈P2
T 〉minus〈PT 〉2〈PT 〉 〈〉 - average over all events
ω[N] = 〈N2〉minus〈N〉2〈N〉
ω[pT ] =p2TminuspT 2
pT middot - average over all particles
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3223
∆Σ[PT N] effect of correctionsp+p vs 7Be+9Be
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
p+p uncorrectedp+p corrected
Be 0-5 uncorrected9Be+7 Be 0-5 corrected9Be+7
Corrections are larger for ∆[PT N] in p+p and for Σ[PT N] in 7Be+9Be
SI fluctuation measures do not change their energy dependence after corrections
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3323
∆Σ[PT N] acceptance dependencep+p
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
p+p full NA61 acc
beamp+p 0ltylty
Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]
Energy dependence trend is the same for full and limited acceptance
Systematic uncertainties for limited acceptance are expected to be ofabout uncertainties for full acceptance
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3423
∆Σ[PT N] acceptance dependencep+p
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
p+p full NA61 acc
beamp+p 0ltylty
Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]
∆[PT N] and Σ[PT N]changes due toacceptance are morepronounced for positivelycharged hadrons
It can be indication ofstronger ∆++ resonancedecay contribution forfull acceptance case
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3523
∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc
Centrality classes from 0minus 1 to 0minus 10
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
30A GeVc
30A GeVc EPOS199
Σ[PT N] is less centrality dependent than ∆[PT N] both in data and inthe EPOS199 model
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3623
∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12+h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
30A GeVc
30A GeVc EPOS199
The EPOS199 modeldescribes better∆[PT N] for negativelycharged hadrons andΣ[PT N] for positivelycharged hadrons
Σ[PT N] is lesscentrality dependentthan ∆[PT N] fornegatively and positivelycharged hadrons
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3723
∆Σ[PT N] energy dependence for 2 centrality classes40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
Corrected 0-5
Corrected 0-1
Σ[PT N] is less centrality dependent than ∆[PT N]
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3823
Centrality dependence
centrality
] - N
T[PΣ
] or
-
NT
[P∆]
or
-[N
ω
1
10
0-5 0-10 0-15 0-20
UrQMD 33 20A GeVneg charged
]-[Nω]- N
T[P∆
]- NT
[PΣ
(a)
centrality
] - N
T[PΣ
] or
-
NT
[P∆]
or
-[N
ω
1
10
0-5 0-10 0-15 0-20
UrQMD 33 20A GeVneg charged
lt 2π
0 lt y
]-[Nω]- N
T[P∆
]- NT
[PΣ
(b)
Figure 5 (Color online) The UrQMD results for the centrality dependence of ω[Nminus] (squares)
∆[PT Nminus] (circles) and Σ[PT Nminus] (triangles) in Pb+Pb collisions at Elab = 20A GeV A centrality
selection is done with a restriction on the impact parameter b (a) The full 4π detector acceptance
(b) Only particles with center of mass rapidity in the interval 1 lt yπ lt 2 are accepted (pion mass was
assumed for all particles) Open symbols correspond to the case when 10 of particles was randomly
rejected
and we call it acceptance losses On the other hand even in this accepted kinematic region we
still may have efficiency losses due to track reconstruction problems (including problems with
ionization energy loss dEdx reconstruction)
The UrQMD results for negatively charged particles in Pb+Pb collisions at Elab = 20A GeV
for the full 4π acceptance and for the particles accepted only in the center of mass rapidity
interval 1 lt yπ lt 2 are shown in Fig 5 (a) and (b) respectively (full symbols) From a
comparison of the results for the full and limited detector acceptance one observes rather strong
effects of acceptance losses for the scaled variance ω[Nminus] The strongly intensive measures
∆[PT Nminus] and Σ[PT Nminus] look again more appropriate The effects of the limited acceptance
are rather moderate for ∆[PT Nminus] and almost absent for Σ[PT Nminus] We also would like to stress
that the acceptance dependence shown in Fig 5 is the example only In general the measured
25
MGorenstein KGrebieszkow PRC 89034903
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3923
∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structures which could be related to CP are visible
Systematic uncertainties are under investigation (first estimates - 2 for 3 low
energies and of about 5 for 2 top energies)
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4023
∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structureswhich could be relatedto CP are visible
∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems
Systematic uncertainties
are under investigation
(first estimates - 2 for 3
low energies and of about
5 for 2 top energies)
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4123
Σ[PT N] system size dependence
Linear fit Parabolic fit
10 210
098
1
102
104
106
108
Graph ndf 2χ 4872 4
p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus
ndf 2χ 4872 4p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus
Graph
10 210
098
1
102
104
106
108
Graph ndf 2χ 3119 3
p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus
ndf 2χ 3119 3p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus
Graph
Gaussian fit
10 210
098
1
102
104
106
108
Graph ndf 2χ 3124 3
Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421
ndf 2χ 3124 3Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421
Graph
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4223
Corrections
Corrections for contamination from off-target interactions for40Ar+45Sc were not applied but with applied vertex positionselection they are expected to be less than 1
MMP WUT (NA61SHINE) Quark Matter 2015 Kobe Japan September 20 2015 19 17
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4323
Obtaining 〈W 〉
Glissando MC is based on Glauber model whereas EPOS utilizesparton ladder model
rdquoin our case the inelastic Nucleon-Nucleon cross-section in anucleus is smaller than the corresponding pp cross-section leadingto less binary collisions than in standard Glauberrdquo
Tanguy Pierog core EPOS developer
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4423
Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons
ent
ries
0
100
200
300
400
500
600
700
N0 100 200
[G
eVc
]T
P
0
20
40
60
Mean x 1047Mean y 3454RMS x 1249RMS y 4695
-+h+hNA61SHINE preliminary
]2c2 [GeVT2P0 20 40
]2G
eV2
) [c
T2
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 17RMS 3164
NA61SHINE preliminary
N PT and PT 2 =sumN
i=1 p2Ti are measured for each event
PT 2 is needed to calculate the scaled variance of the inclusive
pT distribution ω[pT ] =p2TminuspT 2
pTusing only event quantities
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4523
Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons
N PT and PT 2 =sumN
i=1 p2Ti are measured for each event
PT 2 is needed to calculate the scaled variance of the inclusive
pT distribution ω[pT ] =p2TminuspT 2
pTusing only event quantities
N0 100 200
P(N
)
5minus10
4minus10
3minus10
2minus10
Mean 1047RMS 1249
NA61SHINE preliminary
[GeVc]TP0 20 40 60
) [c
GeV
]T
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 3453RMS 4701
NA61SHINE preliminary
[GeVc]TNP0 5000 10000 15000
) [c
GeV
]T
P(N
P
7minus10
6minus10
5minus10
4minus10
Mean 3665RMS 8972
NA61SHINE preliminary
]2c2 [GeVT2P0 20 40
]2G
eV2
) [c
T2
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 17RMS 3164
NA61SHINE preliminary
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1623
∆Σ[PT N] energy vs system size scanp+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[P∆
06
08
1
12
NA61SHINE preliminary
-h
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[PΣ
09
1
11
12
NA61SHINE preliminary
-h
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[P∆
06
08
1
12
NA61SHINE preliminary
+h
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[PΣ
09
1
11
12
NA61SHINE preliminary
+h
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structures which could be related to CP are visible
∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems
1) Bose-Einsteinstatistics of pion gas2) negative M (pT )vs N correlationleads to the sameinequalitiesMGorenstein KGrebieszkow PRC
89034903
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1723
Comparison with Pb+Pb results from NA49
To compare results of pT fluctuations NA49 cuts were applied toNA61SHINE dataIn NA49bull because of high density of tracks analysis was limited toforward-rapidity region (11 lt yπ lt 26)bull to exclude elastically scattered or diffractively produced protonsanalysis was limited in proton rapidity (yp lt ybeam minus 05)bull 0005 lt pT lt 15 GeVcbull common azimuthal acceptance for all energies (only for energydependence analysis)
T Anticic et al (NA49 Collaboration) PRC 92 no4044905
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1823
∆Σ[PT N] energy dependence40Ar+45Sc vs Pb+Pb (NA49 acceptance)
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
Sc 0-5 in NA49 acc45Ar+40
Pb+Pb 0-72 (NA49)
Results for 40Ar+45Sc collisions are very close to Pb+Pb No prominentstructures which could be related to CP are visible
∆[PT N] lt 1 and Σ[PT N] is consistent with 1 for both systemsT Anticic et al (NA49 Collaboration) PRC 92 no4044905
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1923
∆Σ[PT N] energy dependence40Ar+45Sc vs Pb+Pb (NA49 acceptance)
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
Sc 0-5 in NA49 acc45Ar+40
Pb+Pb 0-72 (NA49)
No prominent structureswhich could be relatedto CP are visible
∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems
T Anticic et al (NA49 Collaboration) PRC 92 no4044905
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2023
∆Σ[PT N] system size dependenceNA49 acceptance
rangWlang1 10 210 310
N]
T[P∆
06
08
1
12
14 -+h+h
NA61SHINE preliminary
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -+h+h
NA61SHINE preliminary
150-158A GeVc
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -+h+h
NA61SHINE preliminary
p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)
p+p in NA49 acc
Be+Be in NA49 acc
Ar+Sc 0-5 in NA49 acc
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -+h+h
NA61SHINE preliminary
p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)
p+p in NA49 acc
Be+Be in NA49 acc
Ar+Sc 0-5 in NA49 acc
No prominent structures which could be related to CP are visible
∆[PT N] is more sensitive to centrality selection than Σ[PT N]
T Anticic et al (NA49 Collaboration) PRC 92 no4044905
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2123
∆Σ[PT N] system size dependenceNA49 acceptance
rangWlang1 10 210 310
N]
T[P∆
06
08
1
12
14 -h
NA61SHINE preliminary
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -h
NA61SHINE preliminary
rangWlang1 10 210 310
N]
T[P∆
06
08
1
12
14 +h
NA61SHINE preliminary
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 +h
NA61SHINE preliminary
150-158A GeVc
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -+h+h
NA61SHINE preliminary
p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)
p+p in NA49 acc
Be+Be in NA49 acc
Ar+Sc 0-5 in NA49 acc
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -+h+h
NA61SHINE preliminary
p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)
p+p in NA49 acc
Be+Be in NA49 acc
Ar+Sc 0-5 in NA49 acc
No prominent structureswhich could be relatedto CP are visible
∆[PT N] for less centralcollisions (C+C Si+Si)deviates stronger fromother measurementsthan Σ[PT N]
T Anticic et al (NA49 Collaboration)
PRC 92 no4044905
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2223
Conclusions - 1
bull Preliminary results on PT vs N fluctuations for forward energyselected 40Ar+45Sc collisions with particles produced in strong andEM processes within the NA61SHINE acceptance atradicsNN = 612 762 876 1194 1683 GeV were reported
bull Uncorrected and corrected measurements of strongly intensivequantities ∆[PT N] and Σ[PT N] were shown
bull The results were compared with 1) the NA61SHINE data onp+p and 7Be+9Be collisions 2) the NA49 data on p+p C+CSi+Si and Pb+Pb collisions 3) the predictions of the EPOS199model
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2323
Conclusions - 2
bull No clear indications of CP in strongly intensive PT vs N fluctuationmeasures were observedbull Analyses more sensitive to CP (intermittency higher momentsidentified particle ratio fluctuations etc) of the NA61SHINE are inprogressbull See dedicated NA61SHINE talks on higher moments by MMackowiak-Pawlowska and on intermittency by N Davis on Friday
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[P∆
06
08
1
12
NA61SHINE preliminary
-+h+h
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[PΣ
09
1
11
12
NA61SHINE preliminary
-+h+h
Waiting for p+Pb Xe+La and Pb+Pb
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2423
evgenyandronovcernch
Thank You
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2523
Back-up
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2623
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2723
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2823
LMPD
Four large volume Time Projection Chambers (TPCs) VTPC-1 VTPC-2 (inside superconducting magnets) MTPC-L MTPC-R measurement of dEdx and p Time of Flight (ToF) detector walls
Projectile Spectator Detector (PSD) for centrality measurement (energy of projectile spectators) and determination of reaction plane resolution of 1 nucleon () in the studied energy range (important for fluctuation analysis)
Helium beam pipes inside VTPC-1 and VTPC-2 (to reduce -electrons)
Z-detector (measures ion charge for on-line selection of secondary ions A-detector (measures mass composition of secondary ion beam)
Low Momentum Particle Detector (LMPD) for centrality determination in p+A measures target nucleus spectators
PSD
Large acceptance asymp 50 High momentum resolution σ(p)p2asymp10-4(GeVc)-1 (at full B=9 T∙m) ToF walls resolution ToF-LR σ(t)asymp60 ps ToF-F σ(t)asymp120 ps Good particle identification σ(dEdx)ltdEdxgtasymp004 σ(minv)asymp5 MeV
High detector efficiency gt 95 Event rate 70 eventssec
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2923
Centrality determinationDue to the differences in magnetic field PSD position and Fermimotion for various energies different set of modules is chosen tocalculate the EF
Centrality selection in Ar+Sc collisionsProjectile Spectator Detector
Due to the differences in magnetic field and PSD position for variousenergies different set of modules is chosen to calculate the EF
13 AGeVc 19 AGeVc 30 AGeVc
40 AGeVc 75 AGeVc 150 AGeVc
The module sets are chosen on the basis of corelations between energyand multiplicity for each module
5 1The module sets are chosen on the basis of corelations betweenenergy and multiplicity for each module
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3023
Statistics40Ar+ 45Sc 0minus 5 0 lt yπ lt ybeam
Event stats 19 30 40 75 150
Total 21M 31M 19M 41M 28M
Selected 01M 02M 01M 05M 01M
Track stats 19 30 40 75 150
Total 22M 54M 35M 156M 55M
Selected 5M 11M 8M 37M 15M
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3123
[PT N] fluctuations
PT =sumN
i=1 pTi
∆[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ]minus 〈PT 〉ω[N])
Σ[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ] + 〈PT 〉ω[N]minus 2cov(PT N))
Here
ω[PT ] =〈P2
T 〉minus〈PT 〉2〈PT 〉 〈〉 - average over all events
ω[N] = 〈N2〉minus〈N〉2〈N〉
ω[pT ] =p2TminuspT 2
pT middot - average over all particles
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3223
∆Σ[PT N] effect of correctionsp+p vs 7Be+9Be
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
p+p uncorrectedp+p corrected
Be 0-5 uncorrected9Be+7 Be 0-5 corrected9Be+7
Corrections are larger for ∆[PT N] in p+p and for Σ[PT N] in 7Be+9Be
SI fluctuation measures do not change their energy dependence after corrections
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3323
∆Σ[PT N] acceptance dependencep+p
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
p+p full NA61 acc
beamp+p 0ltylty
Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]
Energy dependence trend is the same for full and limited acceptance
Systematic uncertainties for limited acceptance are expected to be ofabout uncertainties for full acceptance
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3423
∆Σ[PT N] acceptance dependencep+p
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
p+p full NA61 acc
beamp+p 0ltylty
Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]
∆[PT N] and Σ[PT N]changes due toacceptance are morepronounced for positivelycharged hadrons
It can be indication ofstronger ∆++ resonancedecay contribution forfull acceptance case
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3523
∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc
Centrality classes from 0minus 1 to 0minus 10
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
30A GeVc
30A GeVc EPOS199
Σ[PT N] is less centrality dependent than ∆[PT N] both in data and inthe EPOS199 model
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3623
∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12+h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
30A GeVc
30A GeVc EPOS199
The EPOS199 modeldescribes better∆[PT N] for negativelycharged hadrons andΣ[PT N] for positivelycharged hadrons
Σ[PT N] is lesscentrality dependentthan ∆[PT N] fornegatively and positivelycharged hadrons
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3723
∆Σ[PT N] energy dependence for 2 centrality classes40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
Corrected 0-5
Corrected 0-1
Σ[PT N] is less centrality dependent than ∆[PT N]
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3823
Centrality dependence
centrality
] - N
T[PΣ
] or
-
NT
[P∆]
or
-[N
ω
1
10
0-5 0-10 0-15 0-20
UrQMD 33 20A GeVneg charged
]-[Nω]- N
T[P∆
]- NT
[PΣ
(a)
centrality
] - N
T[PΣ
] or
-
NT
[P∆]
or
-[N
ω
1
10
0-5 0-10 0-15 0-20
UrQMD 33 20A GeVneg charged
lt 2π
0 lt y
]-[Nω]- N
T[P∆
]- NT
[PΣ
(b)
Figure 5 (Color online) The UrQMD results for the centrality dependence of ω[Nminus] (squares)
∆[PT Nminus] (circles) and Σ[PT Nminus] (triangles) in Pb+Pb collisions at Elab = 20A GeV A centrality
selection is done with a restriction on the impact parameter b (a) The full 4π detector acceptance
(b) Only particles with center of mass rapidity in the interval 1 lt yπ lt 2 are accepted (pion mass was
assumed for all particles) Open symbols correspond to the case when 10 of particles was randomly
rejected
and we call it acceptance losses On the other hand even in this accepted kinematic region we
still may have efficiency losses due to track reconstruction problems (including problems with
ionization energy loss dEdx reconstruction)
The UrQMD results for negatively charged particles in Pb+Pb collisions at Elab = 20A GeV
for the full 4π acceptance and for the particles accepted only in the center of mass rapidity
interval 1 lt yπ lt 2 are shown in Fig 5 (a) and (b) respectively (full symbols) From a
comparison of the results for the full and limited detector acceptance one observes rather strong
effects of acceptance losses for the scaled variance ω[Nminus] The strongly intensive measures
∆[PT Nminus] and Σ[PT Nminus] look again more appropriate The effects of the limited acceptance
are rather moderate for ∆[PT Nminus] and almost absent for Σ[PT Nminus] We also would like to stress
that the acceptance dependence shown in Fig 5 is the example only In general the measured
25
MGorenstein KGrebieszkow PRC 89034903
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3923
∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structures which could be related to CP are visible
Systematic uncertainties are under investigation (first estimates - 2 for 3 low
energies and of about 5 for 2 top energies)
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4023
∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structureswhich could be relatedto CP are visible
∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems
Systematic uncertainties
are under investigation
(first estimates - 2 for 3
low energies and of about
5 for 2 top energies)
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4123
Σ[PT N] system size dependence
Linear fit Parabolic fit
10 210
098
1
102
104
106
108
Graph ndf 2χ 4872 4
p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus
ndf 2χ 4872 4p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus
Graph
10 210
098
1
102
104
106
108
Graph ndf 2χ 3119 3
p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus
ndf 2χ 3119 3p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus
Graph
Gaussian fit
10 210
098
1
102
104
106
108
Graph ndf 2χ 3124 3
Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421
ndf 2χ 3124 3Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421
Graph
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4223
Corrections
Corrections for contamination from off-target interactions for40Ar+45Sc were not applied but with applied vertex positionselection they are expected to be less than 1
MMP WUT (NA61SHINE) Quark Matter 2015 Kobe Japan September 20 2015 19 17
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4323
Obtaining 〈W 〉
Glissando MC is based on Glauber model whereas EPOS utilizesparton ladder model
rdquoin our case the inelastic Nucleon-Nucleon cross-section in anucleus is smaller than the corresponding pp cross-section leadingto less binary collisions than in standard Glauberrdquo
Tanguy Pierog core EPOS developer
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4423
Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons
ent
ries
0
100
200
300
400
500
600
700
N0 100 200
[G
eVc
]T
P
0
20
40
60
Mean x 1047Mean y 3454RMS x 1249RMS y 4695
-+h+hNA61SHINE preliminary
]2c2 [GeVT2P0 20 40
]2G
eV2
) [c
T2
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 17RMS 3164
NA61SHINE preliminary
N PT and PT 2 =sumN
i=1 p2Ti are measured for each event
PT 2 is needed to calculate the scaled variance of the inclusive
pT distribution ω[pT ] =p2TminuspT 2
pTusing only event quantities
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4523
Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons
N PT and PT 2 =sumN
i=1 p2Ti are measured for each event
PT 2 is needed to calculate the scaled variance of the inclusive
pT distribution ω[pT ] =p2TminuspT 2
pTusing only event quantities
N0 100 200
P(N
)
5minus10
4minus10
3minus10
2minus10
Mean 1047RMS 1249
NA61SHINE preliminary
[GeVc]TP0 20 40 60
) [c
GeV
]T
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 3453RMS 4701
NA61SHINE preliminary
[GeVc]TNP0 5000 10000 15000
) [c
GeV
]T
P(N
P
7minus10
6minus10
5minus10
4minus10
Mean 3665RMS 8972
NA61SHINE preliminary
]2c2 [GeVT2P0 20 40
]2G
eV2
) [c
T2
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 17RMS 3164
NA61SHINE preliminary
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1723
Comparison with Pb+Pb results from NA49
To compare results of pT fluctuations NA49 cuts were applied toNA61SHINE dataIn NA49bull because of high density of tracks analysis was limited toforward-rapidity region (11 lt yπ lt 26)bull to exclude elastically scattered or diffractively produced protonsanalysis was limited in proton rapidity (yp lt ybeam minus 05)bull 0005 lt pT lt 15 GeVcbull common azimuthal acceptance for all energies (only for energydependence analysis)
T Anticic et al (NA49 Collaboration) PRC 92 no4044905
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1823
∆Σ[PT N] energy dependence40Ar+45Sc vs Pb+Pb (NA49 acceptance)
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
Sc 0-5 in NA49 acc45Ar+40
Pb+Pb 0-72 (NA49)
Results for 40Ar+45Sc collisions are very close to Pb+Pb No prominentstructures which could be related to CP are visible
∆[PT N] lt 1 and Σ[PT N] is consistent with 1 for both systemsT Anticic et al (NA49 Collaboration) PRC 92 no4044905
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1923
∆Σ[PT N] energy dependence40Ar+45Sc vs Pb+Pb (NA49 acceptance)
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
Sc 0-5 in NA49 acc45Ar+40
Pb+Pb 0-72 (NA49)
No prominent structureswhich could be relatedto CP are visible
∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems
T Anticic et al (NA49 Collaboration) PRC 92 no4044905
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2023
∆Σ[PT N] system size dependenceNA49 acceptance
rangWlang1 10 210 310
N]
T[P∆
06
08
1
12
14 -+h+h
NA61SHINE preliminary
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -+h+h
NA61SHINE preliminary
150-158A GeVc
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -+h+h
NA61SHINE preliminary
p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)
p+p in NA49 acc
Be+Be in NA49 acc
Ar+Sc 0-5 in NA49 acc
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -+h+h
NA61SHINE preliminary
p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)
p+p in NA49 acc
Be+Be in NA49 acc
Ar+Sc 0-5 in NA49 acc
No prominent structures which could be related to CP are visible
∆[PT N] is more sensitive to centrality selection than Σ[PT N]
T Anticic et al (NA49 Collaboration) PRC 92 no4044905
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2123
∆Σ[PT N] system size dependenceNA49 acceptance
rangWlang1 10 210 310
N]
T[P∆
06
08
1
12
14 -h
NA61SHINE preliminary
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -h
NA61SHINE preliminary
rangWlang1 10 210 310
N]
T[P∆
06
08
1
12
14 +h
NA61SHINE preliminary
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 +h
NA61SHINE preliminary
150-158A GeVc
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -+h+h
NA61SHINE preliminary
p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)
p+p in NA49 acc
Be+Be in NA49 acc
Ar+Sc 0-5 in NA49 acc
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -+h+h
NA61SHINE preliminary
p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)
p+p in NA49 acc
Be+Be in NA49 acc
Ar+Sc 0-5 in NA49 acc
No prominent structureswhich could be relatedto CP are visible
∆[PT N] for less centralcollisions (C+C Si+Si)deviates stronger fromother measurementsthan Σ[PT N]
T Anticic et al (NA49 Collaboration)
PRC 92 no4044905
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2223
Conclusions - 1
bull Preliminary results on PT vs N fluctuations for forward energyselected 40Ar+45Sc collisions with particles produced in strong andEM processes within the NA61SHINE acceptance atradicsNN = 612 762 876 1194 1683 GeV were reported
bull Uncorrected and corrected measurements of strongly intensivequantities ∆[PT N] and Σ[PT N] were shown
bull The results were compared with 1) the NA61SHINE data onp+p and 7Be+9Be collisions 2) the NA49 data on p+p C+CSi+Si and Pb+Pb collisions 3) the predictions of the EPOS199model
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2323
Conclusions - 2
bull No clear indications of CP in strongly intensive PT vs N fluctuationmeasures were observedbull Analyses more sensitive to CP (intermittency higher momentsidentified particle ratio fluctuations etc) of the NA61SHINE are inprogressbull See dedicated NA61SHINE talks on higher moments by MMackowiak-Pawlowska and on intermittency by N Davis on Friday
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[P∆
06
08
1
12
NA61SHINE preliminary
-+h+h
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[PΣ
09
1
11
12
NA61SHINE preliminary
-+h+h
Waiting for p+Pb Xe+La and Pb+Pb
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2423
evgenyandronovcernch
Thank You
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2523
Back-up
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2623
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2723
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2823
LMPD
Four large volume Time Projection Chambers (TPCs) VTPC-1 VTPC-2 (inside superconducting magnets) MTPC-L MTPC-R measurement of dEdx and p Time of Flight (ToF) detector walls
Projectile Spectator Detector (PSD) for centrality measurement (energy of projectile spectators) and determination of reaction plane resolution of 1 nucleon () in the studied energy range (important for fluctuation analysis)
Helium beam pipes inside VTPC-1 and VTPC-2 (to reduce -electrons)
Z-detector (measures ion charge for on-line selection of secondary ions A-detector (measures mass composition of secondary ion beam)
Low Momentum Particle Detector (LMPD) for centrality determination in p+A measures target nucleus spectators
PSD
Large acceptance asymp 50 High momentum resolution σ(p)p2asymp10-4(GeVc)-1 (at full B=9 T∙m) ToF walls resolution ToF-LR σ(t)asymp60 ps ToF-F σ(t)asymp120 ps Good particle identification σ(dEdx)ltdEdxgtasymp004 σ(minv)asymp5 MeV
High detector efficiency gt 95 Event rate 70 eventssec
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2923
Centrality determinationDue to the differences in magnetic field PSD position and Fermimotion for various energies different set of modules is chosen tocalculate the EF
Centrality selection in Ar+Sc collisionsProjectile Spectator Detector
Due to the differences in magnetic field and PSD position for variousenergies different set of modules is chosen to calculate the EF
13 AGeVc 19 AGeVc 30 AGeVc
40 AGeVc 75 AGeVc 150 AGeVc
The module sets are chosen on the basis of corelations between energyand multiplicity for each module
5 1The module sets are chosen on the basis of corelations betweenenergy and multiplicity for each module
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3023
Statistics40Ar+ 45Sc 0minus 5 0 lt yπ lt ybeam
Event stats 19 30 40 75 150
Total 21M 31M 19M 41M 28M
Selected 01M 02M 01M 05M 01M
Track stats 19 30 40 75 150
Total 22M 54M 35M 156M 55M
Selected 5M 11M 8M 37M 15M
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3123
[PT N] fluctuations
PT =sumN
i=1 pTi
∆[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ]minus 〈PT 〉ω[N])
Σ[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ] + 〈PT 〉ω[N]minus 2cov(PT N))
Here
ω[PT ] =〈P2
T 〉minus〈PT 〉2〈PT 〉 〈〉 - average over all events
ω[N] = 〈N2〉minus〈N〉2〈N〉
ω[pT ] =p2TminuspT 2
pT middot - average over all particles
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3223
∆Σ[PT N] effect of correctionsp+p vs 7Be+9Be
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
p+p uncorrectedp+p corrected
Be 0-5 uncorrected9Be+7 Be 0-5 corrected9Be+7
Corrections are larger for ∆[PT N] in p+p and for Σ[PT N] in 7Be+9Be
SI fluctuation measures do not change their energy dependence after corrections
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3323
∆Σ[PT N] acceptance dependencep+p
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
p+p full NA61 acc
beamp+p 0ltylty
Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]
Energy dependence trend is the same for full and limited acceptance
Systematic uncertainties for limited acceptance are expected to be ofabout uncertainties for full acceptance
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3423
∆Σ[PT N] acceptance dependencep+p
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
p+p full NA61 acc
beamp+p 0ltylty
Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]
∆[PT N] and Σ[PT N]changes due toacceptance are morepronounced for positivelycharged hadrons
It can be indication ofstronger ∆++ resonancedecay contribution forfull acceptance case
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3523
∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc
Centrality classes from 0minus 1 to 0minus 10
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
30A GeVc
30A GeVc EPOS199
Σ[PT N] is less centrality dependent than ∆[PT N] both in data and inthe EPOS199 model
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3623
∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12+h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
30A GeVc
30A GeVc EPOS199
The EPOS199 modeldescribes better∆[PT N] for negativelycharged hadrons andΣ[PT N] for positivelycharged hadrons
Σ[PT N] is lesscentrality dependentthan ∆[PT N] fornegatively and positivelycharged hadrons
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3723
∆Σ[PT N] energy dependence for 2 centrality classes40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
Corrected 0-5
Corrected 0-1
Σ[PT N] is less centrality dependent than ∆[PT N]
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3823
Centrality dependence
centrality
] - N
T[PΣ
] or
-
NT
[P∆]
or
-[N
ω
1
10
0-5 0-10 0-15 0-20
UrQMD 33 20A GeVneg charged
]-[Nω]- N
T[P∆
]- NT
[PΣ
(a)
centrality
] - N
T[PΣ
] or
-
NT
[P∆]
or
-[N
ω
1
10
0-5 0-10 0-15 0-20
UrQMD 33 20A GeVneg charged
lt 2π
0 lt y
]-[Nω]- N
T[P∆
]- NT
[PΣ
(b)
Figure 5 (Color online) The UrQMD results for the centrality dependence of ω[Nminus] (squares)
∆[PT Nminus] (circles) and Σ[PT Nminus] (triangles) in Pb+Pb collisions at Elab = 20A GeV A centrality
selection is done with a restriction on the impact parameter b (a) The full 4π detector acceptance
(b) Only particles with center of mass rapidity in the interval 1 lt yπ lt 2 are accepted (pion mass was
assumed for all particles) Open symbols correspond to the case when 10 of particles was randomly
rejected
and we call it acceptance losses On the other hand even in this accepted kinematic region we
still may have efficiency losses due to track reconstruction problems (including problems with
ionization energy loss dEdx reconstruction)
The UrQMD results for negatively charged particles in Pb+Pb collisions at Elab = 20A GeV
for the full 4π acceptance and for the particles accepted only in the center of mass rapidity
interval 1 lt yπ lt 2 are shown in Fig 5 (a) and (b) respectively (full symbols) From a
comparison of the results for the full and limited detector acceptance one observes rather strong
effects of acceptance losses for the scaled variance ω[Nminus] The strongly intensive measures
∆[PT Nminus] and Σ[PT Nminus] look again more appropriate The effects of the limited acceptance
are rather moderate for ∆[PT Nminus] and almost absent for Σ[PT Nminus] We also would like to stress
that the acceptance dependence shown in Fig 5 is the example only In general the measured
25
MGorenstein KGrebieszkow PRC 89034903
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3923
∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structures which could be related to CP are visible
Systematic uncertainties are under investigation (first estimates - 2 for 3 low
energies and of about 5 for 2 top energies)
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4023
∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structureswhich could be relatedto CP are visible
∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems
Systematic uncertainties
are under investigation
(first estimates - 2 for 3
low energies and of about
5 for 2 top energies)
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4123
Σ[PT N] system size dependence
Linear fit Parabolic fit
10 210
098
1
102
104
106
108
Graph ndf 2χ 4872 4
p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus
ndf 2χ 4872 4p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus
Graph
10 210
098
1
102
104
106
108
Graph ndf 2χ 3119 3
p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus
ndf 2χ 3119 3p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus
Graph
Gaussian fit
10 210
098
1
102
104
106
108
Graph ndf 2χ 3124 3
Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421
ndf 2χ 3124 3Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421
Graph
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4223
Corrections
Corrections for contamination from off-target interactions for40Ar+45Sc were not applied but with applied vertex positionselection they are expected to be less than 1
MMP WUT (NA61SHINE) Quark Matter 2015 Kobe Japan September 20 2015 19 17
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4323
Obtaining 〈W 〉
Glissando MC is based on Glauber model whereas EPOS utilizesparton ladder model
rdquoin our case the inelastic Nucleon-Nucleon cross-section in anucleus is smaller than the corresponding pp cross-section leadingto less binary collisions than in standard Glauberrdquo
Tanguy Pierog core EPOS developer
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4423
Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons
ent
ries
0
100
200
300
400
500
600
700
N0 100 200
[G
eVc
]T
P
0
20
40
60
Mean x 1047Mean y 3454RMS x 1249RMS y 4695
-+h+hNA61SHINE preliminary
]2c2 [GeVT2P0 20 40
]2G
eV2
) [c
T2
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 17RMS 3164
NA61SHINE preliminary
N PT and PT 2 =sumN
i=1 p2Ti are measured for each event
PT 2 is needed to calculate the scaled variance of the inclusive
pT distribution ω[pT ] =p2TminuspT 2
pTusing only event quantities
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4523
Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons
N PT and PT 2 =sumN
i=1 p2Ti are measured for each event
PT 2 is needed to calculate the scaled variance of the inclusive
pT distribution ω[pT ] =p2TminuspT 2
pTusing only event quantities
N0 100 200
P(N
)
5minus10
4minus10
3minus10
2minus10
Mean 1047RMS 1249
NA61SHINE preliminary
[GeVc]TP0 20 40 60
) [c
GeV
]T
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 3453RMS 4701
NA61SHINE preliminary
[GeVc]TNP0 5000 10000 15000
) [c
GeV
]T
P(N
P
7minus10
6minus10
5minus10
4minus10
Mean 3665RMS 8972
NA61SHINE preliminary
]2c2 [GeVT2P0 20 40
]2G
eV2
) [c
T2
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 17RMS 3164
NA61SHINE preliminary
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1823
∆Σ[PT N] energy dependence40Ar+45Sc vs Pb+Pb (NA49 acceptance)
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
Sc 0-5 in NA49 acc45Ar+40
Pb+Pb 0-72 (NA49)
Results for 40Ar+45Sc collisions are very close to Pb+Pb No prominentstructures which could be related to CP are visible
∆[PT N] lt 1 and Σ[PT N] is consistent with 1 for both systemsT Anticic et al (NA49 Collaboration) PRC 92 no4044905
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1923
∆Σ[PT N] energy dependence40Ar+45Sc vs Pb+Pb (NA49 acceptance)
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
Sc 0-5 in NA49 acc45Ar+40
Pb+Pb 0-72 (NA49)
No prominent structureswhich could be relatedto CP are visible
∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems
T Anticic et al (NA49 Collaboration) PRC 92 no4044905
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2023
∆Σ[PT N] system size dependenceNA49 acceptance
rangWlang1 10 210 310
N]
T[P∆
06
08
1
12
14 -+h+h
NA61SHINE preliminary
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -+h+h
NA61SHINE preliminary
150-158A GeVc
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -+h+h
NA61SHINE preliminary
p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)
p+p in NA49 acc
Be+Be in NA49 acc
Ar+Sc 0-5 in NA49 acc
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -+h+h
NA61SHINE preliminary
p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)
p+p in NA49 acc
Be+Be in NA49 acc
Ar+Sc 0-5 in NA49 acc
No prominent structures which could be related to CP are visible
∆[PT N] is more sensitive to centrality selection than Σ[PT N]
T Anticic et al (NA49 Collaboration) PRC 92 no4044905
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2123
∆Σ[PT N] system size dependenceNA49 acceptance
rangWlang1 10 210 310
N]
T[P∆
06
08
1
12
14 -h
NA61SHINE preliminary
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -h
NA61SHINE preliminary
rangWlang1 10 210 310
N]
T[P∆
06
08
1
12
14 +h
NA61SHINE preliminary
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 +h
NA61SHINE preliminary
150-158A GeVc
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -+h+h
NA61SHINE preliminary
p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)
p+p in NA49 acc
Be+Be in NA49 acc
Ar+Sc 0-5 in NA49 acc
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -+h+h
NA61SHINE preliminary
p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)
p+p in NA49 acc
Be+Be in NA49 acc
Ar+Sc 0-5 in NA49 acc
No prominent structureswhich could be relatedto CP are visible
∆[PT N] for less centralcollisions (C+C Si+Si)deviates stronger fromother measurementsthan Σ[PT N]
T Anticic et al (NA49 Collaboration)
PRC 92 no4044905
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2223
Conclusions - 1
bull Preliminary results on PT vs N fluctuations for forward energyselected 40Ar+45Sc collisions with particles produced in strong andEM processes within the NA61SHINE acceptance atradicsNN = 612 762 876 1194 1683 GeV were reported
bull Uncorrected and corrected measurements of strongly intensivequantities ∆[PT N] and Σ[PT N] were shown
bull The results were compared with 1) the NA61SHINE data onp+p and 7Be+9Be collisions 2) the NA49 data on p+p C+CSi+Si and Pb+Pb collisions 3) the predictions of the EPOS199model
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2323
Conclusions - 2
bull No clear indications of CP in strongly intensive PT vs N fluctuationmeasures were observedbull Analyses more sensitive to CP (intermittency higher momentsidentified particle ratio fluctuations etc) of the NA61SHINE are inprogressbull See dedicated NA61SHINE talks on higher moments by MMackowiak-Pawlowska and on intermittency by N Davis on Friday
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[P∆
06
08
1
12
NA61SHINE preliminary
-+h+h
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[PΣ
09
1
11
12
NA61SHINE preliminary
-+h+h
Waiting for p+Pb Xe+La and Pb+Pb
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2423
evgenyandronovcernch
Thank You
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2523
Back-up
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2623
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2723
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2823
LMPD
Four large volume Time Projection Chambers (TPCs) VTPC-1 VTPC-2 (inside superconducting magnets) MTPC-L MTPC-R measurement of dEdx and p Time of Flight (ToF) detector walls
Projectile Spectator Detector (PSD) for centrality measurement (energy of projectile spectators) and determination of reaction plane resolution of 1 nucleon () in the studied energy range (important for fluctuation analysis)
Helium beam pipes inside VTPC-1 and VTPC-2 (to reduce -electrons)
Z-detector (measures ion charge for on-line selection of secondary ions A-detector (measures mass composition of secondary ion beam)
Low Momentum Particle Detector (LMPD) for centrality determination in p+A measures target nucleus spectators
PSD
Large acceptance asymp 50 High momentum resolution σ(p)p2asymp10-4(GeVc)-1 (at full B=9 T∙m) ToF walls resolution ToF-LR σ(t)asymp60 ps ToF-F σ(t)asymp120 ps Good particle identification σ(dEdx)ltdEdxgtasymp004 σ(minv)asymp5 MeV
High detector efficiency gt 95 Event rate 70 eventssec
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2923
Centrality determinationDue to the differences in magnetic field PSD position and Fermimotion for various energies different set of modules is chosen tocalculate the EF
Centrality selection in Ar+Sc collisionsProjectile Spectator Detector
Due to the differences in magnetic field and PSD position for variousenergies different set of modules is chosen to calculate the EF
13 AGeVc 19 AGeVc 30 AGeVc
40 AGeVc 75 AGeVc 150 AGeVc
The module sets are chosen on the basis of corelations between energyand multiplicity for each module
5 1The module sets are chosen on the basis of corelations betweenenergy and multiplicity for each module
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3023
Statistics40Ar+ 45Sc 0minus 5 0 lt yπ lt ybeam
Event stats 19 30 40 75 150
Total 21M 31M 19M 41M 28M
Selected 01M 02M 01M 05M 01M
Track stats 19 30 40 75 150
Total 22M 54M 35M 156M 55M
Selected 5M 11M 8M 37M 15M
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3123
[PT N] fluctuations
PT =sumN
i=1 pTi
∆[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ]minus 〈PT 〉ω[N])
Σ[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ] + 〈PT 〉ω[N]minus 2cov(PT N))
Here
ω[PT ] =〈P2
T 〉minus〈PT 〉2〈PT 〉 〈〉 - average over all events
ω[N] = 〈N2〉minus〈N〉2〈N〉
ω[pT ] =p2TminuspT 2
pT middot - average over all particles
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3223
∆Σ[PT N] effect of correctionsp+p vs 7Be+9Be
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
p+p uncorrectedp+p corrected
Be 0-5 uncorrected9Be+7 Be 0-5 corrected9Be+7
Corrections are larger for ∆[PT N] in p+p and for Σ[PT N] in 7Be+9Be
SI fluctuation measures do not change their energy dependence after corrections
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3323
∆Σ[PT N] acceptance dependencep+p
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
p+p full NA61 acc
beamp+p 0ltylty
Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]
Energy dependence trend is the same for full and limited acceptance
Systematic uncertainties for limited acceptance are expected to be ofabout uncertainties for full acceptance
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3423
∆Σ[PT N] acceptance dependencep+p
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
p+p full NA61 acc
beamp+p 0ltylty
Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]
∆[PT N] and Σ[PT N]changes due toacceptance are morepronounced for positivelycharged hadrons
It can be indication ofstronger ∆++ resonancedecay contribution forfull acceptance case
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3523
∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc
Centrality classes from 0minus 1 to 0minus 10
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
30A GeVc
30A GeVc EPOS199
Σ[PT N] is less centrality dependent than ∆[PT N] both in data and inthe EPOS199 model
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3623
∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12+h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
30A GeVc
30A GeVc EPOS199
The EPOS199 modeldescribes better∆[PT N] for negativelycharged hadrons andΣ[PT N] for positivelycharged hadrons
Σ[PT N] is lesscentrality dependentthan ∆[PT N] fornegatively and positivelycharged hadrons
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3723
∆Σ[PT N] energy dependence for 2 centrality classes40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
Corrected 0-5
Corrected 0-1
Σ[PT N] is less centrality dependent than ∆[PT N]
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3823
Centrality dependence
centrality
] - N
T[PΣ
] or
-
NT
[P∆]
or
-[N
ω
1
10
0-5 0-10 0-15 0-20
UrQMD 33 20A GeVneg charged
]-[Nω]- N
T[P∆
]- NT
[PΣ
(a)
centrality
] - N
T[PΣ
] or
-
NT
[P∆]
or
-[N
ω
1
10
0-5 0-10 0-15 0-20
UrQMD 33 20A GeVneg charged
lt 2π
0 lt y
]-[Nω]- N
T[P∆
]- NT
[PΣ
(b)
Figure 5 (Color online) The UrQMD results for the centrality dependence of ω[Nminus] (squares)
∆[PT Nminus] (circles) and Σ[PT Nminus] (triangles) in Pb+Pb collisions at Elab = 20A GeV A centrality
selection is done with a restriction on the impact parameter b (a) The full 4π detector acceptance
(b) Only particles with center of mass rapidity in the interval 1 lt yπ lt 2 are accepted (pion mass was
assumed for all particles) Open symbols correspond to the case when 10 of particles was randomly
rejected
and we call it acceptance losses On the other hand even in this accepted kinematic region we
still may have efficiency losses due to track reconstruction problems (including problems with
ionization energy loss dEdx reconstruction)
The UrQMD results for negatively charged particles in Pb+Pb collisions at Elab = 20A GeV
for the full 4π acceptance and for the particles accepted only in the center of mass rapidity
interval 1 lt yπ lt 2 are shown in Fig 5 (a) and (b) respectively (full symbols) From a
comparison of the results for the full and limited detector acceptance one observes rather strong
effects of acceptance losses for the scaled variance ω[Nminus] The strongly intensive measures
∆[PT Nminus] and Σ[PT Nminus] look again more appropriate The effects of the limited acceptance
are rather moderate for ∆[PT Nminus] and almost absent for Σ[PT Nminus] We also would like to stress
that the acceptance dependence shown in Fig 5 is the example only In general the measured
25
MGorenstein KGrebieszkow PRC 89034903
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3923
∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structures which could be related to CP are visible
Systematic uncertainties are under investigation (first estimates - 2 for 3 low
energies and of about 5 for 2 top energies)
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4023
∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structureswhich could be relatedto CP are visible
∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems
Systematic uncertainties
are under investigation
(first estimates - 2 for 3
low energies and of about
5 for 2 top energies)
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4123
Σ[PT N] system size dependence
Linear fit Parabolic fit
10 210
098
1
102
104
106
108
Graph ndf 2χ 4872 4
p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus
ndf 2χ 4872 4p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus
Graph
10 210
098
1
102
104
106
108
Graph ndf 2χ 3119 3
p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus
ndf 2χ 3119 3p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus
Graph
Gaussian fit
10 210
098
1
102
104
106
108
Graph ndf 2χ 3124 3
Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421
ndf 2χ 3124 3Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421
Graph
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4223
Corrections
Corrections for contamination from off-target interactions for40Ar+45Sc were not applied but with applied vertex positionselection they are expected to be less than 1
MMP WUT (NA61SHINE) Quark Matter 2015 Kobe Japan September 20 2015 19 17
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4323
Obtaining 〈W 〉
Glissando MC is based on Glauber model whereas EPOS utilizesparton ladder model
rdquoin our case the inelastic Nucleon-Nucleon cross-section in anucleus is smaller than the corresponding pp cross-section leadingto less binary collisions than in standard Glauberrdquo
Tanguy Pierog core EPOS developer
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4423
Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons
ent
ries
0
100
200
300
400
500
600
700
N0 100 200
[G
eVc
]T
P
0
20
40
60
Mean x 1047Mean y 3454RMS x 1249RMS y 4695
-+h+hNA61SHINE preliminary
]2c2 [GeVT2P0 20 40
]2G
eV2
) [c
T2
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 17RMS 3164
NA61SHINE preliminary
N PT and PT 2 =sumN
i=1 p2Ti are measured for each event
PT 2 is needed to calculate the scaled variance of the inclusive
pT distribution ω[pT ] =p2TminuspT 2
pTusing only event quantities
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4523
Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons
N PT and PT 2 =sumN
i=1 p2Ti are measured for each event
PT 2 is needed to calculate the scaled variance of the inclusive
pT distribution ω[pT ] =p2TminuspT 2
pTusing only event quantities
N0 100 200
P(N
)
5minus10
4minus10
3minus10
2minus10
Mean 1047RMS 1249
NA61SHINE preliminary
[GeVc]TP0 20 40 60
) [c
GeV
]T
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 3453RMS 4701
NA61SHINE preliminary
[GeVc]TNP0 5000 10000 15000
) [c
GeV
]T
P(N
P
7minus10
6minus10
5minus10
4minus10
Mean 3665RMS 8972
NA61SHINE preliminary
]2c2 [GeVT2P0 20 40
]2G
eV2
) [c
T2
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 17RMS 3164
NA61SHINE preliminary
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
1923
∆Σ[PT N] energy dependence40Ar+45Sc vs Pb+Pb (NA49 acceptance)
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
Sc 0-5 in NA49 acc45Ar+40
Pb+Pb 0-72 (NA49)
No prominent structureswhich could be relatedto CP are visible
∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems
T Anticic et al (NA49 Collaboration) PRC 92 no4044905
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2023
∆Σ[PT N] system size dependenceNA49 acceptance
rangWlang1 10 210 310
N]
T[P∆
06
08
1
12
14 -+h+h
NA61SHINE preliminary
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -+h+h
NA61SHINE preliminary
150-158A GeVc
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -+h+h
NA61SHINE preliminary
p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)
p+p in NA49 acc
Be+Be in NA49 acc
Ar+Sc 0-5 in NA49 acc
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -+h+h
NA61SHINE preliminary
p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)
p+p in NA49 acc
Be+Be in NA49 acc
Ar+Sc 0-5 in NA49 acc
No prominent structures which could be related to CP are visible
∆[PT N] is more sensitive to centrality selection than Σ[PT N]
T Anticic et al (NA49 Collaboration) PRC 92 no4044905
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2123
∆Σ[PT N] system size dependenceNA49 acceptance
rangWlang1 10 210 310
N]
T[P∆
06
08
1
12
14 -h
NA61SHINE preliminary
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -h
NA61SHINE preliminary
rangWlang1 10 210 310
N]
T[P∆
06
08
1
12
14 +h
NA61SHINE preliminary
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 +h
NA61SHINE preliminary
150-158A GeVc
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -+h+h
NA61SHINE preliminary
p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)
p+p in NA49 acc
Be+Be in NA49 acc
Ar+Sc 0-5 in NA49 acc
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -+h+h
NA61SHINE preliminary
p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)
p+p in NA49 acc
Be+Be in NA49 acc
Ar+Sc 0-5 in NA49 acc
No prominent structureswhich could be relatedto CP are visible
∆[PT N] for less centralcollisions (C+C Si+Si)deviates stronger fromother measurementsthan Σ[PT N]
T Anticic et al (NA49 Collaboration)
PRC 92 no4044905
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2223
Conclusions - 1
bull Preliminary results on PT vs N fluctuations for forward energyselected 40Ar+45Sc collisions with particles produced in strong andEM processes within the NA61SHINE acceptance atradicsNN = 612 762 876 1194 1683 GeV were reported
bull Uncorrected and corrected measurements of strongly intensivequantities ∆[PT N] and Σ[PT N] were shown
bull The results were compared with 1) the NA61SHINE data onp+p and 7Be+9Be collisions 2) the NA49 data on p+p C+CSi+Si and Pb+Pb collisions 3) the predictions of the EPOS199model
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2323
Conclusions - 2
bull No clear indications of CP in strongly intensive PT vs N fluctuationmeasures were observedbull Analyses more sensitive to CP (intermittency higher momentsidentified particle ratio fluctuations etc) of the NA61SHINE are inprogressbull See dedicated NA61SHINE talks on higher moments by MMackowiak-Pawlowska and on intermittency by N Davis on Friday
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[P∆
06
08
1
12
NA61SHINE preliminary
-+h+h
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[PΣ
09
1
11
12
NA61SHINE preliminary
-+h+h
Waiting for p+Pb Xe+La and Pb+Pb
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2423
evgenyandronovcernch
Thank You
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2523
Back-up
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2623
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2723
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2823
LMPD
Four large volume Time Projection Chambers (TPCs) VTPC-1 VTPC-2 (inside superconducting magnets) MTPC-L MTPC-R measurement of dEdx and p Time of Flight (ToF) detector walls
Projectile Spectator Detector (PSD) for centrality measurement (energy of projectile spectators) and determination of reaction plane resolution of 1 nucleon () in the studied energy range (important for fluctuation analysis)
Helium beam pipes inside VTPC-1 and VTPC-2 (to reduce -electrons)
Z-detector (measures ion charge for on-line selection of secondary ions A-detector (measures mass composition of secondary ion beam)
Low Momentum Particle Detector (LMPD) for centrality determination in p+A measures target nucleus spectators
PSD
Large acceptance asymp 50 High momentum resolution σ(p)p2asymp10-4(GeVc)-1 (at full B=9 T∙m) ToF walls resolution ToF-LR σ(t)asymp60 ps ToF-F σ(t)asymp120 ps Good particle identification σ(dEdx)ltdEdxgtasymp004 σ(minv)asymp5 MeV
High detector efficiency gt 95 Event rate 70 eventssec
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2923
Centrality determinationDue to the differences in magnetic field PSD position and Fermimotion for various energies different set of modules is chosen tocalculate the EF
Centrality selection in Ar+Sc collisionsProjectile Spectator Detector
Due to the differences in magnetic field and PSD position for variousenergies different set of modules is chosen to calculate the EF
13 AGeVc 19 AGeVc 30 AGeVc
40 AGeVc 75 AGeVc 150 AGeVc
The module sets are chosen on the basis of corelations between energyand multiplicity for each module
5 1The module sets are chosen on the basis of corelations betweenenergy and multiplicity for each module
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3023
Statistics40Ar+ 45Sc 0minus 5 0 lt yπ lt ybeam
Event stats 19 30 40 75 150
Total 21M 31M 19M 41M 28M
Selected 01M 02M 01M 05M 01M
Track stats 19 30 40 75 150
Total 22M 54M 35M 156M 55M
Selected 5M 11M 8M 37M 15M
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3123
[PT N] fluctuations
PT =sumN
i=1 pTi
∆[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ]minus 〈PT 〉ω[N])
Σ[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ] + 〈PT 〉ω[N]minus 2cov(PT N))
Here
ω[PT ] =〈P2
T 〉minus〈PT 〉2〈PT 〉 〈〉 - average over all events
ω[N] = 〈N2〉minus〈N〉2〈N〉
ω[pT ] =p2TminuspT 2
pT middot - average over all particles
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3223
∆Σ[PT N] effect of correctionsp+p vs 7Be+9Be
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
p+p uncorrectedp+p corrected
Be 0-5 uncorrected9Be+7 Be 0-5 corrected9Be+7
Corrections are larger for ∆[PT N] in p+p and for Σ[PT N] in 7Be+9Be
SI fluctuation measures do not change their energy dependence after corrections
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3323
∆Σ[PT N] acceptance dependencep+p
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
p+p full NA61 acc
beamp+p 0ltylty
Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]
Energy dependence trend is the same for full and limited acceptance
Systematic uncertainties for limited acceptance are expected to be ofabout uncertainties for full acceptance
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3423
∆Σ[PT N] acceptance dependencep+p
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
p+p full NA61 acc
beamp+p 0ltylty
Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]
∆[PT N] and Σ[PT N]changes due toacceptance are morepronounced for positivelycharged hadrons
It can be indication ofstronger ∆++ resonancedecay contribution forfull acceptance case
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3523
∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc
Centrality classes from 0minus 1 to 0minus 10
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
30A GeVc
30A GeVc EPOS199
Σ[PT N] is less centrality dependent than ∆[PT N] both in data and inthe EPOS199 model
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3623
∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12+h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
30A GeVc
30A GeVc EPOS199
The EPOS199 modeldescribes better∆[PT N] for negativelycharged hadrons andΣ[PT N] for positivelycharged hadrons
Σ[PT N] is lesscentrality dependentthan ∆[PT N] fornegatively and positivelycharged hadrons
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3723
∆Σ[PT N] energy dependence for 2 centrality classes40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
Corrected 0-5
Corrected 0-1
Σ[PT N] is less centrality dependent than ∆[PT N]
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3823
Centrality dependence
centrality
] - N
T[PΣ
] or
-
NT
[P∆]
or
-[N
ω
1
10
0-5 0-10 0-15 0-20
UrQMD 33 20A GeVneg charged
]-[Nω]- N
T[P∆
]- NT
[PΣ
(a)
centrality
] - N
T[PΣ
] or
-
NT
[P∆]
or
-[N
ω
1
10
0-5 0-10 0-15 0-20
UrQMD 33 20A GeVneg charged
lt 2π
0 lt y
]-[Nω]- N
T[P∆
]- NT
[PΣ
(b)
Figure 5 (Color online) The UrQMD results for the centrality dependence of ω[Nminus] (squares)
∆[PT Nminus] (circles) and Σ[PT Nminus] (triangles) in Pb+Pb collisions at Elab = 20A GeV A centrality
selection is done with a restriction on the impact parameter b (a) The full 4π detector acceptance
(b) Only particles with center of mass rapidity in the interval 1 lt yπ lt 2 are accepted (pion mass was
assumed for all particles) Open symbols correspond to the case when 10 of particles was randomly
rejected
and we call it acceptance losses On the other hand even in this accepted kinematic region we
still may have efficiency losses due to track reconstruction problems (including problems with
ionization energy loss dEdx reconstruction)
The UrQMD results for negatively charged particles in Pb+Pb collisions at Elab = 20A GeV
for the full 4π acceptance and for the particles accepted only in the center of mass rapidity
interval 1 lt yπ lt 2 are shown in Fig 5 (a) and (b) respectively (full symbols) From a
comparison of the results for the full and limited detector acceptance one observes rather strong
effects of acceptance losses for the scaled variance ω[Nminus] The strongly intensive measures
∆[PT Nminus] and Σ[PT Nminus] look again more appropriate The effects of the limited acceptance
are rather moderate for ∆[PT Nminus] and almost absent for Σ[PT Nminus] We also would like to stress
that the acceptance dependence shown in Fig 5 is the example only In general the measured
25
MGorenstein KGrebieszkow PRC 89034903
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3923
∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structures which could be related to CP are visible
Systematic uncertainties are under investigation (first estimates - 2 for 3 low
energies and of about 5 for 2 top energies)
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4023
∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structureswhich could be relatedto CP are visible
∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems
Systematic uncertainties
are under investigation
(first estimates - 2 for 3
low energies and of about
5 for 2 top energies)
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4123
Σ[PT N] system size dependence
Linear fit Parabolic fit
10 210
098
1
102
104
106
108
Graph ndf 2χ 4872 4
p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus
ndf 2χ 4872 4p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus
Graph
10 210
098
1
102
104
106
108
Graph ndf 2χ 3119 3
p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus
ndf 2χ 3119 3p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus
Graph
Gaussian fit
10 210
098
1
102
104
106
108
Graph ndf 2χ 3124 3
Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421
ndf 2χ 3124 3Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421
Graph
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4223
Corrections
Corrections for contamination from off-target interactions for40Ar+45Sc were not applied but with applied vertex positionselection they are expected to be less than 1
MMP WUT (NA61SHINE) Quark Matter 2015 Kobe Japan September 20 2015 19 17
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4323
Obtaining 〈W 〉
Glissando MC is based on Glauber model whereas EPOS utilizesparton ladder model
rdquoin our case the inelastic Nucleon-Nucleon cross-section in anucleus is smaller than the corresponding pp cross-section leadingto less binary collisions than in standard Glauberrdquo
Tanguy Pierog core EPOS developer
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4423
Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons
ent
ries
0
100
200
300
400
500
600
700
N0 100 200
[G
eVc
]T
P
0
20
40
60
Mean x 1047Mean y 3454RMS x 1249RMS y 4695
-+h+hNA61SHINE preliminary
]2c2 [GeVT2P0 20 40
]2G
eV2
) [c
T2
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 17RMS 3164
NA61SHINE preliminary
N PT and PT 2 =sumN
i=1 p2Ti are measured for each event
PT 2 is needed to calculate the scaled variance of the inclusive
pT distribution ω[pT ] =p2TminuspT 2
pTusing only event quantities
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4523
Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons
N PT and PT 2 =sumN
i=1 p2Ti are measured for each event
PT 2 is needed to calculate the scaled variance of the inclusive
pT distribution ω[pT ] =p2TminuspT 2
pTusing only event quantities
N0 100 200
P(N
)
5minus10
4minus10
3minus10
2minus10
Mean 1047RMS 1249
NA61SHINE preliminary
[GeVc]TP0 20 40 60
) [c
GeV
]T
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 3453RMS 4701
NA61SHINE preliminary
[GeVc]TNP0 5000 10000 15000
) [c
GeV
]T
P(N
P
7minus10
6minus10
5minus10
4minus10
Mean 3665RMS 8972
NA61SHINE preliminary
]2c2 [GeVT2P0 20 40
]2G
eV2
) [c
T2
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 17RMS 3164
NA61SHINE preliminary
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2023
∆Σ[PT N] system size dependenceNA49 acceptance
rangWlang1 10 210 310
N]
T[P∆
06
08
1
12
14 -+h+h
NA61SHINE preliminary
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -+h+h
NA61SHINE preliminary
150-158A GeVc
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -+h+h
NA61SHINE preliminary
p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)
p+p in NA49 acc
Be+Be in NA49 acc
Ar+Sc 0-5 in NA49 acc
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -+h+h
NA61SHINE preliminary
p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)
p+p in NA49 acc
Be+Be in NA49 acc
Ar+Sc 0-5 in NA49 acc
No prominent structures which could be related to CP are visible
∆[PT N] is more sensitive to centrality selection than Σ[PT N]
T Anticic et al (NA49 Collaboration) PRC 92 no4044905
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2123
∆Σ[PT N] system size dependenceNA49 acceptance
rangWlang1 10 210 310
N]
T[P∆
06
08
1
12
14 -h
NA61SHINE preliminary
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -h
NA61SHINE preliminary
rangWlang1 10 210 310
N]
T[P∆
06
08
1
12
14 +h
NA61SHINE preliminary
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 +h
NA61SHINE preliminary
150-158A GeVc
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -+h+h
NA61SHINE preliminary
p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)
p+p in NA49 acc
Be+Be in NA49 acc
Ar+Sc 0-5 in NA49 acc
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -+h+h
NA61SHINE preliminary
p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)
p+p in NA49 acc
Be+Be in NA49 acc
Ar+Sc 0-5 in NA49 acc
No prominent structureswhich could be relatedto CP are visible
∆[PT N] for less centralcollisions (C+C Si+Si)deviates stronger fromother measurementsthan Σ[PT N]
T Anticic et al (NA49 Collaboration)
PRC 92 no4044905
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2223
Conclusions - 1
bull Preliminary results on PT vs N fluctuations for forward energyselected 40Ar+45Sc collisions with particles produced in strong andEM processes within the NA61SHINE acceptance atradicsNN = 612 762 876 1194 1683 GeV were reported
bull Uncorrected and corrected measurements of strongly intensivequantities ∆[PT N] and Σ[PT N] were shown
bull The results were compared with 1) the NA61SHINE data onp+p and 7Be+9Be collisions 2) the NA49 data on p+p C+CSi+Si and Pb+Pb collisions 3) the predictions of the EPOS199model
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2323
Conclusions - 2
bull No clear indications of CP in strongly intensive PT vs N fluctuationmeasures were observedbull Analyses more sensitive to CP (intermittency higher momentsidentified particle ratio fluctuations etc) of the NA61SHINE are inprogressbull See dedicated NA61SHINE talks on higher moments by MMackowiak-Pawlowska and on intermittency by N Davis on Friday
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[P∆
06
08
1
12
NA61SHINE preliminary
-+h+h
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[PΣ
09
1
11
12
NA61SHINE preliminary
-+h+h
Waiting for p+Pb Xe+La and Pb+Pb
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2423
evgenyandronovcernch
Thank You
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2523
Back-up
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2623
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2723
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2823
LMPD
Four large volume Time Projection Chambers (TPCs) VTPC-1 VTPC-2 (inside superconducting magnets) MTPC-L MTPC-R measurement of dEdx and p Time of Flight (ToF) detector walls
Projectile Spectator Detector (PSD) for centrality measurement (energy of projectile spectators) and determination of reaction plane resolution of 1 nucleon () in the studied energy range (important for fluctuation analysis)
Helium beam pipes inside VTPC-1 and VTPC-2 (to reduce -electrons)
Z-detector (measures ion charge for on-line selection of secondary ions A-detector (measures mass composition of secondary ion beam)
Low Momentum Particle Detector (LMPD) for centrality determination in p+A measures target nucleus spectators
PSD
Large acceptance asymp 50 High momentum resolution σ(p)p2asymp10-4(GeVc)-1 (at full B=9 T∙m) ToF walls resolution ToF-LR σ(t)asymp60 ps ToF-F σ(t)asymp120 ps Good particle identification σ(dEdx)ltdEdxgtasymp004 σ(minv)asymp5 MeV
High detector efficiency gt 95 Event rate 70 eventssec
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2923
Centrality determinationDue to the differences in magnetic field PSD position and Fermimotion for various energies different set of modules is chosen tocalculate the EF
Centrality selection in Ar+Sc collisionsProjectile Spectator Detector
Due to the differences in magnetic field and PSD position for variousenergies different set of modules is chosen to calculate the EF
13 AGeVc 19 AGeVc 30 AGeVc
40 AGeVc 75 AGeVc 150 AGeVc
The module sets are chosen on the basis of corelations between energyand multiplicity for each module
5 1The module sets are chosen on the basis of corelations betweenenergy and multiplicity for each module
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3023
Statistics40Ar+ 45Sc 0minus 5 0 lt yπ lt ybeam
Event stats 19 30 40 75 150
Total 21M 31M 19M 41M 28M
Selected 01M 02M 01M 05M 01M
Track stats 19 30 40 75 150
Total 22M 54M 35M 156M 55M
Selected 5M 11M 8M 37M 15M
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3123
[PT N] fluctuations
PT =sumN
i=1 pTi
∆[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ]minus 〈PT 〉ω[N])
Σ[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ] + 〈PT 〉ω[N]minus 2cov(PT N))
Here
ω[PT ] =〈P2
T 〉minus〈PT 〉2〈PT 〉 〈〉 - average over all events
ω[N] = 〈N2〉minus〈N〉2〈N〉
ω[pT ] =p2TminuspT 2
pT middot - average over all particles
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3223
∆Σ[PT N] effect of correctionsp+p vs 7Be+9Be
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
p+p uncorrectedp+p corrected
Be 0-5 uncorrected9Be+7 Be 0-5 corrected9Be+7
Corrections are larger for ∆[PT N] in p+p and for Σ[PT N] in 7Be+9Be
SI fluctuation measures do not change their energy dependence after corrections
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3323
∆Σ[PT N] acceptance dependencep+p
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
p+p full NA61 acc
beamp+p 0ltylty
Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]
Energy dependence trend is the same for full and limited acceptance
Systematic uncertainties for limited acceptance are expected to be ofabout uncertainties for full acceptance
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3423
∆Σ[PT N] acceptance dependencep+p
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
p+p full NA61 acc
beamp+p 0ltylty
Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]
∆[PT N] and Σ[PT N]changes due toacceptance are morepronounced for positivelycharged hadrons
It can be indication ofstronger ∆++ resonancedecay contribution forfull acceptance case
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3523
∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc
Centrality classes from 0minus 1 to 0minus 10
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
30A GeVc
30A GeVc EPOS199
Σ[PT N] is less centrality dependent than ∆[PT N] both in data and inthe EPOS199 model
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3623
∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12+h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
30A GeVc
30A GeVc EPOS199
The EPOS199 modeldescribes better∆[PT N] for negativelycharged hadrons andΣ[PT N] for positivelycharged hadrons
Σ[PT N] is lesscentrality dependentthan ∆[PT N] fornegatively and positivelycharged hadrons
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3723
∆Σ[PT N] energy dependence for 2 centrality classes40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
Corrected 0-5
Corrected 0-1
Σ[PT N] is less centrality dependent than ∆[PT N]
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3823
Centrality dependence
centrality
] - N
T[PΣ
] or
-
NT
[P∆]
or
-[N
ω
1
10
0-5 0-10 0-15 0-20
UrQMD 33 20A GeVneg charged
]-[Nω]- N
T[P∆
]- NT
[PΣ
(a)
centrality
] - N
T[PΣ
] or
-
NT
[P∆]
or
-[N
ω
1
10
0-5 0-10 0-15 0-20
UrQMD 33 20A GeVneg charged
lt 2π
0 lt y
]-[Nω]- N
T[P∆
]- NT
[PΣ
(b)
Figure 5 (Color online) The UrQMD results for the centrality dependence of ω[Nminus] (squares)
∆[PT Nminus] (circles) and Σ[PT Nminus] (triangles) in Pb+Pb collisions at Elab = 20A GeV A centrality
selection is done with a restriction on the impact parameter b (a) The full 4π detector acceptance
(b) Only particles with center of mass rapidity in the interval 1 lt yπ lt 2 are accepted (pion mass was
assumed for all particles) Open symbols correspond to the case when 10 of particles was randomly
rejected
and we call it acceptance losses On the other hand even in this accepted kinematic region we
still may have efficiency losses due to track reconstruction problems (including problems with
ionization energy loss dEdx reconstruction)
The UrQMD results for negatively charged particles in Pb+Pb collisions at Elab = 20A GeV
for the full 4π acceptance and for the particles accepted only in the center of mass rapidity
interval 1 lt yπ lt 2 are shown in Fig 5 (a) and (b) respectively (full symbols) From a
comparison of the results for the full and limited detector acceptance one observes rather strong
effects of acceptance losses for the scaled variance ω[Nminus] The strongly intensive measures
∆[PT Nminus] and Σ[PT Nminus] look again more appropriate The effects of the limited acceptance
are rather moderate for ∆[PT Nminus] and almost absent for Σ[PT Nminus] We also would like to stress
that the acceptance dependence shown in Fig 5 is the example only In general the measured
25
MGorenstein KGrebieszkow PRC 89034903
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3923
∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structures which could be related to CP are visible
Systematic uncertainties are under investigation (first estimates - 2 for 3 low
energies and of about 5 for 2 top energies)
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4023
∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structureswhich could be relatedto CP are visible
∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems
Systematic uncertainties
are under investigation
(first estimates - 2 for 3
low energies and of about
5 for 2 top energies)
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4123
Σ[PT N] system size dependence
Linear fit Parabolic fit
10 210
098
1
102
104
106
108
Graph ndf 2χ 4872 4
p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus
ndf 2χ 4872 4p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus
Graph
10 210
098
1
102
104
106
108
Graph ndf 2χ 3119 3
p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus
ndf 2χ 3119 3p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus
Graph
Gaussian fit
10 210
098
1
102
104
106
108
Graph ndf 2χ 3124 3
Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421
ndf 2χ 3124 3Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421
Graph
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4223
Corrections
Corrections for contamination from off-target interactions for40Ar+45Sc were not applied but with applied vertex positionselection they are expected to be less than 1
MMP WUT (NA61SHINE) Quark Matter 2015 Kobe Japan September 20 2015 19 17
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4323
Obtaining 〈W 〉
Glissando MC is based on Glauber model whereas EPOS utilizesparton ladder model
rdquoin our case the inelastic Nucleon-Nucleon cross-section in anucleus is smaller than the corresponding pp cross-section leadingto less binary collisions than in standard Glauberrdquo
Tanguy Pierog core EPOS developer
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4423
Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons
ent
ries
0
100
200
300
400
500
600
700
N0 100 200
[G
eVc
]T
P
0
20
40
60
Mean x 1047Mean y 3454RMS x 1249RMS y 4695
-+h+hNA61SHINE preliminary
]2c2 [GeVT2P0 20 40
]2G
eV2
) [c
T2
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 17RMS 3164
NA61SHINE preliminary
N PT and PT 2 =sumN
i=1 p2Ti are measured for each event
PT 2 is needed to calculate the scaled variance of the inclusive
pT distribution ω[pT ] =p2TminuspT 2
pTusing only event quantities
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4523
Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons
N PT and PT 2 =sumN
i=1 p2Ti are measured for each event
PT 2 is needed to calculate the scaled variance of the inclusive
pT distribution ω[pT ] =p2TminuspT 2
pTusing only event quantities
N0 100 200
P(N
)
5minus10
4minus10
3minus10
2minus10
Mean 1047RMS 1249
NA61SHINE preliminary
[GeVc]TP0 20 40 60
) [c
GeV
]T
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 3453RMS 4701
NA61SHINE preliminary
[GeVc]TNP0 5000 10000 15000
) [c
GeV
]T
P(N
P
7minus10
6minus10
5minus10
4minus10
Mean 3665RMS 8972
NA61SHINE preliminary
]2c2 [GeVT2P0 20 40
]2G
eV2
) [c
T2
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 17RMS 3164
NA61SHINE preliminary
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2123
∆Σ[PT N] system size dependenceNA49 acceptance
rangWlang1 10 210 310
N]
T[P∆
06
08
1
12
14 -h
NA61SHINE preliminary
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -h
NA61SHINE preliminary
rangWlang1 10 210 310
N]
T[P∆
06
08
1
12
14 +h
NA61SHINE preliminary
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 +h
NA61SHINE preliminary
150-158A GeVc
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -+h+h
NA61SHINE preliminary
p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)
p+p in NA49 acc
Be+Be in NA49 acc
Ar+Sc 0-5 in NA49 acc
rangWlang1 10 210 310
N]
T[PΣ
09
1
11 -+h+h
NA61SHINE preliminary
p+p (NA49)C+C 0-153 (NA49)Si+Si 0-122 (NA49)Pb+Pb 0-5 (NA49)
p+p in NA49 acc
Be+Be in NA49 acc
Ar+Sc 0-5 in NA49 acc
No prominent structureswhich could be relatedto CP are visible
∆[PT N] for less centralcollisions (C+C Si+Si)deviates stronger fromother measurementsthan Σ[PT N]
T Anticic et al (NA49 Collaboration)
PRC 92 no4044905
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2223
Conclusions - 1
bull Preliminary results on PT vs N fluctuations for forward energyselected 40Ar+45Sc collisions with particles produced in strong andEM processes within the NA61SHINE acceptance atradicsNN = 612 762 876 1194 1683 GeV were reported
bull Uncorrected and corrected measurements of strongly intensivequantities ∆[PT N] and Σ[PT N] were shown
bull The results were compared with 1) the NA61SHINE data onp+p and 7Be+9Be collisions 2) the NA49 data on p+p C+CSi+Si and Pb+Pb collisions 3) the predictions of the EPOS199model
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2323
Conclusions - 2
bull No clear indications of CP in strongly intensive PT vs N fluctuationmeasures were observedbull Analyses more sensitive to CP (intermittency higher momentsidentified particle ratio fluctuations etc) of the NA61SHINE are inprogressbull See dedicated NA61SHINE talks on higher moments by MMackowiak-Pawlowska and on intermittency by N Davis on Friday
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[P∆
06
08
1
12
NA61SHINE preliminary
-+h+h
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[PΣ
09
1
11
12
NA61SHINE preliminary
-+h+h
Waiting for p+Pb Xe+La and Pb+Pb
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2423
evgenyandronovcernch
Thank You
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2523
Back-up
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2623
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2723
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2823
LMPD
Four large volume Time Projection Chambers (TPCs) VTPC-1 VTPC-2 (inside superconducting magnets) MTPC-L MTPC-R measurement of dEdx and p Time of Flight (ToF) detector walls
Projectile Spectator Detector (PSD) for centrality measurement (energy of projectile spectators) and determination of reaction plane resolution of 1 nucleon () in the studied energy range (important for fluctuation analysis)
Helium beam pipes inside VTPC-1 and VTPC-2 (to reduce -electrons)
Z-detector (measures ion charge for on-line selection of secondary ions A-detector (measures mass composition of secondary ion beam)
Low Momentum Particle Detector (LMPD) for centrality determination in p+A measures target nucleus spectators
PSD
Large acceptance asymp 50 High momentum resolution σ(p)p2asymp10-4(GeVc)-1 (at full B=9 T∙m) ToF walls resolution ToF-LR σ(t)asymp60 ps ToF-F σ(t)asymp120 ps Good particle identification σ(dEdx)ltdEdxgtasymp004 σ(minv)asymp5 MeV
High detector efficiency gt 95 Event rate 70 eventssec
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2923
Centrality determinationDue to the differences in magnetic field PSD position and Fermimotion for various energies different set of modules is chosen tocalculate the EF
Centrality selection in Ar+Sc collisionsProjectile Spectator Detector
Due to the differences in magnetic field and PSD position for variousenergies different set of modules is chosen to calculate the EF
13 AGeVc 19 AGeVc 30 AGeVc
40 AGeVc 75 AGeVc 150 AGeVc
The module sets are chosen on the basis of corelations between energyand multiplicity for each module
5 1The module sets are chosen on the basis of corelations betweenenergy and multiplicity for each module
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3023
Statistics40Ar+ 45Sc 0minus 5 0 lt yπ lt ybeam
Event stats 19 30 40 75 150
Total 21M 31M 19M 41M 28M
Selected 01M 02M 01M 05M 01M
Track stats 19 30 40 75 150
Total 22M 54M 35M 156M 55M
Selected 5M 11M 8M 37M 15M
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3123
[PT N] fluctuations
PT =sumN
i=1 pTi
∆[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ]minus 〈PT 〉ω[N])
Σ[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ] + 〈PT 〉ω[N]minus 2cov(PT N))
Here
ω[PT ] =〈P2
T 〉minus〈PT 〉2〈PT 〉 〈〉 - average over all events
ω[N] = 〈N2〉minus〈N〉2〈N〉
ω[pT ] =p2TminuspT 2
pT middot - average over all particles
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3223
∆Σ[PT N] effect of correctionsp+p vs 7Be+9Be
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
p+p uncorrectedp+p corrected
Be 0-5 uncorrected9Be+7 Be 0-5 corrected9Be+7
Corrections are larger for ∆[PT N] in p+p and for Σ[PT N] in 7Be+9Be
SI fluctuation measures do not change their energy dependence after corrections
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3323
∆Σ[PT N] acceptance dependencep+p
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
p+p full NA61 acc
beamp+p 0ltylty
Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]
Energy dependence trend is the same for full and limited acceptance
Systematic uncertainties for limited acceptance are expected to be ofabout uncertainties for full acceptance
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3423
∆Σ[PT N] acceptance dependencep+p
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
p+p full NA61 acc
beamp+p 0ltylty
Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]
∆[PT N] and Σ[PT N]changes due toacceptance are morepronounced for positivelycharged hadrons
It can be indication ofstronger ∆++ resonancedecay contribution forfull acceptance case
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3523
∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc
Centrality classes from 0minus 1 to 0minus 10
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
30A GeVc
30A GeVc EPOS199
Σ[PT N] is less centrality dependent than ∆[PT N] both in data and inthe EPOS199 model
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3623
∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12+h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
30A GeVc
30A GeVc EPOS199
The EPOS199 modeldescribes better∆[PT N] for negativelycharged hadrons andΣ[PT N] for positivelycharged hadrons
Σ[PT N] is lesscentrality dependentthan ∆[PT N] fornegatively and positivelycharged hadrons
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3723
∆Σ[PT N] energy dependence for 2 centrality classes40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
Corrected 0-5
Corrected 0-1
Σ[PT N] is less centrality dependent than ∆[PT N]
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3823
Centrality dependence
centrality
] - N
T[PΣ
] or
-
NT
[P∆]
or
-[N
ω
1
10
0-5 0-10 0-15 0-20
UrQMD 33 20A GeVneg charged
]-[Nω]- N
T[P∆
]- NT
[PΣ
(a)
centrality
] - N
T[PΣ
] or
-
NT
[P∆]
or
-[N
ω
1
10
0-5 0-10 0-15 0-20
UrQMD 33 20A GeVneg charged
lt 2π
0 lt y
]-[Nω]- N
T[P∆
]- NT
[PΣ
(b)
Figure 5 (Color online) The UrQMD results for the centrality dependence of ω[Nminus] (squares)
∆[PT Nminus] (circles) and Σ[PT Nminus] (triangles) in Pb+Pb collisions at Elab = 20A GeV A centrality
selection is done with a restriction on the impact parameter b (a) The full 4π detector acceptance
(b) Only particles with center of mass rapidity in the interval 1 lt yπ lt 2 are accepted (pion mass was
assumed for all particles) Open symbols correspond to the case when 10 of particles was randomly
rejected
and we call it acceptance losses On the other hand even in this accepted kinematic region we
still may have efficiency losses due to track reconstruction problems (including problems with
ionization energy loss dEdx reconstruction)
The UrQMD results for negatively charged particles in Pb+Pb collisions at Elab = 20A GeV
for the full 4π acceptance and for the particles accepted only in the center of mass rapidity
interval 1 lt yπ lt 2 are shown in Fig 5 (a) and (b) respectively (full symbols) From a
comparison of the results for the full and limited detector acceptance one observes rather strong
effects of acceptance losses for the scaled variance ω[Nminus] The strongly intensive measures
∆[PT Nminus] and Σ[PT Nminus] look again more appropriate The effects of the limited acceptance
are rather moderate for ∆[PT Nminus] and almost absent for Σ[PT Nminus] We also would like to stress
that the acceptance dependence shown in Fig 5 is the example only In general the measured
25
MGorenstein KGrebieszkow PRC 89034903
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3923
∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structures which could be related to CP are visible
Systematic uncertainties are under investigation (first estimates - 2 for 3 low
energies and of about 5 for 2 top energies)
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4023
∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structureswhich could be relatedto CP are visible
∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems
Systematic uncertainties
are under investigation
(first estimates - 2 for 3
low energies and of about
5 for 2 top energies)
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4123
Σ[PT N] system size dependence
Linear fit Parabolic fit
10 210
098
1
102
104
106
108
Graph ndf 2χ 4872 4
p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus
ndf 2χ 4872 4p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus
Graph
10 210
098
1
102
104
106
108
Graph ndf 2χ 3119 3
p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus
ndf 2χ 3119 3p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus
Graph
Gaussian fit
10 210
098
1
102
104
106
108
Graph ndf 2χ 3124 3
Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421
ndf 2χ 3124 3Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421
Graph
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4223
Corrections
Corrections for contamination from off-target interactions for40Ar+45Sc were not applied but with applied vertex positionselection they are expected to be less than 1
MMP WUT (NA61SHINE) Quark Matter 2015 Kobe Japan September 20 2015 19 17
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4323
Obtaining 〈W 〉
Glissando MC is based on Glauber model whereas EPOS utilizesparton ladder model
rdquoin our case the inelastic Nucleon-Nucleon cross-section in anucleus is smaller than the corresponding pp cross-section leadingto less binary collisions than in standard Glauberrdquo
Tanguy Pierog core EPOS developer
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4423
Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons
ent
ries
0
100
200
300
400
500
600
700
N0 100 200
[G
eVc
]T
P
0
20
40
60
Mean x 1047Mean y 3454RMS x 1249RMS y 4695
-+h+hNA61SHINE preliminary
]2c2 [GeVT2P0 20 40
]2G
eV2
) [c
T2
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 17RMS 3164
NA61SHINE preliminary
N PT and PT 2 =sumN
i=1 p2Ti are measured for each event
PT 2 is needed to calculate the scaled variance of the inclusive
pT distribution ω[pT ] =p2TminuspT 2
pTusing only event quantities
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4523
Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons
N PT and PT 2 =sumN
i=1 p2Ti are measured for each event
PT 2 is needed to calculate the scaled variance of the inclusive
pT distribution ω[pT ] =p2TminuspT 2
pTusing only event quantities
N0 100 200
P(N
)
5minus10
4minus10
3minus10
2minus10
Mean 1047RMS 1249
NA61SHINE preliminary
[GeVc]TP0 20 40 60
) [c
GeV
]T
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 3453RMS 4701
NA61SHINE preliminary
[GeVc]TNP0 5000 10000 15000
) [c
GeV
]T
P(N
P
7minus10
6minus10
5minus10
4minus10
Mean 3665RMS 8972
NA61SHINE preliminary
]2c2 [GeVT2P0 20 40
]2G
eV2
) [c
T2
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 17RMS 3164
NA61SHINE preliminary
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2223
Conclusions - 1
bull Preliminary results on PT vs N fluctuations for forward energyselected 40Ar+45Sc collisions with particles produced in strong andEM processes within the NA61SHINE acceptance atradicsNN = 612 762 876 1194 1683 GeV were reported
bull Uncorrected and corrected measurements of strongly intensivequantities ∆[PT N] and Σ[PT N] were shown
bull The results were compared with 1) the NA61SHINE data onp+p and 7Be+9Be collisions 2) the NA49 data on p+p C+CSi+Si and Pb+Pb collisions 3) the predictions of the EPOS199model
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2323
Conclusions - 2
bull No clear indications of CP in strongly intensive PT vs N fluctuationmeasures were observedbull Analyses more sensitive to CP (intermittency higher momentsidentified particle ratio fluctuations etc) of the NA61SHINE are inprogressbull See dedicated NA61SHINE talks on higher moments by MMackowiak-Pawlowska and on intermittency by N Davis on Friday
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[P∆
06
08
1
12
NA61SHINE preliminary
-+h+h
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[PΣ
09
1
11
12
NA61SHINE preliminary
-+h+h
Waiting for p+Pb Xe+La and Pb+Pb
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2423
evgenyandronovcernch
Thank You
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2523
Back-up
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2623
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2723
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2823
LMPD
Four large volume Time Projection Chambers (TPCs) VTPC-1 VTPC-2 (inside superconducting magnets) MTPC-L MTPC-R measurement of dEdx and p Time of Flight (ToF) detector walls
Projectile Spectator Detector (PSD) for centrality measurement (energy of projectile spectators) and determination of reaction plane resolution of 1 nucleon () in the studied energy range (important for fluctuation analysis)
Helium beam pipes inside VTPC-1 and VTPC-2 (to reduce -electrons)
Z-detector (measures ion charge for on-line selection of secondary ions A-detector (measures mass composition of secondary ion beam)
Low Momentum Particle Detector (LMPD) for centrality determination in p+A measures target nucleus spectators
PSD
Large acceptance asymp 50 High momentum resolution σ(p)p2asymp10-4(GeVc)-1 (at full B=9 T∙m) ToF walls resolution ToF-LR σ(t)asymp60 ps ToF-F σ(t)asymp120 ps Good particle identification σ(dEdx)ltdEdxgtasymp004 σ(minv)asymp5 MeV
High detector efficiency gt 95 Event rate 70 eventssec
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2923
Centrality determinationDue to the differences in magnetic field PSD position and Fermimotion for various energies different set of modules is chosen tocalculate the EF
Centrality selection in Ar+Sc collisionsProjectile Spectator Detector
Due to the differences in magnetic field and PSD position for variousenergies different set of modules is chosen to calculate the EF
13 AGeVc 19 AGeVc 30 AGeVc
40 AGeVc 75 AGeVc 150 AGeVc
The module sets are chosen on the basis of corelations between energyand multiplicity for each module
5 1The module sets are chosen on the basis of corelations betweenenergy and multiplicity for each module
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3023
Statistics40Ar+ 45Sc 0minus 5 0 lt yπ lt ybeam
Event stats 19 30 40 75 150
Total 21M 31M 19M 41M 28M
Selected 01M 02M 01M 05M 01M
Track stats 19 30 40 75 150
Total 22M 54M 35M 156M 55M
Selected 5M 11M 8M 37M 15M
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3123
[PT N] fluctuations
PT =sumN
i=1 pTi
∆[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ]minus 〈PT 〉ω[N])
Σ[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ] + 〈PT 〉ω[N]minus 2cov(PT N))
Here
ω[PT ] =〈P2
T 〉minus〈PT 〉2〈PT 〉 〈〉 - average over all events
ω[N] = 〈N2〉minus〈N〉2〈N〉
ω[pT ] =p2TminuspT 2
pT middot - average over all particles
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3223
∆Σ[PT N] effect of correctionsp+p vs 7Be+9Be
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
p+p uncorrectedp+p corrected
Be 0-5 uncorrected9Be+7 Be 0-5 corrected9Be+7
Corrections are larger for ∆[PT N] in p+p and for Σ[PT N] in 7Be+9Be
SI fluctuation measures do not change their energy dependence after corrections
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3323
∆Σ[PT N] acceptance dependencep+p
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
p+p full NA61 acc
beamp+p 0ltylty
Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]
Energy dependence trend is the same for full and limited acceptance
Systematic uncertainties for limited acceptance are expected to be ofabout uncertainties for full acceptance
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3423
∆Σ[PT N] acceptance dependencep+p
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
p+p full NA61 acc
beamp+p 0ltylty
Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]
∆[PT N] and Σ[PT N]changes due toacceptance are morepronounced for positivelycharged hadrons
It can be indication ofstronger ∆++ resonancedecay contribution forfull acceptance case
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3523
∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc
Centrality classes from 0minus 1 to 0minus 10
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
30A GeVc
30A GeVc EPOS199
Σ[PT N] is less centrality dependent than ∆[PT N] both in data and inthe EPOS199 model
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3623
∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12+h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
30A GeVc
30A GeVc EPOS199
The EPOS199 modeldescribes better∆[PT N] for negativelycharged hadrons andΣ[PT N] for positivelycharged hadrons
Σ[PT N] is lesscentrality dependentthan ∆[PT N] fornegatively and positivelycharged hadrons
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3723
∆Σ[PT N] energy dependence for 2 centrality classes40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
Corrected 0-5
Corrected 0-1
Σ[PT N] is less centrality dependent than ∆[PT N]
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3823
Centrality dependence
centrality
] - N
T[PΣ
] or
-
NT
[P∆]
or
-[N
ω
1
10
0-5 0-10 0-15 0-20
UrQMD 33 20A GeVneg charged
]-[Nω]- N
T[P∆
]- NT
[PΣ
(a)
centrality
] - N
T[PΣ
] or
-
NT
[P∆]
or
-[N
ω
1
10
0-5 0-10 0-15 0-20
UrQMD 33 20A GeVneg charged
lt 2π
0 lt y
]-[Nω]- N
T[P∆
]- NT
[PΣ
(b)
Figure 5 (Color online) The UrQMD results for the centrality dependence of ω[Nminus] (squares)
∆[PT Nminus] (circles) and Σ[PT Nminus] (triangles) in Pb+Pb collisions at Elab = 20A GeV A centrality
selection is done with a restriction on the impact parameter b (a) The full 4π detector acceptance
(b) Only particles with center of mass rapidity in the interval 1 lt yπ lt 2 are accepted (pion mass was
assumed for all particles) Open symbols correspond to the case when 10 of particles was randomly
rejected
and we call it acceptance losses On the other hand even in this accepted kinematic region we
still may have efficiency losses due to track reconstruction problems (including problems with
ionization energy loss dEdx reconstruction)
The UrQMD results for negatively charged particles in Pb+Pb collisions at Elab = 20A GeV
for the full 4π acceptance and for the particles accepted only in the center of mass rapidity
interval 1 lt yπ lt 2 are shown in Fig 5 (a) and (b) respectively (full symbols) From a
comparison of the results for the full and limited detector acceptance one observes rather strong
effects of acceptance losses for the scaled variance ω[Nminus] The strongly intensive measures
∆[PT Nminus] and Σ[PT Nminus] look again more appropriate The effects of the limited acceptance
are rather moderate for ∆[PT Nminus] and almost absent for Σ[PT Nminus] We also would like to stress
that the acceptance dependence shown in Fig 5 is the example only In general the measured
25
MGorenstein KGrebieszkow PRC 89034903
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3923
∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structures which could be related to CP are visible
Systematic uncertainties are under investigation (first estimates - 2 for 3 low
energies and of about 5 for 2 top energies)
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4023
∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structureswhich could be relatedto CP are visible
∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems
Systematic uncertainties
are under investigation
(first estimates - 2 for 3
low energies and of about
5 for 2 top energies)
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4123
Σ[PT N] system size dependence
Linear fit Parabolic fit
10 210
098
1
102
104
106
108
Graph ndf 2χ 4872 4
p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus
ndf 2χ 4872 4p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus
Graph
10 210
098
1
102
104
106
108
Graph ndf 2χ 3119 3
p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus
ndf 2χ 3119 3p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus
Graph
Gaussian fit
10 210
098
1
102
104
106
108
Graph ndf 2χ 3124 3
Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421
ndf 2χ 3124 3Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421
Graph
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4223
Corrections
Corrections for contamination from off-target interactions for40Ar+45Sc were not applied but with applied vertex positionselection they are expected to be less than 1
MMP WUT (NA61SHINE) Quark Matter 2015 Kobe Japan September 20 2015 19 17
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4323
Obtaining 〈W 〉
Glissando MC is based on Glauber model whereas EPOS utilizesparton ladder model
rdquoin our case the inelastic Nucleon-Nucleon cross-section in anucleus is smaller than the corresponding pp cross-section leadingto less binary collisions than in standard Glauberrdquo
Tanguy Pierog core EPOS developer
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4423
Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons
ent
ries
0
100
200
300
400
500
600
700
N0 100 200
[G
eVc
]T
P
0
20
40
60
Mean x 1047Mean y 3454RMS x 1249RMS y 4695
-+h+hNA61SHINE preliminary
]2c2 [GeVT2P0 20 40
]2G
eV2
) [c
T2
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 17RMS 3164
NA61SHINE preliminary
N PT and PT 2 =sumN
i=1 p2Ti are measured for each event
PT 2 is needed to calculate the scaled variance of the inclusive
pT distribution ω[pT ] =p2TminuspT 2
pTusing only event quantities
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4523
Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons
N PT and PT 2 =sumN
i=1 p2Ti are measured for each event
PT 2 is needed to calculate the scaled variance of the inclusive
pT distribution ω[pT ] =p2TminuspT 2
pTusing only event quantities
N0 100 200
P(N
)
5minus10
4minus10
3minus10
2minus10
Mean 1047RMS 1249
NA61SHINE preliminary
[GeVc]TP0 20 40 60
) [c
GeV
]T
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 3453RMS 4701
NA61SHINE preliminary
[GeVc]TNP0 5000 10000 15000
) [c
GeV
]T
P(N
P
7minus10
6minus10
5minus10
4minus10
Mean 3665RMS 8972
NA61SHINE preliminary
]2c2 [GeVT2P0 20 40
]2G
eV2
) [c
T2
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 17RMS 3164
NA61SHINE preliminary
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2323
Conclusions - 2
bull No clear indications of CP in strongly intensive PT vs N fluctuationmeasures were observedbull Analyses more sensitive to CP (intermittency higher momentsidentified particle ratio fluctuations etc) of the NA61SHINE are inprogressbull See dedicated NA61SHINE talks on higher moments by MMackowiak-Pawlowska and on intermittency by N Davis on Friday
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[P∆
06
08
1
12
NA61SHINE preliminary
-+h+h
[GeV]NNs8 10 12 14 16
rangWlang 110
N]
T[PΣ
09
1
11
12
NA61SHINE preliminary
-+h+h
Waiting for p+Pb Xe+La and Pb+Pb
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2423
evgenyandronovcernch
Thank You
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2523
Back-up
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2623
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2723
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2823
LMPD
Four large volume Time Projection Chambers (TPCs) VTPC-1 VTPC-2 (inside superconducting magnets) MTPC-L MTPC-R measurement of dEdx and p Time of Flight (ToF) detector walls
Projectile Spectator Detector (PSD) for centrality measurement (energy of projectile spectators) and determination of reaction plane resolution of 1 nucleon () in the studied energy range (important for fluctuation analysis)
Helium beam pipes inside VTPC-1 and VTPC-2 (to reduce -electrons)
Z-detector (measures ion charge for on-line selection of secondary ions A-detector (measures mass composition of secondary ion beam)
Low Momentum Particle Detector (LMPD) for centrality determination in p+A measures target nucleus spectators
PSD
Large acceptance asymp 50 High momentum resolution σ(p)p2asymp10-4(GeVc)-1 (at full B=9 T∙m) ToF walls resolution ToF-LR σ(t)asymp60 ps ToF-F σ(t)asymp120 ps Good particle identification σ(dEdx)ltdEdxgtasymp004 σ(minv)asymp5 MeV
High detector efficiency gt 95 Event rate 70 eventssec
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2923
Centrality determinationDue to the differences in magnetic field PSD position and Fermimotion for various energies different set of modules is chosen tocalculate the EF
Centrality selection in Ar+Sc collisionsProjectile Spectator Detector
Due to the differences in magnetic field and PSD position for variousenergies different set of modules is chosen to calculate the EF
13 AGeVc 19 AGeVc 30 AGeVc
40 AGeVc 75 AGeVc 150 AGeVc
The module sets are chosen on the basis of corelations between energyand multiplicity for each module
5 1The module sets are chosen on the basis of corelations betweenenergy and multiplicity for each module
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3023
Statistics40Ar+ 45Sc 0minus 5 0 lt yπ lt ybeam
Event stats 19 30 40 75 150
Total 21M 31M 19M 41M 28M
Selected 01M 02M 01M 05M 01M
Track stats 19 30 40 75 150
Total 22M 54M 35M 156M 55M
Selected 5M 11M 8M 37M 15M
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3123
[PT N] fluctuations
PT =sumN
i=1 pTi
∆[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ]minus 〈PT 〉ω[N])
Σ[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ] + 〈PT 〉ω[N]minus 2cov(PT N))
Here
ω[PT ] =〈P2
T 〉minus〈PT 〉2〈PT 〉 〈〉 - average over all events
ω[N] = 〈N2〉minus〈N〉2〈N〉
ω[pT ] =p2TminuspT 2
pT middot - average over all particles
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3223
∆Σ[PT N] effect of correctionsp+p vs 7Be+9Be
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
p+p uncorrectedp+p corrected
Be 0-5 uncorrected9Be+7 Be 0-5 corrected9Be+7
Corrections are larger for ∆[PT N] in p+p and for Σ[PT N] in 7Be+9Be
SI fluctuation measures do not change their energy dependence after corrections
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3323
∆Σ[PT N] acceptance dependencep+p
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
p+p full NA61 acc
beamp+p 0ltylty
Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]
Energy dependence trend is the same for full and limited acceptance
Systematic uncertainties for limited acceptance are expected to be ofabout uncertainties for full acceptance
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3423
∆Σ[PT N] acceptance dependencep+p
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
p+p full NA61 acc
beamp+p 0ltylty
Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]
∆[PT N] and Σ[PT N]changes due toacceptance are morepronounced for positivelycharged hadrons
It can be indication ofstronger ∆++ resonancedecay contribution forfull acceptance case
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3523
∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc
Centrality classes from 0minus 1 to 0minus 10
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
30A GeVc
30A GeVc EPOS199
Σ[PT N] is less centrality dependent than ∆[PT N] both in data and inthe EPOS199 model
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3623
∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12+h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
30A GeVc
30A GeVc EPOS199
The EPOS199 modeldescribes better∆[PT N] for negativelycharged hadrons andΣ[PT N] for positivelycharged hadrons
Σ[PT N] is lesscentrality dependentthan ∆[PT N] fornegatively and positivelycharged hadrons
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3723
∆Σ[PT N] energy dependence for 2 centrality classes40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
Corrected 0-5
Corrected 0-1
Σ[PT N] is less centrality dependent than ∆[PT N]
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3823
Centrality dependence
centrality
] - N
T[PΣ
] or
-
NT
[P∆]
or
-[N
ω
1
10
0-5 0-10 0-15 0-20
UrQMD 33 20A GeVneg charged
]-[Nω]- N
T[P∆
]- NT
[PΣ
(a)
centrality
] - N
T[PΣ
] or
-
NT
[P∆]
or
-[N
ω
1
10
0-5 0-10 0-15 0-20
UrQMD 33 20A GeVneg charged
lt 2π
0 lt y
]-[Nω]- N
T[P∆
]- NT
[PΣ
(b)
Figure 5 (Color online) The UrQMD results for the centrality dependence of ω[Nminus] (squares)
∆[PT Nminus] (circles) and Σ[PT Nminus] (triangles) in Pb+Pb collisions at Elab = 20A GeV A centrality
selection is done with a restriction on the impact parameter b (a) The full 4π detector acceptance
(b) Only particles with center of mass rapidity in the interval 1 lt yπ lt 2 are accepted (pion mass was
assumed for all particles) Open symbols correspond to the case when 10 of particles was randomly
rejected
and we call it acceptance losses On the other hand even in this accepted kinematic region we
still may have efficiency losses due to track reconstruction problems (including problems with
ionization energy loss dEdx reconstruction)
The UrQMD results for negatively charged particles in Pb+Pb collisions at Elab = 20A GeV
for the full 4π acceptance and for the particles accepted only in the center of mass rapidity
interval 1 lt yπ lt 2 are shown in Fig 5 (a) and (b) respectively (full symbols) From a
comparison of the results for the full and limited detector acceptance one observes rather strong
effects of acceptance losses for the scaled variance ω[Nminus] The strongly intensive measures
∆[PT Nminus] and Σ[PT Nminus] look again more appropriate The effects of the limited acceptance
are rather moderate for ∆[PT Nminus] and almost absent for Σ[PT Nminus] We also would like to stress
that the acceptance dependence shown in Fig 5 is the example only In general the measured
25
MGorenstein KGrebieszkow PRC 89034903
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3923
∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structures which could be related to CP are visible
Systematic uncertainties are under investigation (first estimates - 2 for 3 low
energies and of about 5 for 2 top energies)
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4023
∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structureswhich could be relatedto CP are visible
∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems
Systematic uncertainties
are under investigation
(first estimates - 2 for 3
low energies and of about
5 for 2 top energies)
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4123
Σ[PT N] system size dependence
Linear fit Parabolic fit
10 210
098
1
102
104
106
108
Graph ndf 2χ 4872 4
p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus
ndf 2χ 4872 4p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus
Graph
10 210
098
1
102
104
106
108
Graph ndf 2χ 3119 3
p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus
ndf 2χ 3119 3p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus
Graph
Gaussian fit
10 210
098
1
102
104
106
108
Graph ndf 2χ 3124 3
Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421
ndf 2χ 3124 3Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421
Graph
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4223
Corrections
Corrections for contamination from off-target interactions for40Ar+45Sc were not applied but with applied vertex positionselection they are expected to be less than 1
MMP WUT (NA61SHINE) Quark Matter 2015 Kobe Japan September 20 2015 19 17
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4323
Obtaining 〈W 〉
Glissando MC is based on Glauber model whereas EPOS utilizesparton ladder model
rdquoin our case the inelastic Nucleon-Nucleon cross-section in anucleus is smaller than the corresponding pp cross-section leadingto less binary collisions than in standard Glauberrdquo
Tanguy Pierog core EPOS developer
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4423
Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons
ent
ries
0
100
200
300
400
500
600
700
N0 100 200
[G
eVc
]T
P
0
20
40
60
Mean x 1047Mean y 3454RMS x 1249RMS y 4695
-+h+hNA61SHINE preliminary
]2c2 [GeVT2P0 20 40
]2G
eV2
) [c
T2
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 17RMS 3164
NA61SHINE preliminary
N PT and PT 2 =sumN
i=1 p2Ti are measured for each event
PT 2 is needed to calculate the scaled variance of the inclusive
pT distribution ω[pT ] =p2TminuspT 2
pTusing only event quantities
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4523
Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons
N PT and PT 2 =sumN
i=1 p2Ti are measured for each event
PT 2 is needed to calculate the scaled variance of the inclusive
pT distribution ω[pT ] =p2TminuspT 2
pTusing only event quantities
N0 100 200
P(N
)
5minus10
4minus10
3minus10
2minus10
Mean 1047RMS 1249
NA61SHINE preliminary
[GeVc]TP0 20 40 60
) [c
GeV
]T
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 3453RMS 4701
NA61SHINE preliminary
[GeVc]TNP0 5000 10000 15000
) [c
GeV
]T
P(N
P
7minus10
6minus10
5minus10
4minus10
Mean 3665RMS 8972
NA61SHINE preliminary
]2c2 [GeVT2P0 20 40
]2G
eV2
) [c
T2
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 17RMS 3164
NA61SHINE preliminary
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2423
evgenyandronovcernch
Thank You
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2523
Back-up
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2623
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2723
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2823
LMPD
Four large volume Time Projection Chambers (TPCs) VTPC-1 VTPC-2 (inside superconducting magnets) MTPC-L MTPC-R measurement of dEdx and p Time of Flight (ToF) detector walls
Projectile Spectator Detector (PSD) for centrality measurement (energy of projectile spectators) and determination of reaction plane resolution of 1 nucleon () in the studied energy range (important for fluctuation analysis)
Helium beam pipes inside VTPC-1 and VTPC-2 (to reduce -electrons)
Z-detector (measures ion charge for on-line selection of secondary ions A-detector (measures mass composition of secondary ion beam)
Low Momentum Particle Detector (LMPD) for centrality determination in p+A measures target nucleus spectators
PSD
Large acceptance asymp 50 High momentum resolution σ(p)p2asymp10-4(GeVc)-1 (at full B=9 T∙m) ToF walls resolution ToF-LR σ(t)asymp60 ps ToF-F σ(t)asymp120 ps Good particle identification σ(dEdx)ltdEdxgtasymp004 σ(minv)asymp5 MeV
High detector efficiency gt 95 Event rate 70 eventssec
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2923
Centrality determinationDue to the differences in magnetic field PSD position and Fermimotion for various energies different set of modules is chosen tocalculate the EF
Centrality selection in Ar+Sc collisionsProjectile Spectator Detector
Due to the differences in magnetic field and PSD position for variousenergies different set of modules is chosen to calculate the EF
13 AGeVc 19 AGeVc 30 AGeVc
40 AGeVc 75 AGeVc 150 AGeVc
The module sets are chosen on the basis of corelations between energyand multiplicity for each module
5 1The module sets are chosen on the basis of corelations betweenenergy and multiplicity for each module
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3023
Statistics40Ar+ 45Sc 0minus 5 0 lt yπ lt ybeam
Event stats 19 30 40 75 150
Total 21M 31M 19M 41M 28M
Selected 01M 02M 01M 05M 01M
Track stats 19 30 40 75 150
Total 22M 54M 35M 156M 55M
Selected 5M 11M 8M 37M 15M
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3123
[PT N] fluctuations
PT =sumN
i=1 pTi
∆[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ]minus 〈PT 〉ω[N])
Σ[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ] + 〈PT 〉ω[N]minus 2cov(PT N))
Here
ω[PT ] =〈P2
T 〉minus〈PT 〉2〈PT 〉 〈〉 - average over all events
ω[N] = 〈N2〉minus〈N〉2〈N〉
ω[pT ] =p2TminuspT 2
pT middot - average over all particles
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3223
∆Σ[PT N] effect of correctionsp+p vs 7Be+9Be
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
p+p uncorrectedp+p corrected
Be 0-5 uncorrected9Be+7 Be 0-5 corrected9Be+7
Corrections are larger for ∆[PT N] in p+p and for Σ[PT N] in 7Be+9Be
SI fluctuation measures do not change their energy dependence after corrections
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3323
∆Σ[PT N] acceptance dependencep+p
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
p+p full NA61 acc
beamp+p 0ltylty
Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]
Energy dependence trend is the same for full and limited acceptance
Systematic uncertainties for limited acceptance are expected to be ofabout uncertainties for full acceptance
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3423
∆Σ[PT N] acceptance dependencep+p
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
p+p full NA61 acc
beamp+p 0ltylty
Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]
∆[PT N] and Σ[PT N]changes due toacceptance are morepronounced for positivelycharged hadrons
It can be indication ofstronger ∆++ resonancedecay contribution forfull acceptance case
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3523
∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc
Centrality classes from 0minus 1 to 0minus 10
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
30A GeVc
30A GeVc EPOS199
Σ[PT N] is less centrality dependent than ∆[PT N] both in data and inthe EPOS199 model
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3623
∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12+h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
30A GeVc
30A GeVc EPOS199
The EPOS199 modeldescribes better∆[PT N] for negativelycharged hadrons andΣ[PT N] for positivelycharged hadrons
Σ[PT N] is lesscentrality dependentthan ∆[PT N] fornegatively and positivelycharged hadrons
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3723
∆Σ[PT N] energy dependence for 2 centrality classes40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
Corrected 0-5
Corrected 0-1
Σ[PT N] is less centrality dependent than ∆[PT N]
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3823
Centrality dependence
centrality
] - N
T[PΣ
] or
-
NT
[P∆]
or
-[N
ω
1
10
0-5 0-10 0-15 0-20
UrQMD 33 20A GeVneg charged
]-[Nω]- N
T[P∆
]- NT
[PΣ
(a)
centrality
] - N
T[PΣ
] or
-
NT
[P∆]
or
-[N
ω
1
10
0-5 0-10 0-15 0-20
UrQMD 33 20A GeVneg charged
lt 2π
0 lt y
]-[Nω]- N
T[P∆
]- NT
[PΣ
(b)
Figure 5 (Color online) The UrQMD results for the centrality dependence of ω[Nminus] (squares)
∆[PT Nminus] (circles) and Σ[PT Nminus] (triangles) in Pb+Pb collisions at Elab = 20A GeV A centrality
selection is done with a restriction on the impact parameter b (a) The full 4π detector acceptance
(b) Only particles with center of mass rapidity in the interval 1 lt yπ lt 2 are accepted (pion mass was
assumed for all particles) Open symbols correspond to the case when 10 of particles was randomly
rejected
and we call it acceptance losses On the other hand even in this accepted kinematic region we
still may have efficiency losses due to track reconstruction problems (including problems with
ionization energy loss dEdx reconstruction)
The UrQMD results for negatively charged particles in Pb+Pb collisions at Elab = 20A GeV
for the full 4π acceptance and for the particles accepted only in the center of mass rapidity
interval 1 lt yπ lt 2 are shown in Fig 5 (a) and (b) respectively (full symbols) From a
comparison of the results for the full and limited detector acceptance one observes rather strong
effects of acceptance losses for the scaled variance ω[Nminus] The strongly intensive measures
∆[PT Nminus] and Σ[PT Nminus] look again more appropriate The effects of the limited acceptance
are rather moderate for ∆[PT Nminus] and almost absent for Σ[PT Nminus] We also would like to stress
that the acceptance dependence shown in Fig 5 is the example only In general the measured
25
MGorenstein KGrebieszkow PRC 89034903
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3923
∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structures which could be related to CP are visible
Systematic uncertainties are under investigation (first estimates - 2 for 3 low
energies and of about 5 for 2 top energies)
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4023
∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structureswhich could be relatedto CP are visible
∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems
Systematic uncertainties
are under investigation
(first estimates - 2 for 3
low energies and of about
5 for 2 top energies)
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4123
Σ[PT N] system size dependence
Linear fit Parabolic fit
10 210
098
1
102
104
106
108
Graph ndf 2χ 4872 4
p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus
ndf 2χ 4872 4p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus
Graph
10 210
098
1
102
104
106
108
Graph ndf 2χ 3119 3
p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus
ndf 2χ 3119 3p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus
Graph
Gaussian fit
10 210
098
1
102
104
106
108
Graph ndf 2χ 3124 3
Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421
ndf 2χ 3124 3Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421
Graph
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4223
Corrections
Corrections for contamination from off-target interactions for40Ar+45Sc were not applied but with applied vertex positionselection they are expected to be less than 1
MMP WUT (NA61SHINE) Quark Matter 2015 Kobe Japan September 20 2015 19 17
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4323
Obtaining 〈W 〉
Glissando MC is based on Glauber model whereas EPOS utilizesparton ladder model
rdquoin our case the inelastic Nucleon-Nucleon cross-section in anucleus is smaller than the corresponding pp cross-section leadingto less binary collisions than in standard Glauberrdquo
Tanguy Pierog core EPOS developer
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4423
Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons
ent
ries
0
100
200
300
400
500
600
700
N0 100 200
[G
eVc
]T
P
0
20
40
60
Mean x 1047Mean y 3454RMS x 1249RMS y 4695
-+h+hNA61SHINE preliminary
]2c2 [GeVT2P0 20 40
]2G
eV2
) [c
T2
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 17RMS 3164
NA61SHINE preliminary
N PT and PT 2 =sumN
i=1 p2Ti are measured for each event
PT 2 is needed to calculate the scaled variance of the inclusive
pT distribution ω[pT ] =p2TminuspT 2
pTusing only event quantities
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4523
Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons
N PT and PT 2 =sumN
i=1 p2Ti are measured for each event
PT 2 is needed to calculate the scaled variance of the inclusive
pT distribution ω[pT ] =p2TminuspT 2
pTusing only event quantities
N0 100 200
P(N
)
5minus10
4minus10
3minus10
2minus10
Mean 1047RMS 1249
NA61SHINE preliminary
[GeVc]TP0 20 40 60
) [c
GeV
]T
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 3453RMS 4701
NA61SHINE preliminary
[GeVc]TNP0 5000 10000 15000
) [c
GeV
]T
P(N
P
7minus10
6minus10
5minus10
4minus10
Mean 3665RMS 8972
NA61SHINE preliminary
]2c2 [GeVT2P0 20 40
]2G
eV2
) [c
T2
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 17RMS 3164
NA61SHINE preliminary
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2523
Back-up
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2623
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2723
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2823
LMPD
Four large volume Time Projection Chambers (TPCs) VTPC-1 VTPC-2 (inside superconducting magnets) MTPC-L MTPC-R measurement of dEdx and p Time of Flight (ToF) detector walls
Projectile Spectator Detector (PSD) for centrality measurement (energy of projectile spectators) and determination of reaction plane resolution of 1 nucleon () in the studied energy range (important for fluctuation analysis)
Helium beam pipes inside VTPC-1 and VTPC-2 (to reduce -electrons)
Z-detector (measures ion charge for on-line selection of secondary ions A-detector (measures mass composition of secondary ion beam)
Low Momentum Particle Detector (LMPD) for centrality determination in p+A measures target nucleus spectators
PSD
Large acceptance asymp 50 High momentum resolution σ(p)p2asymp10-4(GeVc)-1 (at full B=9 T∙m) ToF walls resolution ToF-LR σ(t)asymp60 ps ToF-F σ(t)asymp120 ps Good particle identification σ(dEdx)ltdEdxgtasymp004 σ(minv)asymp5 MeV
High detector efficiency gt 95 Event rate 70 eventssec
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2923
Centrality determinationDue to the differences in magnetic field PSD position and Fermimotion for various energies different set of modules is chosen tocalculate the EF
Centrality selection in Ar+Sc collisionsProjectile Spectator Detector
Due to the differences in magnetic field and PSD position for variousenergies different set of modules is chosen to calculate the EF
13 AGeVc 19 AGeVc 30 AGeVc
40 AGeVc 75 AGeVc 150 AGeVc
The module sets are chosen on the basis of corelations between energyand multiplicity for each module
5 1The module sets are chosen on the basis of corelations betweenenergy and multiplicity for each module
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3023
Statistics40Ar+ 45Sc 0minus 5 0 lt yπ lt ybeam
Event stats 19 30 40 75 150
Total 21M 31M 19M 41M 28M
Selected 01M 02M 01M 05M 01M
Track stats 19 30 40 75 150
Total 22M 54M 35M 156M 55M
Selected 5M 11M 8M 37M 15M
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3123
[PT N] fluctuations
PT =sumN
i=1 pTi
∆[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ]minus 〈PT 〉ω[N])
Σ[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ] + 〈PT 〉ω[N]minus 2cov(PT N))
Here
ω[PT ] =〈P2
T 〉minus〈PT 〉2〈PT 〉 〈〉 - average over all events
ω[N] = 〈N2〉minus〈N〉2〈N〉
ω[pT ] =p2TminuspT 2
pT middot - average over all particles
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3223
∆Σ[PT N] effect of correctionsp+p vs 7Be+9Be
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
p+p uncorrectedp+p corrected
Be 0-5 uncorrected9Be+7 Be 0-5 corrected9Be+7
Corrections are larger for ∆[PT N] in p+p and for Σ[PT N] in 7Be+9Be
SI fluctuation measures do not change their energy dependence after corrections
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3323
∆Σ[PT N] acceptance dependencep+p
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
p+p full NA61 acc
beamp+p 0ltylty
Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]
Energy dependence trend is the same for full and limited acceptance
Systematic uncertainties for limited acceptance are expected to be ofabout uncertainties for full acceptance
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3423
∆Σ[PT N] acceptance dependencep+p
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
p+p full NA61 acc
beamp+p 0ltylty
Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]
∆[PT N] and Σ[PT N]changes due toacceptance are morepronounced for positivelycharged hadrons
It can be indication ofstronger ∆++ resonancedecay contribution forfull acceptance case
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3523
∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc
Centrality classes from 0minus 1 to 0minus 10
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
30A GeVc
30A GeVc EPOS199
Σ[PT N] is less centrality dependent than ∆[PT N] both in data and inthe EPOS199 model
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3623
∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12+h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
30A GeVc
30A GeVc EPOS199
The EPOS199 modeldescribes better∆[PT N] for negativelycharged hadrons andΣ[PT N] for positivelycharged hadrons
Σ[PT N] is lesscentrality dependentthan ∆[PT N] fornegatively and positivelycharged hadrons
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3723
∆Σ[PT N] energy dependence for 2 centrality classes40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
Corrected 0-5
Corrected 0-1
Σ[PT N] is less centrality dependent than ∆[PT N]
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3823
Centrality dependence
centrality
] - N
T[PΣ
] or
-
NT
[P∆]
or
-[N
ω
1
10
0-5 0-10 0-15 0-20
UrQMD 33 20A GeVneg charged
]-[Nω]- N
T[P∆
]- NT
[PΣ
(a)
centrality
] - N
T[PΣ
] or
-
NT
[P∆]
or
-[N
ω
1
10
0-5 0-10 0-15 0-20
UrQMD 33 20A GeVneg charged
lt 2π
0 lt y
]-[Nω]- N
T[P∆
]- NT
[PΣ
(b)
Figure 5 (Color online) The UrQMD results for the centrality dependence of ω[Nminus] (squares)
∆[PT Nminus] (circles) and Σ[PT Nminus] (triangles) in Pb+Pb collisions at Elab = 20A GeV A centrality
selection is done with a restriction on the impact parameter b (a) The full 4π detector acceptance
(b) Only particles with center of mass rapidity in the interval 1 lt yπ lt 2 are accepted (pion mass was
assumed for all particles) Open symbols correspond to the case when 10 of particles was randomly
rejected
and we call it acceptance losses On the other hand even in this accepted kinematic region we
still may have efficiency losses due to track reconstruction problems (including problems with
ionization energy loss dEdx reconstruction)
The UrQMD results for negatively charged particles in Pb+Pb collisions at Elab = 20A GeV
for the full 4π acceptance and for the particles accepted only in the center of mass rapidity
interval 1 lt yπ lt 2 are shown in Fig 5 (a) and (b) respectively (full symbols) From a
comparison of the results for the full and limited detector acceptance one observes rather strong
effects of acceptance losses for the scaled variance ω[Nminus] The strongly intensive measures
∆[PT Nminus] and Σ[PT Nminus] look again more appropriate The effects of the limited acceptance
are rather moderate for ∆[PT Nminus] and almost absent for Σ[PT Nminus] We also would like to stress
that the acceptance dependence shown in Fig 5 is the example only In general the measured
25
MGorenstein KGrebieszkow PRC 89034903
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3923
∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structures which could be related to CP are visible
Systematic uncertainties are under investigation (first estimates - 2 for 3 low
energies and of about 5 for 2 top energies)
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4023
∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structureswhich could be relatedto CP are visible
∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems
Systematic uncertainties
are under investigation
(first estimates - 2 for 3
low energies and of about
5 for 2 top energies)
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4123
Σ[PT N] system size dependence
Linear fit Parabolic fit
10 210
098
1
102
104
106
108
Graph ndf 2χ 4872 4
p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus
ndf 2χ 4872 4p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus
Graph
10 210
098
1
102
104
106
108
Graph ndf 2χ 3119 3
p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus
ndf 2χ 3119 3p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus
Graph
Gaussian fit
10 210
098
1
102
104
106
108
Graph ndf 2χ 3124 3
Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421
ndf 2χ 3124 3Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421
Graph
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4223
Corrections
Corrections for contamination from off-target interactions for40Ar+45Sc were not applied but with applied vertex positionselection they are expected to be less than 1
MMP WUT (NA61SHINE) Quark Matter 2015 Kobe Japan September 20 2015 19 17
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4323
Obtaining 〈W 〉
Glissando MC is based on Glauber model whereas EPOS utilizesparton ladder model
rdquoin our case the inelastic Nucleon-Nucleon cross-section in anucleus is smaller than the corresponding pp cross-section leadingto less binary collisions than in standard Glauberrdquo
Tanguy Pierog core EPOS developer
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4423
Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons
ent
ries
0
100
200
300
400
500
600
700
N0 100 200
[G
eVc
]T
P
0
20
40
60
Mean x 1047Mean y 3454RMS x 1249RMS y 4695
-+h+hNA61SHINE preliminary
]2c2 [GeVT2P0 20 40
]2G
eV2
) [c
T2
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 17RMS 3164
NA61SHINE preliminary
N PT and PT 2 =sumN
i=1 p2Ti are measured for each event
PT 2 is needed to calculate the scaled variance of the inclusive
pT distribution ω[pT ] =p2TminuspT 2
pTusing only event quantities
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4523
Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons
N PT and PT 2 =sumN
i=1 p2Ti are measured for each event
PT 2 is needed to calculate the scaled variance of the inclusive
pT distribution ω[pT ] =p2TminuspT 2
pTusing only event quantities
N0 100 200
P(N
)
5minus10
4minus10
3minus10
2minus10
Mean 1047RMS 1249
NA61SHINE preliminary
[GeVc]TP0 20 40 60
) [c
GeV
]T
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 3453RMS 4701
NA61SHINE preliminary
[GeVc]TNP0 5000 10000 15000
) [c
GeV
]T
P(N
P
7minus10
6minus10
5minus10
4minus10
Mean 3665RMS 8972
NA61SHINE preliminary
]2c2 [GeVT2P0 20 40
]2G
eV2
) [c
T2
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 17RMS 3164
NA61SHINE preliminary
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2623
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2723
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2823
LMPD
Four large volume Time Projection Chambers (TPCs) VTPC-1 VTPC-2 (inside superconducting magnets) MTPC-L MTPC-R measurement of dEdx and p Time of Flight (ToF) detector walls
Projectile Spectator Detector (PSD) for centrality measurement (energy of projectile spectators) and determination of reaction plane resolution of 1 nucleon () in the studied energy range (important for fluctuation analysis)
Helium beam pipes inside VTPC-1 and VTPC-2 (to reduce -electrons)
Z-detector (measures ion charge for on-line selection of secondary ions A-detector (measures mass composition of secondary ion beam)
Low Momentum Particle Detector (LMPD) for centrality determination in p+A measures target nucleus spectators
PSD
Large acceptance asymp 50 High momentum resolution σ(p)p2asymp10-4(GeVc)-1 (at full B=9 T∙m) ToF walls resolution ToF-LR σ(t)asymp60 ps ToF-F σ(t)asymp120 ps Good particle identification σ(dEdx)ltdEdxgtasymp004 σ(minv)asymp5 MeV
High detector efficiency gt 95 Event rate 70 eventssec
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2923
Centrality determinationDue to the differences in magnetic field PSD position and Fermimotion for various energies different set of modules is chosen tocalculate the EF
Centrality selection in Ar+Sc collisionsProjectile Spectator Detector
Due to the differences in magnetic field and PSD position for variousenergies different set of modules is chosen to calculate the EF
13 AGeVc 19 AGeVc 30 AGeVc
40 AGeVc 75 AGeVc 150 AGeVc
The module sets are chosen on the basis of corelations between energyand multiplicity for each module
5 1The module sets are chosen on the basis of corelations betweenenergy and multiplicity for each module
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3023
Statistics40Ar+ 45Sc 0minus 5 0 lt yπ lt ybeam
Event stats 19 30 40 75 150
Total 21M 31M 19M 41M 28M
Selected 01M 02M 01M 05M 01M
Track stats 19 30 40 75 150
Total 22M 54M 35M 156M 55M
Selected 5M 11M 8M 37M 15M
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3123
[PT N] fluctuations
PT =sumN
i=1 pTi
∆[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ]minus 〈PT 〉ω[N])
Σ[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ] + 〈PT 〉ω[N]minus 2cov(PT N))
Here
ω[PT ] =〈P2
T 〉minus〈PT 〉2〈PT 〉 〈〉 - average over all events
ω[N] = 〈N2〉minus〈N〉2〈N〉
ω[pT ] =p2TminuspT 2
pT middot - average over all particles
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3223
∆Σ[PT N] effect of correctionsp+p vs 7Be+9Be
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
p+p uncorrectedp+p corrected
Be 0-5 uncorrected9Be+7 Be 0-5 corrected9Be+7
Corrections are larger for ∆[PT N] in p+p and for Σ[PT N] in 7Be+9Be
SI fluctuation measures do not change their energy dependence after corrections
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3323
∆Σ[PT N] acceptance dependencep+p
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
p+p full NA61 acc
beamp+p 0ltylty
Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]
Energy dependence trend is the same for full and limited acceptance
Systematic uncertainties for limited acceptance are expected to be ofabout uncertainties for full acceptance
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3423
∆Σ[PT N] acceptance dependencep+p
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
p+p full NA61 acc
beamp+p 0ltylty
Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]
∆[PT N] and Σ[PT N]changes due toacceptance are morepronounced for positivelycharged hadrons
It can be indication ofstronger ∆++ resonancedecay contribution forfull acceptance case
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3523
∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc
Centrality classes from 0minus 1 to 0minus 10
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
30A GeVc
30A GeVc EPOS199
Σ[PT N] is less centrality dependent than ∆[PT N] both in data and inthe EPOS199 model
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3623
∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12+h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
30A GeVc
30A GeVc EPOS199
The EPOS199 modeldescribes better∆[PT N] for negativelycharged hadrons andΣ[PT N] for positivelycharged hadrons
Σ[PT N] is lesscentrality dependentthan ∆[PT N] fornegatively and positivelycharged hadrons
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3723
∆Σ[PT N] energy dependence for 2 centrality classes40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
Corrected 0-5
Corrected 0-1
Σ[PT N] is less centrality dependent than ∆[PT N]
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3823
Centrality dependence
centrality
] - N
T[PΣ
] or
-
NT
[P∆]
or
-[N
ω
1
10
0-5 0-10 0-15 0-20
UrQMD 33 20A GeVneg charged
]-[Nω]- N
T[P∆
]- NT
[PΣ
(a)
centrality
] - N
T[PΣ
] or
-
NT
[P∆]
or
-[N
ω
1
10
0-5 0-10 0-15 0-20
UrQMD 33 20A GeVneg charged
lt 2π
0 lt y
]-[Nω]- N
T[P∆
]- NT
[PΣ
(b)
Figure 5 (Color online) The UrQMD results for the centrality dependence of ω[Nminus] (squares)
∆[PT Nminus] (circles) and Σ[PT Nminus] (triangles) in Pb+Pb collisions at Elab = 20A GeV A centrality
selection is done with a restriction on the impact parameter b (a) The full 4π detector acceptance
(b) Only particles with center of mass rapidity in the interval 1 lt yπ lt 2 are accepted (pion mass was
assumed for all particles) Open symbols correspond to the case when 10 of particles was randomly
rejected
and we call it acceptance losses On the other hand even in this accepted kinematic region we
still may have efficiency losses due to track reconstruction problems (including problems with
ionization energy loss dEdx reconstruction)
The UrQMD results for negatively charged particles in Pb+Pb collisions at Elab = 20A GeV
for the full 4π acceptance and for the particles accepted only in the center of mass rapidity
interval 1 lt yπ lt 2 are shown in Fig 5 (a) and (b) respectively (full symbols) From a
comparison of the results for the full and limited detector acceptance one observes rather strong
effects of acceptance losses for the scaled variance ω[Nminus] The strongly intensive measures
∆[PT Nminus] and Σ[PT Nminus] look again more appropriate The effects of the limited acceptance
are rather moderate for ∆[PT Nminus] and almost absent for Σ[PT Nminus] We also would like to stress
that the acceptance dependence shown in Fig 5 is the example only In general the measured
25
MGorenstein KGrebieszkow PRC 89034903
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3923
∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structures which could be related to CP are visible
Systematic uncertainties are under investigation (first estimates - 2 for 3 low
energies and of about 5 for 2 top energies)
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4023
∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structureswhich could be relatedto CP are visible
∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems
Systematic uncertainties
are under investigation
(first estimates - 2 for 3
low energies and of about
5 for 2 top energies)
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4123
Σ[PT N] system size dependence
Linear fit Parabolic fit
10 210
098
1
102
104
106
108
Graph ndf 2χ 4872 4
p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus
ndf 2χ 4872 4p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus
Graph
10 210
098
1
102
104
106
108
Graph ndf 2χ 3119 3
p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus
ndf 2χ 3119 3p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus
Graph
Gaussian fit
10 210
098
1
102
104
106
108
Graph ndf 2χ 3124 3
Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421
ndf 2χ 3124 3Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421
Graph
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4223
Corrections
Corrections for contamination from off-target interactions for40Ar+45Sc were not applied but with applied vertex positionselection they are expected to be less than 1
MMP WUT (NA61SHINE) Quark Matter 2015 Kobe Japan September 20 2015 19 17
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4323
Obtaining 〈W 〉
Glissando MC is based on Glauber model whereas EPOS utilizesparton ladder model
rdquoin our case the inelastic Nucleon-Nucleon cross-section in anucleus is smaller than the corresponding pp cross-section leadingto less binary collisions than in standard Glauberrdquo
Tanguy Pierog core EPOS developer
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4423
Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons
ent
ries
0
100
200
300
400
500
600
700
N0 100 200
[G
eVc
]T
P
0
20
40
60
Mean x 1047Mean y 3454RMS x 1249RMS y 4695
-+h+hNA61SHINE preliminary
]2c2 [GeVT2P0 20 40
]2G
eV2
) [c
T2
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 17RMS 3164
NA61SHINE preliminary
N PT and PT 2 =sumN
i=1 p2Ti are measured for each event
PT 2 is needed to calculate the scaled variance of the inclusive
pT distribution ω[pT ] =p2TminuspT 2
pTusing only event quantities
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4523
Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons
N PT and PT 2 =sumN
i=1 p2Ti are measured for each event
PT 2 is needed to calculate the scaled variance of the inclusive
pT distribution ω[pT ] =p2TminuspT 2
pTusing only event quantities
N0 100 200
P(N
)
5minus10
4minus10
3minus10
2minus10
Mean 1047RMS 1249
NA61SHINE preliminary
[GeVc]TP0 20 40 60
) [c
GeV
]T
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 3453RMS 4701
NA61SHINE preliminary
[GeVc]TNP0 5000 10000 15000
) [c
GeV
]T
P(N
P
7minus10
6minus10
5minus10
4minus10
Mean 3665RMS 8972
NA61SHINE preliminary
]2c2 [GeVT2P0 20 40
]2G
eV2
) [c
T2
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 17RMS 3164
NA61SHINE preliminary
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2723
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2823
LMPD
Four large volume Time Projection Chambers (TPCs) VTPC-1 VTPC-2 (inside superconducting magnets) MTPC-L MTPC-R measurement of dEdx and p Time of Flight (ToF) detector walls
Projectile Spectator Detector (PSD) for centrality measurement (energy of projectile spectators) and determination of reaction plane resolution of 1 nucleon () in the studied energy range (important for fluctuation analysis)
Helium beam pipes inside VTPC-1 and VTPC-2 (to reduce -electrons)
Z-detector (measures ion charge for on-line selection of secondary ions A-detector (measures mass composition of secondary ion beam)
Low Momentum Particle Detector (LMPD) for centrality determination in p+A measures target nucleus spectators
PSD
Large acceptance asymp 50 High momentum resolution σ(p)p2asymp10-4(GeVc)-1 (at full B=9 T∙m) ToF walls resolution ToF-LR σ(t)asymp60 ps ToF-F σ(t)asymp120 ps Good particle identification σ(dEdx)ltdEdxgtasymp004 σ(minv)asymp5 MeV
High detector efficiency gt 95 Event rate 70 eventssec
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2923
Centrality determinationDue to the differences in magnetic field PSD position and Fermimotion for various energies different set of modules is chosen tocalculate the EF
Centrality selection in Ar+Sc collisionsProjectile Spectator Detector
Due to the differences in magnetic field and PSD position for variousenergies different set of modules is chosen to calculate the EF
13 AGeVc 19 AGeVc 30 AGeVc
40 AGeVc 75 AGeVc 150 AGeVc
The module sets are chosen on the basis of corelations between energyand multiplicity for each module
5 1The module sets are chosen on the basis of corelations betweenenergy and multiplicity for each module
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3023
Statistics40Ar+ 45Sc 0minus 5 0 lt yπ lt ybeam
Event stats 19 30 40 75 150
Total 21M 31M 19M 41M 28M
Selected 01M 02M 01M 05M 01M
Track stats 19 30 40 75 150
Total 22M 54M 35M 156M 55M
Selected 5M 11M 8M 37M 15M
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3123
[PT N] fluctuations
PT =sumN
i=1 pTi
∆[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ]minus 〈PT 〉ω[N])
Σ[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ] + 〈PT 〉ω[N]minus 2cov(PT N))
Here
ω[PT ] =〈P2
T 〉minus〈PT 〉2〈PT 〉 〈〉 - average over all events
ω[N] = 〈N2〉minus〈N〉2〈N〉
ω[pT ] =p2TminuspT 2
pT middot - average over all particles
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3223
∆Σ[PT N] effect of correctionsp+p vs 7Be+9Be
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
p+p uncorrectedp+p corrected
Be 0-5 uncorrected9Be+7 Be 0-5 corrected9Be+7
Corrections are larger for ∆[PT N] in p+p and for Σ[PT N] in 7Be+9Be
SI fluctuation measures do not change their energy dependence after corrections
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3323
∆Σ[PT N] acceptance dependencep+p
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
p+p full NA61 acc
beamp+p 0ltylty
Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]
Energy dependence trend is the same for full and limited acceptance
Systematic uncertainties for limited acceptance are expected to be ofabout uncertainties for full acceptance
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3423
∆Σ[PT N] acceptance dependencep+p
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
p+p full NA61 acc
beamp+p 0ltylty
Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]
∆[PT N] and Σ[PT N]changes due toacceptance are morepronounced for positivelycharged hadrons
It can be indication ofstronger ∆++ resonancedecay contribution forfull acceptance case
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3523
∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc
Centrality classes from 0minus 1 to 0minus 10
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
30A GeVc
30A GeVc EPOS199
Σ[PT N] is less centrality dependent than ∆[PT N] both in data and inthe EPOS199 model
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3623
∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12+h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
30A GeVc
30A GeVc EPOS199
The EPOS199 modeldescribes better∆[PT N] for negativelycharged hadrons andΣ[PT N] for positivelycharged hadrons
Σ[PT N] is lesscentrality dependentthan ∆[PT N] fornegatively and positivelycharged hadrons
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3723
∆Σ[PT N] energy dependence for 2 centrality classes40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
Corrected 0-5
Corrected 0-1
Σ[PT N] is less centrality dependent than ∆[PT N]
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3823
Centrality dependence
centrality
] - N
T[PΣ
] or
-
NT
[P∆]
or
-[N
ω
1
10
0-5 0-10 0-15 0-20
UrQMD 33 20A GeVneg charged
]-[Nω]- N
T[P∆
]- NT
[PΣ
(a)
centrality
] - N
T[PΣ
] or
-
NT
[P∆]
or
-[N
ω
1
10
0-5 0-10 0-15 0-20
UrQMD 33 20A GeVneg charged
lt 2π
0 lt y
]-[Nω]- N
T[P∆
]- NT
[PΣ
(b)
Figure 5 (Color online) The UrQMD results for the centrality dependence of ω[Nminus] (squares)
∆[PT Nminus] (circles) and Σ[PT Nminus] (triangles) in Pb+Pb collisions at Elab = 20A GeV A centrality
selection is done with a restriction on the impact parameter b (a) The full 4π detector acceptance
(b) Only particles with center of mass rapidity in the interval 1 lt yπ lt 2 are accepted (pion mass was
assumed for all particles) Open symbols correspond to the case when 10 of particles was randomly
rejected
and we call it acceptance losses On the other hand even in this accepted kinematic region we
still may have efficiency losses due to track reconstruction problems (including problems with
ionization energy loss dEdx reconstruction)
The UrQMD results for negatively charged particles in Pb+Pb collisions at Elab = 20A GeV
for the full 4π acceptance and for the particles accepted only in the center of mass rapidity
interval 1 lt yπ lt 2 are shown in Fig 5 (a) and (b) respectively (full symbols) From a
comparison of the results for the full and limited detector acceptance one observes rather strong
effects of acceptance losses for the scaled variance ω[Nminus] The strongly intensive measures
∆[PT Nminus] and Σ[PT Nminus] look again more appropriate The effects of the limited acceptance
are rather moderate for ∆[PT Nminus] and almost absent for Σ[PT Nminus] We also would like to stress
that the acceptance dependence shown in Fig 5 is the example only In general the measured
25
MGorenstein KGrebieszkow PRC 89034903
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3923
∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structures which could be related to CP are visible
Systematic uncertainties are under investigation (first estimates - 2 for 3 low
energies and of about 5 for 2 top energies)
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4023
∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structureswhich could be relatedto CP are visible
∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems
Systematic uncertainties
are under investigation
(first estimates - 2 for 3
low energies and of about
5 for 2 top energies)
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4123
Σ[PT N] system size dependence
Linear fit Parabolic fit
10 210
098
1
102
104
106
108
Graph ndf 2χ 4872 4
p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus
ndf 2χ 4872 4p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus
Graph
10 210
098
1
102
104
106
108
Graph ndf 2χ 3119 3
p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus
ndf 2χ 3119 3p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus
Graph
Gaussian fit
10 210
098
1
102
104
106
108
Graph ndf 2χ 3124 3
Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421
ndf 2χ 3124 3Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421
Graph
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4223
Corrections
Corrections for contamination from off-target interactions for40Ar+45Sc were not applied but with applied vertex positionselection they are expected to be less than 1
MMP WUT (NA61SHINE) Quark Matter 2015 Kobe Japan September 20 2015 19 17
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4323
Obtaining 〈W 〉
Glissando MC is based on Glauber model whereas EPOS utilizesparton ladder model
rdquoin our case the inelastic Nucleon-Nucleon cross-section in anucleus is smaller than the corresponding pp cross-section leadingto less binary collisions than in standard Glauberrdquo
Tanguy Pierog core EPOS developer
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4423
Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons
ent
ries
0
100
200
300
400
500
600
700
N0 100 200
[G
eVc
]T
P
0
20
40
60
Mean x 1047Mean y 3454RMS x 1249RMS y 4695
-+h+hNA61SHINE preliminary
]2c2 [GeVT2P0 20 40
]2G
eV2
) [c
T2
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 17RMS 3164
NA61SHINE preliminary
N PT and PT 2 =sumN
i=1 p2Ti are measured for each event
PT 2 is needed to calculate the scaled variance of the inclusive
pT distribution ω[pT ] =p2TminuspT 2
pTusing only event quantities
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4523
Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons
N PT and PT 2 =sumN
i=1 p2Ti are measured for each event
PT 2 is needed to calculate the scaled variance of the inclusive
pT distribution ω[pT ] =p2TminuspT 2
pTusing only event quantities
N0 100 200
P(N
)
5minus10
4minus10
3minus10
2minus10
Mean 1047RMS 1249
NA61SHINE preliminary
[GeVc]TP0 20 40 60
) [c
GeV
]T
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 3453RMS 4701
NA61SHINE preliminary
[GeVc]TNP0 5000 10000 15000
) [c
GeV
]T
P(N
P
7minus10
6minus10
5minus10
4minus10
Mean 3665RMS 8972
NA61SHINE preliminary
]2c2 [GeVT2P0 20 40
]2G
eV2
) [c
T2
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 17RMS 3164
NA61SHINE preliminary
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2823
LMPD
Four large volume Time Projection Chambers (TPCs) VTPC-1 VTPC-2 (inside superconducting magnets) MTPC-L MTPC-R measurement of dEdx and p Time of Flight (ToF) detector walls
Projectile Spectator Detector (PSD) for centrality measurement (energy of projectile spectators) and determination of reaction plane resolution of 1 nucleon () in the studied energy range (important for fluctuation analysis)
Helium beam pipes inside VTPC-1 and VTPC-2 (to reduce -electrons)
Z-detector (measures ion charge for on-line selection of secondary ions A-detector (measures mass composition of secondary ion beam)
Low Momentum Particle Detector (LMPD) for centrality determination in p+A measures target nucleus spectators
PSD
Large acceptance asymp 50 High momentum resolution σ(p)p2asymp10-4(GeVc)-1 (at full B=9 T∙m) ToF walls resolution ToF-LR σ(t)asymp60 ps ToF-F σ(t)asymp120 ps Good particle identification σ(dEdx)ltdEdxgtasymp004 σ(minv)asymp5 MeV
High detector efficiency gt 95 Event rate 70 eventssec
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2923
Centrality determinationDue to the differences in magnetic field PSD position and Fermimotion for various energies different set of modules is chosen tocalculate the EF
Centrality selection in Ar+Sc collisionsProjectile Spectator Detector
Due to the differences in magnetic field and PSD position for variousenergies different set of modules is chosen to calculate the EF
13 AGeVc 19 AGeVc 30 AGeVc
40 AGeVc 75 AGeVc 150 AGeVc
The module sets are chosen on the basis of corelations between energyand multiplicity for each module
5 1The module sets are chosen on the basis of corelations betweenenergy and multiplicity for each module
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3023
Statistics40Ar+ 45Sc 0minus 5 0 lt yπ lt ybeam
Event stats 19 30 40 75 150
Total 21M 31M 19M 41M 28M
Selected 01M 02M 01M 05M 01M
Track stats 19 30 40 75 150
Total 22M 54M 35M 156M 55M
Selected 5M 11M 8M 37M 15M
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3123
[PT N] fluctuations
PT =sumN
i=1 pTi
∆[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ]minus 〈PT 〉ω[N])
Σ[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ] + 〈PT 〉ω[N]minus 2cov(PT N))
Here
ω[PT ] =〈P2
T 〉minus〈PT 〉2〈PT 〉 〈〉 - average over all events
ω[N] = 〈N2〉minus〈N〉2〈N〉
ω[pT ] =p2TminuspT 2
pT middot - average over all particles
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3223
∆Σ[PT N] effect of correctionsp+p vs 7Be+9Be
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
p+p uncorrectedp+p corrected
Be 0-5 uncorrected9Be+7 Be 0-5 corrected9Be+7
Corrections are larger for ∆[PT N] in p+p and for Σ[PT N] in 7Be+9Be
SI fluctuation measures do not change their energy dependence after corrections
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3323
∆Σ[PT N] acceptance dependencep+p
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
p+p full NA61 acc
beamp+p 0ltylty
Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]
Energy dependence trend is the same for full and limited acceptance
Systematic uncertainties for limited acceptance are expected to be ofabout uncertainties for full acceptance
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3423
∆Σ[PT N] acceptance dependencep+p
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
p+p full NA61 acc
beamp+p 0ltylty
Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]
∆[PT N] and Σ[PT N]changes due toacceptance are morepronounced for positivelycharged hadrons
It can be indication ofstronger ∆++ resonancedecay contribution forfull acceptance case
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3523
∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc
Centrality classes from 0minus 1 to 0minus 10
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
30A GeVc
30A GeVc EPOS199
Σ[PT N] is less centrality dependent than ∆[PT N] both in data and inthe EPOS199 model
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3623
∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12+h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
30A GeVc
30A GeVc EPOS199
The EPOS199 modeldescribes better∆[PT N] for negativelycharged hadrons andΣ[PT N] for positivelycharged hadrons
Σ[PT N] is lesscentrality dependentthan ∆[PT N] fornegatively and positivelycharged hadrons
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3723
∆Σ[PT N] energy dependence for 2 centrality classes40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
Corrected 0-5
Corrected 0-1
Σ[PT N] is less centrality dependent than ∆[PT N]
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3823
Centrality dependence
centrality
] - N
T[PΣ
] or
-
NT
[P∆]
or
-[N
ω
1
10
0-5 0-10 0-15 0-20
UrQMD 33 20A GeVneg charged
]-[Nω]- N
T[P∆
]- NT
[PΣ
(a)
centrality
] - N
T[PΣ
] or
-
NT
[P∆]
or
-[N
ω
1
10
0-5 0-10 0-15 0-20
UrQMD 33 20A GeVneg charged
lt 2π
0 lt y
]-[Nω]- N
T[P∆
]- NT
[PΣ
(b)
Figure 5 (Color online) The UrQMD results for the centrality dependence of ω[Nminus] (squares)
∆[PT Nminus] (circles) and Σ[PT Nminus] (triangles) in Pb+Pb collisions at Elab = 20A GeV A centrality
selection is done with a restriction on the impact parameter b (a) The full 4π detector acceptance
(b) Only particles with center of mass rapidity in the interval 1 lt yπ lt 2 are accepted (pion mass was
assumed for all particles) Open symbols correspond to the case when 10 of particles was randomly
rejected
and we call it acceptance losses On the other hand even in this accepted kinematic region we
still may have efficiency losses due to track reconstruction problems (including problems with
ionization energy loss dEdx reconstruction)
The UrQMD results for negatively charged particles in Pb+Pb collisions at Elab = 20A GeV
for the full 4π acceptance and for the particles accepted only in the center of mass rapidity
interval 1 lt yπ lt 2 are shown in Fig 5 (a) and (b) respectively (full symbols) From a
comparison of the results for the full and limited detector acceptance one observes rather strong
effects of acceptance losses for the scaled variance ω[Nminus] The strongly intensive measures
∆[PT Nminus] and Σ[PT Nminus] look again more appropriate The effects of the limited acceptance
are rather moderate for ∆[PT Nminus] and almost absent for Σ[PT Nminus] We also would like to stress
that the acceptance dependence shown in Fig 5 is the example only In general the measured
25
MGorenstein KGrebieszkow PRC 89034903
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3923
∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structures which could be related to CP are visible
Systematic uncertainties are under investigation (first estimates - 2 for 3 low
energies and of about 5 for 2 top energies)
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4023
∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structureswhich could be relatedto CP are visible
∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems
Systematic uncertainties
are under investigation
(first estimates - 2 for 3
low energies and of about
5 for 2 top energies)
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4123
Σ[PT N] system size dependence
Linear fit Parabolic fit
10 210
098
1
102
104
106
108
Graph ndf 2χ 4872 4
p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus
ndf 2χ 4872 4p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus
Graph
10 210
098
1
102
104
106
108
Graph ndf 2χ 3119 3
p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus
ndf 2χ 3119 3p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus
Graph
Gaussian fit
10 210
098
1
102
104
106
108
Graph ndf 2χ 3124 3
Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421
ndf 2χ 3124 3Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421
Graph
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4223
Corrections
Corrections for contamination from off-target interactions for40Ar+45Sc were not applied but with applied vertex positionselection they are expected to be less than 1
MMP WUT (NA61SHINE) Quark Matter 2015 Kobe Japan September 20 2015 19 17
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4323
Obtaining 〈W 〉
Glissando MC is based on Glauber model whereas EPOS utilizesparton ladder model
rdquoin our case the inelastic Nucleon-Nucleon cross-section in anucleus is smaller than the corresponding pp cross-section leadingto less binary collisions than in standard Glauberrdquo
Tanguy Pierog core EPOS developer
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4423
Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons
ent
ries
0
100
200
300
400
500
600
700
N0 100 200
[G
eVc
]T
P
0
20
40
60
Mean x 1047Mean y 3454RMS x 1249RMS y 4695
-+h+hNA61SHINE preliminary
]2c2 [GeVT2P0 20 40
]2G
eV2
) [c
T2
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 17RMS 3164
NA61SHINE preliminary
N PT and PT 2 =sumN
i=1 p2Ti are measured for each event
PT 2 is needed to calculate the scaled variance of the inclusive
pT distribution ω[pT ] =p2TminuspT 2
pTusing only event quantities
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4523
Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons
N PT and PT 2 =sumN
i=1 p2Ti are measured for each event
PT 2 is needed to calculate the scaled variance of the inclusive
pT distribution ω[pT ] =p2TminuspT 2
pTusing only event quantities
N0 100 200
P(N
)
5minus10
4minus10
3minus10
2minus10
Mean 1047RMS 1249
NA61SHINE preliminary
[GeVc]TP0 20 40 60
) [c
GeV
]T
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 3453RMS 4701
NA61SHINE preliminary
[GeVc]TNP0 5000 10000 15000
) [c
GeV
]T
P(N
P
7minus10
6minus10
5minus10
4minus10
Mean 3665RMS 8972
NA61SHINE preliminary
]2c2 [GeVT2P0 20 40
]2G
eV2
) [c
T2
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 17RMS 3164
NA61SHINE preliminary
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
2923
Centrality determinationDue to the differences in magnetic field PSD position and Fermimotion for various energies different set of modules is chosen tocalculate the EF
Centrality selection in Ar+Sc collisionsProjectile Spectator Detector
Due to the differences in magnetic field and PSD position for variousenergies different set of modules is chosen to calculate the EF
13 AGeVc 19 AGeVc 30 AGeVc
40 AGeVc 75 AGeVc 150 AGeVc
The module sets are chosen on the basis of corelations between energyand multiplicity for each module
5 1The module sets are chosen on the basis of corelations betweenenergy and multiplicity for each module
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3023
Statistics40Ar+ 45Sc 0minus 5 0 lt yπ lt ybeam
Event stats 19 30 40 75 150
Total 21M 31M 19M 41M 28M
Selected 01M 02M 01M 05M 01M
Track stats 19 30 40 75 150
Total 22M 54M 35M 156M 55M
Selected 5M 11M 8M 37M 15M
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3123
[PT N] fluctuations
PT =sumN
i=1 pTi
∆[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ]minus 〈PT 〉ω[N])
Σ[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ] + 〈PT 〉ω[N]minus 2cov(PT N))
Here
ω[PT ] =〈P2
T 〉minus〈PT 〉2〈PT 〉 〈〉 - average over all events
ω[N] = 〈N2〉minus〈N〉2〈N〉
ω[pT ] =p2TminuspT 2
pT middot - average over all particles
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3223
∆Σ[PT N] effect of correctionsp+p vs 7Be+9Be
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
p+p uncorrectedp+p corrected
Be 0-5 uncorrected9Be+7 Be 0-5 corrected9Be+7
Corrections are larger for ∆[PT N] in p+p and for Σ[PT N] in 7Be+9Be
SI fluctuation measures do not change their energy dependence after corrections
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3323
∆Σ[PT N] acceptance dependencep+p
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
p+p full NA61 acc
beamp+p 0ltylty
Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]
Energy dependence trend is the same for full and limited acceptance
Systematic uncertainties for limited acceptance are expected to be ofabout uncertainties for full acceptance
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3423
∆Σ[PT N] acceptance dependencep+p
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
p+p full NA61 acc
beamp+p 0ltylty
Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]
∆[PT N] and Σ[PT N]changes due toacceptance are morepronounced for positivelycharged hadrons
It can be indication ofstronger ∆++ resonancedecay contribution forfull acceptance case
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3523
∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc
Centrality classes from 0minus 1 to 0minus 10
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
30A GeVc
30A GeVc EPOS199
Σ[PT N] is less centrality dependent than ∆[PT N] both in data and inthe EPOS199 model
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3623
∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12+h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
30A GeVc
30A GeVc EPOS199
The EPOS199 modeldescribes better∆[PT N] for negativelycharged hadrons andΣ[PT N] for positivelycharged hadrons
Σ[PT N] is lesscentrality dependentthan ∆[PT N] fornegatively and positivelycharged hadrons
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3723
∆Σ[PT N] energy dependence for 2 centrality classes40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
Corrected 0-5
Corrected 0-1
Σ[PT N] is less centrality dependent than ∆[PT N]
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3823
Centrality dependence
centrality
] - N
T[PΣ
] or
-
NT
[P∆]
or
-[N
ω
1
10
0-5 0-10 0-15 0-20
UrQMD 33 20A GeVneg charged
]-[Nω]- N
T[P∆
]- NT
[PΣ
(a)
centrality
] - N
T[PΣ
] or
-
NT
[P∆]
or
-[N
ω
1
10
0-5 0-10 0-15 0-20
UrQMD 33 20A GeVneg charged
lt 2π
0 lt y
]-[Nω]- N
T[P∆
]- NT
[PΣ
(b)
Figure 5 (Color online) The UrQMD results for the centrality dependence of ω[Nminus] (squares)
∆[PT Nminus] (circles) and Σ[PT Nminus] (triangles) in Pb+Pb collisions at Elab = 20A GeV A centrality
selection is done with a restriction on the impact parameter b (a) The full 4π detector acceptance
(b) Only particles with center of mass rapidity in the interval 1 lt yπ lt 2 are accepted (pion mass was
assumed for all particles) Open symbols correspond to the case when 10 of particles was randomly
rejected
and we call it acceptance losses On the other hand even in this accepted kinematic region we
still may have efficiency losses due to track reconstruction problems (including problems with
ionization energy loss dEdx reconstruction)
The UrQMD results for negatively charged particles in Pb+Pb collisions at Elab = 20A GeV
for the full 4π acceptance and for the particles accepted only in the center of mass rapidity
interval 1 lt yπ lt 2 are shown in Fig 5 (a) and (b) respectively (full symbols) From a
comparison of the results for the full and limited detector acceptance one observes rather strong
effects of acceptance losses for the scaled variance ω[Nminus] The strongly intensive measures
∆[PT Nminus] and Σ[PT Nminus] look again more appropriate The effects of the limited acceptance
are rather moderate for ∆[PT Nminus] and almost absent for Σ[PT Nminus] We also would like to stress
that the acceptance dependence shown in Fig 5 is the example only In general the measured
25
MGorenstein KGrebieszkow PRC 89034903
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3923
∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structures which could be related to CP are visible
Systematic uncertainties are under investigation (first estimates - 2 for 3 low
energies and of about 5 for 2 top energies)
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4023
∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structureswhich could be relatedto CP are visible
∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems
Systematic uncertainties
are under investigation
(first estimates - 2 for 3
low energies and of about
5 for 2 top energies)
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4123
Σ[PT N] system size dependence
Linear fit Parabolic fit
10 210
098
1
102
104
106
108
Graph ndf 2χ 4872 4
p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus
ndf 2χ 4872 4p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus
Graph
10 210
098
1
102
104
106
108
Graph ndf 2χ 3119 3
p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus
ndf 2χ 3119 3p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus
Graph
Gaussian fit
10 210
098
1
102
104
106
108
Graph ndf 2χ 3124 3
Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421
ndf 2χ 3124 3Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421
Graph
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4223
Corrections
Corrections for contamination from off-target interactions for40Ar+45Sc were not applied but with applied vertex positionselection they are expected to be less than 1
MMP WUT (NA61SHINE) Quark Matter 2015 Kobe Japan September 20 2015 19 17
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4323
Obtaining 〈W 〉
Glissando MC is based on Glauber model whereas EPOS utilizesparton ladder model
rdquoin our case the inelastic Nucleon-Nucleon cross-section in anucleus is smaller than the corresponding pp cross-section leadingto less binary collisions than in standard Glauberrdquo
Tanguy Pierog core EPOS developer
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4423
Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons
ent
ries
0
100
200
300
400
500
600
700
N0 100 200
[G
eVc
]T
P
0
20
40
60
Mean x 1047Mean y 3454RMS x 1249RMS y 4695
-+h+hNA61SHINE preliminary
]2c2 [GeVT2P0 20 40
]2G
eV2
) [c
T2
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 17RMS 3164
NA61SHINE preliminary
N PT and PT 2 =sumN
i=1 p2Ti are measured for each event
PT 2 is needed to calculate the scaled variance of the inclusive
pT distribution ω[pT ] =p2TminuspT 2
pTusing only event quantities
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4523
Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons
N PT and PT 2 =sumN
i=1 p2Ti are measured for each event
PT 2 is needed to calculate the scaled variance of the inclusive
pT distribution ω[pT ] =p2TminuspT 2
pTusing only event quantities
N0 100 200
P(N
)
5minus10
4minus10
3minus10
2minus10
Mean 1047RMS 1249
NA61SHINE preliminary
[GeVc]TP0 20 40 60
) [c
GeV
]T
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 3453RMS 4701
NA61SHINE preliminary
[GeVc]TNP0 5000 10000 15000
) [c
GeV
]T
P(N
P
7minus10
6minus10
5minus10
4minus10
Mean 3665RMS 8972
NA61SHINE preliminary
]2c2 [GeVT2P0 20 40
]2G
eV2
) [c
T2
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 17RMS 3164
NA61SHINE preliminary
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3023
Statistics40Ar+ 45Sc 0minus 5 0 lt yπ lt ybeam
Event stats 19 30 40 75 150
Total 21M 31M 19M 41M 28M
Selected 01M 02M 01M 05M 01M
Track stats 19 30 40 75 150
Total 22M 54M 35M 156M 55M
Selected 5M 11M 8M 37M 15M
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3123
[PT N] fluctuations
PT =sumN
i=1 pTi
∆[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ]minus 〈PT 〉ω[N])
Σ[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ] + 〈PT 〉ω[N]minus 2cov(PT N))
Here
ω[PT ] =〈P2
T 〉minus〈PT 〉2〈PT 〉 〈〉 - average over all events
ω[N] = 〈N2〉minus〈N〉2〈N〉
ω[pT ] =p2TminuspT 2
pT middot - average over all particles
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3223
∆Σ[PT N] effect of correctionsp+p vs 7Be+9Be
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
p+p uncorrectedp+p corrected
Be 0-5 uncorrected9Be+7 Be 0-5 corrected9Be+7
Corrections are larger for ∆[PT N] in p+p and for Σ[PT N] in 7Be+9Be
SI fluctuation measures do not change their energy dependence after corrections
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3323
∆Σ[PT N] acceptance dependencep+p
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
p+p full NA61 acc
beamp+p 0ltylty
Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]
Energy dependence trend is the same for full and limited acceptance
Systematic uncertainties for limited acceptance are expected to be ofabout uncertainties for full acceptance
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3423
∆Σ[PT N] acceptance dependencep+p
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
p+p full NA61 acc
beamp+p 0ltylty
Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]
∆[PT N] and Σ[PT N]changes due toacceptance are morepronounced for positivelycharged hadrons
It can be indication ofstronger ∆++ resonancedecay contribution forfull acceptance case
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3523
∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc
Centrality classes from 0minus 1 to 0minus 10
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
30A GeVc
30A GeVc EPOS199
Σ[PT N] is less centrality dependent than ∆[PT N] both in data and inthe EPOS199 model
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3623
∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12+h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
30A GeVc
30A GeVc EPOS199
The EPOS199 modeldescribes better∆[PT N] for negativelycharged hadrons andΣ[PT N] for positivelycharged hadrons
Σ[PT N] is lesscentrality dependentthan ∆[PT N] fornegatively and positivelycharged hadrons
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3723
∆Σ[PT N] energy dependence for 2 centrality classes40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
Corrected 0-5
Corrected 0-1
Σ[PT N] is less centrality dependent than ∆[PT N]
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3823
Centrality dependence
centrality
] - N
T[PΣ
] or
-
NT
[P∆]
or
-[N
ω
1
10
0-5 0-10 0-15 0-20
UrQMD 33 20A GeVneg charged
]-[Nω]- N
T[P∆
]- NT
[PΣ
(a)
centrality
] - N
T[PΣ
] or
-
NT
[P∆]
or
-[N
ω
1
10
0-5 0-10 0-15 0-20
UrQMD 33 20A GeVneg charged
lt 2π
0 lt y
]-[Nω]- N
T[P∆
]- NT
[PΣ
(b)
Figure 5 (Color online) The UrQMD results for the centrality dependence of ω[Nminus] (squares)
∆[PT Nminus] (circles) and Σ[PT Nminus] (triangles) in Pb+Pb collisions at Elab = 20A GeV A centrality
selection is done with a restriction on the impact parameter b (a) The full 4π detector acceptance
(b) Only particles with center of mass rapidity in the interval 1 lt yπ lt 2 are accepted (pion mass was
assumed for all particles) Open symbols correspond to the case when 10 of particles was randomly
rejected
and we call it acceptance losses On the other hand even in this accepted kinematic region we
still may have efficiency losses due to track reconstruction problems (including problems with
ionization energy loss dEdx reconstruction)
The UrQMD results for negatively charged particles in Pb+Pb collisions at Elab = 20A GeV
for the full 4π acceptance and for the particles accepted only in the center of mass rapidity
interval 1 lt yπ lt 2 are shown in Fig 5 (a) and (b) respectively (full symbols) From a
comparison of the results for the full and limited detector acceptance one observes rather strong
effects of acceptance losses for the scaled variance ω[Nminus] The strongly intensive measures
∆[PT Nminus] and Σ[PT Nminus] look again more appropriate The effects of the limited acceptance
are rather moderate for ∆[PT Nminus] and almost absent for Σ[PT Nminus] We also would like to stress
that the acceptance dependence shown in Fig 5 is the example only In general the measured
25
MGorenstein KGrebieszkow PRC 89034903
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3923
∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structures which could be related to CP are visible
Systematic uncertainties are under investigation (first estimates - 2 for 3 low
energies and of about 5 for 2 top energies)
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4023
∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structureswhich could be relatedto CP are visible
∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems
Systematic uncertainties
are under investigation
(first estimates - 2 for 3
low energies and of about
5 for 2 top energies)
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4123
Σ[PT N] system size dependence
Linear fit Parabolic fit
10 210
098
1
102
104
106
108
Graph ndf 2χ 4872 4
p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus
ndf 2χ 4872 4p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus
Graph
10 210
098
1
102
104
106
108
Graph ndf 2χ 3119 3
p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus
ndf 2χ 3119 3p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus
Graph
Gaussian fit
10 210
098
1
102
104
106
108
Graph ndf 2χ 3124 3
Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421
ndf 2χ 3124 3Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421
Graph
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4223
Corrections
Corrections for contamination from off-target interactions for40Ar+45Sc were not applied but with applied vertex positionselection they are expected to be less than 1
MMP WUT (NA61SHINE) Quark Matter 2015 Kobe Japan September 20 2015 19 17
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4323
Obtaining 〈W 〉
Glissando MC is based on Glauber model whereas EPOS utilizesparton ladder model
rdquoin our case the inelastic Nucleon-Nucleon cross-section in anucleus is smaller than the corresponding pp cross-section leadingto less binary collisions than in standard Glauberrdquo
Tanguy Pierog core EPOS developer
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4423
Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons
ent
ries
0
100
200
300
400
500
600
700
N0 100 200
[G
eVc
]T
P
0
20
40
60
Mean x 1047Mean y 3454RMS x 1249RMS y 4695
-+h+hNA61SHINE preliminary
]2c2 [GeVT2P0 20 40
]2G
eV2
) [c
T2
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 17RMS 3164
NA61SHINE preliminary
N PT and PT 2 =sumN
i=1 p2Ti are measured for each event
PT 2 is needed to calculate the scaled variance of the inclusive
pT distribution ω[pT ] =p2TminuspT 2
pTusing only event quantities
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4523
Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons
N PT and PT 2 =sumN
i=1 p2Ti are measured for each event
PT 2 is needed to calculate the scaled variance of the inclusive
pT distribution ω[pT ] =p2TminuspT 2
pTusing only event quantities
N0 100 200
P(N
)
5minus10
4minus10
3minus10
2minus10
Mean 1047RMS 1249
NA61SHINE preliminary
[GeVc]TP0 20 40 60
) [c
GeV
]T
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 3453RMS 4701
NA61SHINE preliminary
[GeVc]TNP0 5000 10000 15000
) [c
GeV
]T
P(N
P
7minus10
6minus10
5minus10
4minus10
Mean 3665RMS 8972
NA61SHINE preliminary
]2c2 [GeVT2P0 20 40
]2G
eV2
) [c
T2
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 17RMS 3164
NA61SHINE preliminary
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3123
[PT N] fluctuations
PT =sumN
i=1 pTi
∆[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ]minus 〈PT 〉ω[N])
Σ[PT N] = 1〈N〉ω[pT ] (〈N〉ω[PT ] + 〈PT 〉ω[N]minus 2cov(PT N))
Here
ω[PT ] =〈P2
T 〉minus〈PT 〉2〈PT 〉 〈〉 - average over all events
ω[N] = 〈N2〉minus〈N〉2〈N〉
ω[pT ] =p2TminuspT 2
pT middot - average over all particles
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3223
∆Σ[PT N] effect of correctionsp+p vs 7Be+9Be
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
p+p uncorrectedp+p corrected
Be 0-5 uncorrected9Be+7 Be 0-5 corrected9Be+7
Corrections are larger for ∆[PT N] in p+p and for Σ[PT N] in 7Be+9Be
SI fluctuation measures do not change their energy dependence after corrections
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3323
∆Σ[PT N] acceptance dependencep+p
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
p+p full NA61 acc
beamp+p 0ltylty
Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]
Energy dependence trend is the same for full and limited acceptance
Systematic uncertainties for limited acceptance are expected to be ofabout uncertainties for full acceptance
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3423
∆Σ[PT N] acceptance dependencep+p
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
p+p full NA61 acc
beamp+p 0ltylty
Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]
∆[PT N] and Σ[PT N]changes due toacceptance are morepronounced for positivelycharged hadrons
It can be indication ofstronger ∆++ resonancedecay contribution forfull acceptance case
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3523
∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc
Centrality classes from 0minus 1 to 0minus 10
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
30A GeVc
30A GeVc EPOS199
Σ[PT N] is less centrality dependent than ∆[PT N] both in data and inthe EPOS199 model
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3623
∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12+h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
30A GeVc
30A GeVc EPOS199
The EPOS199 modeldescribes better∆[PT N] for negativelycharged hadrons andΣ[PT N] for positivelycharged hadrons
Σ[PT N] is lesscentrality dependentthan ∆[PT N] fornegatively and positivelycharged hadrons
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3723
∆Σ[PT N] energy dependence for 2 centrality classes40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
Corrected 0-5
Corrected 0-1
Σ[PT N] is less centrality dependent than ∆[PT N]
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3823
Centrality dependence
centrality
] - N
T[PΣ
] or
-
NT
[P∆]
or
-[N
ω
1
10
0-5 0-10 0-15 0-20
UrQMD 33 20A GeVneg charged
]-[Nω]- N
T[P∆
]- NT
[PΣ
(a)
centrality
] - N
T[PΣ
] or
-
NT
[P∆]
or
-[N
ω
1
10
0-5 0-10 0-15 0-20
UrQMD 33 20A GeVneg charged
lt 2π
0 lt y
]-[Nω]- N
T[P∆
]- NT
[PΣ
(b)
Figure 5 (Color online) The UrQMD results for the centrality dependence of ω[Nminus] (squares)
∆[PT Nminus] (circles) and Σ[PT Nminus] (triangles) in Pb+Pb collisions at Elab = 20A GeV A centrality
selection is done with a restriction on the impact parameter b (a) The full 4π detector acceptance
(b) Only particles with center of mass rapidity in the interval 1 lt yπ lt 2 are accepted (pion mass was
assumed for all particles) Open symbols correspond to the case when 10 of particles was randomly
rejected
and we call it acceptance losses On the other hand even in this accepted kinematic region we
still may have efficiency losses due to track reconstruction problems (including problems with
ionization energy loss dEdx reconstruction)
The UrQMD results for negatively charged particles in Pb+Pb collisions at Elab = 20A GeV
for the full 4π acceptance and for the particles accepted only in the center of mass rapidity
interval 1 lt yπ lt 2 are shown in Fig 5 (a) and (b) respectively (full symbols) From a
comparison of the results for the full and limited detector acceptance one observes rather strong
effects of acceptance losses for the scaled variance ω[Nminus] The strongly intensive measures
∆[PT Nminus] and Σ[PT Nminus] look again more appropriate The effects of the limited acceptance
are rather moderate for ∆[PT Nminus] and almost absent for Σ[PT Nminus] We also would like to stress
that the acceptance dependence shown in Fig 5 is the example only In general the measured
25
MGorenstein KGrebieszkow PRC 89034903
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3923
∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structures which could be related to CP are visible
Systematic uncertainties are under investigation (first estimates - 2 for 3 low
energies and of about 5 for 2 top energies)
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4023
∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structureswhich could be relatedto CP are visible
∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems
Systematic uncertainties
are under investigation
(first estimates - 2 for 3
low energies and of about
5 for 2 top energies)
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4123
Σ[PT N] system size dependence
Linear fit Parabolic fit
10 210
098
1
102
104
106
108
Graph ndf 2χ 4872 4
p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus
ndf 2χ 4872 4p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus
Graph
10 210
098
1
102
104
106
108
Graph ndf 2χ 3119 3
p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus
ndf 2χ 3119 3p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus
Graph
Gaussian fit
10 210
098
1
102
104
106
108
Graph ndf 2χ 3124 3
Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421
ndf 2χ 3124 3Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421
Graph
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4223
Corrections
Corrections for contamination from off-target interactions for40Ar+45Sc were not applied but with applied vertex positionselection they are expected to be less than 1
MMP WUT (NA61SHINE) Quark Matter 2015 Kobe Japan September 20 2015 19 17
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4323
Obtaining 〈W 〉
Glissando MC is based on Glauber model whereas EPOS utilizesparton ladder model
rdquoin our case the inelastic Nucleon-Nucleon cross-section in anucleus is smaller than the corresponding pp cross-section leadingto less binary collisions than in standard Glauberrdquo
Tanguy Pierog core EPOS developer
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4423
Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons
ent
ries
0
100
200
300
400
500
600
700
N0 100 200
[G
eVc
]T
P
0
20
40
60
Mean x 1047Mean y 3454RMS x 1249RMS y 4695
-+h+hNA61SHINE preliminary
]2c2 [GeVT2P0 20 40
]2G
eV2
) [c
T2
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 17RMS 3164
NA61SHINE preliminary
N PT and PT 2 =sumN
i=1 p2Ti are measured for each event
PT 2 is needed to calculate the scaled variance of the inclusive
pT distribution ω[pT ] =p2TminuspT 2
pTusing only event quantities
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4523
Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons
N PT and PT 2 =sumN
i=1 p2Ti are measured for each event
PT 2 is needed to calculate the scaled variance of the inclusive
pT distribution ω[pT ] =p2TminuspT 2
pTusing only event quantities
N0 100 200
P(N
)
5minus10
4minus10
3minus10
2minus10
Mean 1047RMS 1249
NA61SHINE preliminary
[GeVc]TP0 20 40 60
) [c
GeV
]T
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 3453RMS 4701
NA61SHINE preliminary
[GeVc]TNP0 5000 10000 15000
) [c
GeV
]T
P(N
P
7minus10
6minus10
5minus10
4minus10
Mean 3665RMS 8972
NA61SHINE preliminary
]2c2 [GeVT2P0 20 40
]2G
eV2
) [c
T2
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 17RMS 3164
NA61SHINE preliminary
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3223
∆Σ[PT N] effect of correctionsp+p vs 7Be+9Be
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
p+p uncorrectedp+p corrected
Be 0-5 uncorrected9Be+7 Be 0-5 corrected9Be+7
Corrections are larger for ∆[PT N] in p+p and for Σ[PT N] in 7Be+9Be
SI fluctuation measures do not change their energy dependence after corrections
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3323
∆Σ[PT N] acceptance dependencep+p
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
p+p full NA61 acc
beamp+p 0ltylty
Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]
Energy dependence trend is the same for full and limited acceptance
Systematic uncertainties for limited acceptance are expected to be ofabout uncertainties for full acceptance
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3423
∆Σ[PT N] acceptance dependencep+p
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
p+p full NA61 acc
beamp+p 0ltylty
Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]
∆[PT N] and Σ[PT N]changes due toacceptance are morepronounced for positivelycharged hadrons
It can be indication ofstronger ∆++ resonancedecay contribution forfull acceptance case
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3523
∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc
Centrality classes from 0minus 1 to 0minus 10
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
30A GeVc
30A GeVc EPOS199
Σ[PT N] is less centrality dependent than ∆[PT N] both in data and inthe EPOS199 model
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3623
∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12+h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
30A GeVc
30A GeVc EPOS199
The EPOS199 modeldescribes better∆[PT N] for negativelycharged hadrons andΣ[PT N] for positivelycharged hadrons
Σ[PT N] is lesscentrality dependentthan ∆[PT N] fornegatively and positivelycharged hadrons
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3723
∆Σ[PT N] energy dependence for 2 centrality classes40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
Corrected 0-5
Corrected 0-1
Σ[PT N] is less centrality dependent than ∆[PT N]
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3823
Centrality dependence
centrality
] - N
T[PΣ
] or
-
NT
[P∆]
or
-[N
ω
1
10
0-5 0-10 0-15 0-20
UrQMD 33 20A GeVneg charged
]-[Nω]- N
T[P∆
]- NT
[PΣ
(a)
centrality
] - N
T[PΣ
] or
-
NT
[P∆]
or
-[N
ω
1
10
0-5 0-10 0-15 0-20
UrQMD 33 20A GeVneg charged
lt 2π
0 lt y
]-[Nω]- N
T[P∆
]- NT
[PΣ
(b)
Figure 5 (Color online) The UrQMD results for the centrality dependence of ω[Nminus] (squares)
∆[PT Nminus] (circles) and Σ[PT Nminus] (triangles) in Pb+Pb collisions at Elab = 20A GeV A centrality
selection is done with a restriction on the impact parameter b (a) The full 4π detector acceptance
(b) Only particles with center of mass rapidity in the interval 1 lt yπ lt 2 are accepted (pion mass was
assumed for all particles) Open symbols correspond to the case when 10 of particles was randomly
rejected
and we call it acceptance losses On the other hand even in this accepted kinematic region we
still may have efficiency losses due to track reconstruction problems (including problems with
ionization energy loss dEdx reconstruction)
The UrQMD results for negatively charged particles in Pb+Pb collisions at Elab = 20A GeV
for the full 4π acceptance and for the particles accepted only in the center of mass rapidity
interval 1 lt yπ lt 2 are shown in Fig 5 (a) and (b) respectively (full symbols) From a
comparison of the results for the full and limited detector acceptance one observes rather strong
effects of acceptance losses for the scaled variance ω[Nminus] The strongly intensive measures
∆[PT Nminus] and Σ[PT Nminus] look again more appropriate The effects of the limited acceptance
are rather moderate for ∆[PT Nminus] and almost absent for Σ[PT Nminus] We also would like to stress
that the acceptance dependence shown in Fig 5 is the example only In general the measured
25
MGorenstein KGrebieszkow PRC 89034903
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3923
∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structures which could be related to CP are visible
Systematic uncertainties are under investigation (first estimates - 2 for 3 low
energies and of about 5 for 2 top energies)
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4023
∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structureswhich could be relatedto CP are visible
∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems
Systematic uncertainties
are under investigation
(first estimates - 2 for 3
low energies and of about
5 for 2 top energies)
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4123
Σ[PT N] system size dependence
Linear fit Parabolic fit
10 210
098
1
102
104
106
108
Graph ndf 2χ 4872 4
p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus
ndf 2χ 4872 4p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus
Graph
10 210
098
1
102
104
106
108
Graph ndf 2χ 3119 3
p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus
ndf 2χ 3119 3p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus
Graph
Gaussian fit
10 210
098
1
102
104
106
108
Graph ndf 2χ 3124 3
Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421
ndf 2χ 3124 3Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421
Graph
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4223
Corrections
Corrections for contamination from off-target interactions for40Ar+45Sc were not applied but with applied vertex positionselection they are expected to be less than 1
MMP WUT (NA61SHINE) Quark Matter 2015 Kobe Japan September 20 2015 19 17
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4323
Obtaining 〈W 〉
Glissando MC is based on Glauber model whereas EPOS utilizesparton ladder model
rdquoin our case the inelastic Nucleon-Nucleon cross-section in anucleus is smaller than the corresponding pp cross-section leadingto less binary collisions than in standard Glauberrdquo
Tanguy Pierog core EPOS developer
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4423
Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons
ent
ries
0
100
200
300
400
500
600
700
N0 100 200
[G
eVc
]T
P
0
20
40
60
Mean x 1047Mean y 3454RMS x 1249RMS y 4695
-+h+hNA61SHINE preliminary
]2c2 [GeVT2P0 20 40
]2G
eV2
) [c
T2
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 17RMS 3164
NA61SHINE preliminary
N PT and PT 2 =sumN
i=1 p2Ti are measured for each event
PT 2 is needed to calculate the scaled variance of the inclusive
pT distribution ω[pT ] =p2TminuspT 2
pTusing only event quantities
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4523
Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons
N PT and PT 2 =sumN
i=1 p2Ti are measured for each event
PT 2 is needed to calculate the scaled variance of the inclusive
pT distribution ω[pT ] =p2TminuspT 2
pTusing only event quantities
N0 100 200
P(N
)
5minus10
4minus10
3minus10
2minus10
Mean 1047RMS 1249
NA61SHINE preliminary
[GeVc]TP0 20 40 60
) [c
GeV
]T
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 3453RMS 4701
NA61SHINE preliminary
[GeVc]TNP0 5000 10000 15000
) [c
GeV
]T
P(N
P
7minus10
6minus10
5minus10
4minus10
Mean 3665RMS 8972
NA61SHINE preliminary
]2c2 [GeVT2P0 20 40
]2G
eV2
) [c
T2
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 17RMS 3164
NA61SHINE preliminary
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3323
∆Σ[PT N] acceptance dependencep+p
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
p+p full NA61 acc
beamp+p 0ltylty
Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]
Energy dependence trend is the same for full and limited acceptance
Systematic uncertainties for limited acceptance are expected to be ofabout uncertainties for full acceptance
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3423
∆Σ[PT N] acceptance dependencep+p
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
p+p full NA61 acc
beamp+p 0ltylty
Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]
∆[PT N] and Σ[PT N]changes due toacceptance are morepronounced for positivelycharged hadrons
It can be indication ofstronger ∆++ resonancedecay contribution forfull acceptance case
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3523
∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc
Centrality classes from 0minus 1 to 0minus 10
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
30A GeVc
30A GeVc EPOS199
Σ[PT N] is less centrality dependent than ∆[PT N] both in data and inthe EPOS199 model
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3623
∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12+h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
30A GeVc
30A GeVc EPOS199
The EPOS199 modeldescribes better∆[PT N] for negativelycharged hadrons andΣ[PT N] for positivelycharged hadrons
Σ[PT N] is lesscentrality dependentthan ∆[PT N] fornegatively and positivelycharged hadrons
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3723
∆Σ[PT N] energy dependence for 2 centrality classes40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
Corrected 0-5
Corrected 0-1
Σ[PT N] is less centrality dependent than ∆[PT N]
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3823
Centrality dependence
centrality
] - N
T[PΣ
] or
-
NT
[P∆]
or
-[N
ω
1
10
0-5 0-10 0-15 0-20
UrQMD 33 20A GeVneg charged
]-[Nω]- N
T[P∆
]- NT
[PΣ
(a)
centrality
] - N
T[PΣ
] or
-
NT
[P∆]
or
-[N
ω
1
10
0-5 0-10 0-15 0-20
UrQMD 33 20A GeVneg charged
lt 2π
0 lt y
]-[Nω]- N
T[P∆
]- NT
[PΣ
(b)
Figure 5 (Color online) The UrQMD results for the centrality dependence of ω[Nminus] (squares)
∆[PT Nminus] (circles) and Σ[PT Nminus] (triangles) in Pb+Pb collisions at Elab = 20A GeV A centrality
selection is done with a restriction on the impact parameter b (a) The full 4π detector acceptance
(b) Only particles with center of mass rapidity in the interval 1 lt yπ lt 2 are accepted (pion mass was
assumed for all particles) Open symbols correspond to the case when 10 of particles was randomly
rejected
and we call it acceptance losses On the other hand even in this accepted kinematic region we
still may have efficiency losses due to track reconstruction problems (including problems with
ionization energy loss dEdx reconstruction)
The UrQMD results for negatively charged particles in Pb+Pb collisions at Elab = 20A GeV
for the full 4π acceptance and for the particles accepted only in the center of mass rapidity
interval 1 lt yπ lt 2 are shown in Fig 5 (a) and (b) respectively (full symbols) From a
comparison of the results for the full and limited detector acceptance one observes rather strong
effects of acceptance losses for the scaled variance ω[Nminus] The strongly intensive measures
∆[PT Nminus] and Σ[PT Nminus] look again more appropriate The effects of the limited acceptance
are rather moderate for ∆[PT Nminus] and almost absent for Σ[PT Nminus] We also would like to stress
that the acceptance dependence shown in Fig 5 is the example only In general the measured
25
MGorenstein KGrebieszkow PRC 89034903
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3923
∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structures which could be related to CP are visible
Systematic uncertainties are under investigation (first estimates - 2 for 3 low
energies and of about 5 for 2 top energies)
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4023
∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structureswhich could be relatedto CP are visible
∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems
Systematic uncertainties
are under investigation
(first estimates - 2 for 3
low energies and of about
5 for 2 top energies)
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4123
Σ[PT N] system size dependence
Linear fit Parabolic fit
10 210
098
1
102
104
106
108
Graph ndf 2χ 4872 4
p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus
ndf 2χ 4872 4p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus
Graph
10 210
098
1
102
104
106
108
Graph ndf 2χ 3119 3
p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus
ndf 2χ 3119 3p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus
Graph
Gaussian fit
10 210
098
1
102
104
106
108
Graph ndf 2χ 3124 3
Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421
ndf 2χ 3124 3Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421
Graph
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4223
Corrections
Corrections for contamination from off-target interactions for40Ar+45Sc were not applied but with applied vertex positionselection they are expected to be less than 1
MMP WUT (NA61SHINE) Quark Matter 2015 Kobe Japan September 20 2015 19 17
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4323
Obtaining 〈W 〉
Glissando MC is based on Glauber model whereas EPOS utilizesparton ladder model
rdquoin our case the inelastic Nucleon-Nucleon cross-section in anucleus is smaller than the corresponding pp cross-section leadingto less binary collisions than in standard Glauberrdquo
Tanguy Pierog core EPOS developer
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4423
Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons
ent
ries
0
100
200
300
400
500
600
700
N0 100 200
[G
eVc
]T
P
0
20
40
60
Mean x 1047Mean y 3454RMS x 1249RMS y 4695
-+h+hNA61SHINE preliminary
]2c2 [GeVT2P0 20 40
]2G
eV2
) [c
T2
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 17RMS 3164
NA61SHINE preliminary
N PT and PT 2 =sumN
i=1 p2Ti are measured for each event
PT 2 is needed to calculate the scaled variance of the inclusive
pT distribution ω[pT ] =p2TminuspT 2
pTusing only event quantities
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4523
Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons
N PT and PT 2 =sumN
i=1 p2Ti are measured for each event
PT 2 is needed to calculate the scaled variance of the inclusive
pT distribution ω[pT ] =p2TminuspT 2
pTusing only event quantities
N0 100 200
P(N
)
5minus10
4minus10
3minus10
2minus10
Mean 1047RMS 1249
NA61SHINE preliminary
[GeVc]TP0 20 40 60
) [c
GeV
]T
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 3453RMS 4701
NA61SHINE preliminary
[GeVc]TNP0 5000 10000 15000
) [c
GeV
]T
P(N
P
7minus10
6minus10
5minus10
4minus10
Mean 3665RMS 8972
NA61SHINE preliminary
]2c2 [GeVT2P0 20 40
]2G
eV2
) [c
T2
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 17RMS 3164
NA61SHINE preliminary
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3423
∆Σ[PT N] acceptance dependencep+p
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
p+p full NA61 acc
beamp+p 0ltylty
Full acc - A Aduszkiewicz et al (NA61SHINE Collaboration) arXiv151000163[hep-ex]
∆[PT N] and Σ[PT N]changes due toacceptance are morepronounced for positivelycharged hadrons
It can be indication ofstronger ∆++ resonancedecay contribution forfull acceptance case
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3523
∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc
Centrality classes from 0minus 1 to 0minus 10
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
30A GeVc
30A GeVc EPOS199
Σ[PT N] is less centrality dependent than ∆[PT N] both in data and inthe EPOS199 model
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3623
∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12+h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
30A GeVc
30A GeVc EPOS199
The EPOS199 modeldescribes better∆[PT N] for negativelycharged hadrons andΣ[PT N] for positivelycharged hadrons
Σ[PT N] is lesscentrality dependentthan ∆[PT N] fornegatively and positivelycharged hadrons
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3723
∆Σ[PT N] energy dependence for 2 centrality classes40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
Corrected 0-5
Corrected 0-1
Σ[PT N] is less centrality dependent than ∆[PT N]
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3823
Centrality dependence
centrality
] - N
T[PΣ
] or
-
NT
[P∆]
or
-[N
ω
1
10
0-5 0-10 0-15 0-20
UrQMD 33 20A GeVneg charged
]-[Nω]- N
T[P∆
]- NT
[PΣ
(a)
centrality
] - N
T[PΣ
] or
-
NT
[P∆]
or
-[N
ω
1
10
0-5 0-10 0-15 0-20
UrQMD 33 20A GeVneg charged
lt 2π
0 lt y
]-[Nω]- N
T[P∆
]- NT
[PΣ
(b)
Figure 5 (Color online) The UrQMD results for the centrality dependence of ω[Nminus] (squares)
∆[PT Nminus] (circles) and Σ[PT Nminus] (triangles) in Pb+Pb collisions at Elab = 20A GeV A centrality
selection is done with a restriction on the impact parameter b (a) The full 4π detector acceptance
(b) Only particles with center of mass rapidity in the interval 1 lt yπ lt 2 are accepted (pion mass was
assumed for all particles) Open symbols correspond to the case when 10 of particles was randomly
rejected
and we call it acceptance losses On the other hand even in this accepted kinematic region we
still may have efficiency losses due to track reconstruction problems (including problems with
ionization energy loss dEdx reconstruction)
The UrQMD results for negatively charged particles in Pb+Pb collisions at Elab = 20A GeV
for the full 4π acceptance and for the particles accepted only in the center of mass rapidity
interval 1 lt yπ lt 2 are shown in Fig 5 (a) and (b) respectively (full symbols) From a
comparison of the results for the full and limited detector acceptance one observes rather strong
effects of acceptance losses for the scaled variance ω[Nminus] The strongly intensive measures
∆[PT Nminus] and Σ[PT Nminus] look again more appropriate The effects of the limited acceptance
are rather moderate for ∆[PT Nminus] and almost absent for Σ[PT Nminus] We also would like to stress
that the acceptance dependence shown in Fig 5 is the example only In general the measured
25
MGorenstein KGrebieszkow PRC 89034903
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3923
∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structures which could be related to CP are visible
Systematic uncertainties are under investigation (first estimates - 2 for 3 low
energies and of about 5 for 2 top energies)
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4023
∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structureswhich could be relatedto CP are visible
∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems
Systematic uncertainties
are under investigation
(first estimates - 2 for 3
low energies and of about
5 for 2 top energies)
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4123
Σ[PT N] system size dependence
Linear fit Parabolic fit
10 210
098
1
102
104
106
108
Graph ndf 2χ 4872 4
p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus
ndf 2χ 4872 4p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus
Graph
10 210
098
1
102
104
106
108
Graph ndf 2χ 3119 3
p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus
ndf 2χ 3119 3p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus
Graph
Gaussian fit
10 210
098
1
102
104
106
108
Graph ndf 2χ 3124 3
Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421
ndf 2χ 3124 3Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421
Graph
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4223
Corrections
Corrections for contamination from off-target interactions for40Ar+45Sc were not applied but with applied vertex positionselection they are expected to be less than 1
MMP WUT (NA61SHINE) Quark Matter 2015 Kobe Japan September 20 2015 19 17
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4323
Obtaining 〈W 〉
Glissando MC is based on Glauber model whereas EPOS utilizesparton ladder model
rdquoin our case the inelastic Nucleon-Nucleon cross-section in anucleus is smaller than the corresponding pp cross-section leadingto less binary collisions than in standard Glauberrdquo
Tanguy Pierog core EPOS developer
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4423
Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons
ent
ries
0
100
200
300
400
500
600
700
N0 100 200
[G
eVc
]T
P
0
20
40
60
Mean x 1047Mean y 3454RMS x 1249RMS y 4695
-+h+hNA61SHINE preliminary
]2c2 [GeVT2P0 20 40
]2G
eV2
) [c
T2
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 17RMS 3164
NA61SHINE preliminary
N PT and PT 2 =sumN
i=1 p2Ti are measured for each event
PT 2 is needed to calculate the scaled variance of the inclusive
pT distribution ω[pT ] =p2TminuspT 2
pTusing only event quantities
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4523
Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons
N PT and PT 2 =sumN
i=1 p2Ti are measured for each event
PT 2 is needed to calculate the scaled variance of the inclusive
pT distribution ω[pT ] =p2TminuspT 2
pTusing only event quantities
N0 100 200
P(N
)
5minus10
4minus10
3minus10
2minus10
Mean 1047RMS 1249
NA61SHINE preliminary
[GeVc]TP0 20 40 60
) [c
GeV
]T
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 3453RMS 4701
NA61SHINE preliminary
[GeVc]TNP0 5000 10000 15000
) [c
GeV
]T
P(N
P
7minus10
6minus10
5minus10
4minus10
Mean 3665RMS 8972
NA61SHINE preliminary
]2c2 [GeVT2P0 20 40
]2G
eV2
) [c
T2
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 17RMS 3164
NA61SHINE preliminary
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3523
∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc
Centrality classes from 0minus 1 to 0minus 10
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
30A GeVc
30A GeVc EPOS199
Σ[PT N] is less centrality dependent than ∆[PT N] both in data and inthe EPOS199 model
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3623
∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12+h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
30A GeVc
30A GeVc EPOS199
The EPOS199 modeldescribes better∆[PT N] for negativelycharged hadrons andΣ[PT N] for positivelycharged hadrons
Σ[PT N] is lesscentrality dependentthan ∆[PT N] fornegatively and positivelycharged hadrons
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3723
∆Σ[PT N] energy dependence for 2 centrality classes40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
Corrected 0-5
Corrected 0-1
Σ[PT N] is less centrality dependent than ∆[PT N]
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3823
Centrality dependence
centrality
] - N
T[PΣ
] or
-
NT
[P∆]
or
-[N
ω
1
10
0-5 0-10 0-15 0-20
UrQMD 33 20A GeVneg charged
]-[Nω]- N
T[P∆
]- NT
[PΣ
(a)
centrality
] - N
T[PΣ
] or
-
NT
[P∆]
or
-[N
ω
1
10
0-5 0-10 0-15 0-20
UrQMD 33 20A GeVneg charged
lt 2π
0 lt y
]-[Nω]- N
T[P∆
]- NT
[PΣ
(b)
Figure 5 (Color online) The UrQMD results for the centrality dependence of ω[Nminus] (squares)
∆[PT Nminus] (circles) and Σ[PT Nminus] (triangles) in Pb+Pb collisions at Elab = 20A GeV A centrality
selection is done with a restriction on the impact parameter b (a) The full 4π detector acceptance
(b) Only particles with center of mass rapidity in the interval 1 lt yπ lt 2 are accepted (pion mass was
assumed for all particles) Open symbols correspond to the case when 10 of particles was randomly
rejected
and we call it acceptance losses On the other hand even in this accepted kinematic region we
still may have efficiency losses due to track reconstruction problems (including problems with
ionization energy loss dEdx reconstruction)
The UrQMD results for negatively charged particles in Pb+Pb collisions at Elab = 20A GeV
for the full 4π acceptance and for the particles accepted only in the center of mass rapidity
interval 1 lt yπ lt 2 are shown in Fig 5 (a) and (b) respectively (full symbols) From a
comparison of the results for the full and limited detector acceptance one observes rather strong
effects of acceptance losses for the scaled variance ω[Nminus] The strongly intensive measures
∆[PT Nminus] and Σ[PT Nminus] look again more appropriate The effects of the limited acceptance
are rather moderate for ∆[PT Nminus] and almost absent for Σ[PT Nminus] We also would like to stress
that the acceptance dependence shown in Fig 5 is the example only In general the measured
25
MGorenstein KGrebieszkow PRC 89034903
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3923
∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structures which could be related to CP are visible
Systematic uncertainties are under investigation (first estimates - 2 for 3 low
energies and of about 5 for 2 top energies)
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4023
∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structureswhich could be relatedto CP are visible
∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems
Systematic uncertainties
are under investigation
(first estimates - 2 for 3
low energies and of about
5 for 2 top energies)
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4123
Σ[PT N] system size dependence
Linear fit Parabolic fit
10 210
098
1
102
104
106
108
Graph ndf 2χ 4872 4
p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus
ndf 2χ 4872 4p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus
Graph
10 210
098
1
102
104
106
108
Graph ndf 2χ 3119 3
p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus
ndf 2χ 3119 3p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus
Graph
Gaussian fit
10 210
098
1
102
104
106
108
Graph ndf 2χ 3124 3
Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421
ndf 2χ 3124 3Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421
Graph
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4223
Corrections
Corrections for contamination from off-target interactions for40Ar+45Sc were not applied but with applied vertex positionselection they are expected to be less than 1
MMP WUT (NA61SHINE) Quark Matter 2015 Kobe Japan September 20 2015 19 17
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4323
Obtaining 〈W 〉
Glissando MC is based on Glauber model whereas EPOS utilizesparton ladder model
rdquoin our case the inelastic Nucleon-Nucleon cross-section in anucleus is smaller than the corresponding pp cross-section leadingto less binary collisions than in standard Glauberrdquo
Tanguy Pierog core EPOS developer
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4423
Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons
ent
ries
0
100
200
300
400
500
600
700
N0 100 200
[G
eVc
]T
P
0
20
40
60
Mean x 1047Mean y 3454RMS x 1249RMS y 4695
-+h+hNA61SHINE preliminary
]2c2 [GeVT2P0 20 40
]2G
eV2
) [c
T2
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 17RMS 3164
NA61SHINE preliminary
N PT and PT 2 =sumN
i=1 p2Ti are measured for each event
PT 2 is needed to calculate the scaled variance of the inclusive
pT distribution ω[pT ] =p2TminuspT 2
pTusing only event quantities
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4523
Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons
N PT and PT 2 =sumN
i=1 p2Ti are measured for each event
PT 2 is needed to calculate the scaled variance of the inclusive
pT distribution ω[pT ] =p2TminuspT 2
pTusing only event quantities
N0 100 200
P(N
)
5minus10
4minus10
3minus10
2minus10
Mean 1047RMS 1249
NA61SHINE preliminary
[GeVc]TP0 20 40 60
) [c
GeV
]T
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 3453RMS 4701
NA61SHINE preliminary
[GeVc]TNP0 5000 10000 15000
) [c
GeV
]T
P(N
P
7minus10
6minus10
5minus10
4minus10
Mean 3665RMS 8972
NA61SHINE preliminary
]2c2 [GeVT2P0 20 40
]2G
eV2
) [c
T2
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 17RMS 3164
NA61SHINE preliminary
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3623
∆Σ[PT N] centrality dependence40Ar+45Sc 30A GeVc
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12+h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
centrality width []0 2 4 6 8 10
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
30A GeVc
30A GeVc EPOS199
The EPOS199 modeldescribes better∆[PT N] for negativelycharged hadrons andΣ[PT N] for positivelycharged hadrons
Σ[PT N] is lesscentrality dependentthan ∆[PT N] fornegatively and positivelycharged hadrons
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3723
∆Σ[PT N] energy dependence for 2 centrality classes40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
Corrected 0-5
Corrected 0-1
Σ[PT N] is less centrality dependent than ∆[PT N]
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3823
Centrality dependence
centrality
] - N
T[PΣ
] or
-
NT
[P∆]
or
-[N
ω
1
10
0-5 0-10 0-15 0-20
UrQMD 33 20A GeVneg charged
]-[Nω]- N
T[P∆
]- NT
[PΣ
(a)
centrality
] - N
T[PΣ
] or
-
NT
[P∆]
or
-[N
ω
1
10
0-5 0-10 0-15 0-20
UrQMD 33 20A GeVneg charged
lt 2π
0 lt y
]-[Nω]- N
T[P∆
]- NT
[PΣ
(b)
Figure 5 (Color online) The UrQMD results for the centrality dependence of ω[Nminus] (squares)
∆[PT Nminus] (circles) and Σ[PT Nminus] (triangles) in Pb+Pb collisions at Elab = 20A GeV A centrality
selection is done with a restriction on the impact parameter b (a) The full 4π detector acceptance
(b) Only particles with center of mass rapidity in the interval 1 lt yπ lt 2 are accepted (pion mass was
assumed for all particles) Open symbols correspond to the case when 10 of particles was randomly
rejected
and we call it acceptance losses On the other hand even in this accepted kinematic region we
still may have efficiency losses due to track reconstruction problems (including problems with
ionization energy loss dEdx reconstruction)
The UrQMD results for negatively charged particles in Pb+Pb collisions at Elab = 20A GeV
for the full 4π acceptance and for the particles accepted only in the center of mass rapidity
interval 1 lt yπ lt 2 are shown in Fig 5 (a) and (b) respectively (full symbols) From a
comparison of the results for the full and limited detector acceptance one observes rather strong
effects of acceptance losses for the scaled variance ω[Nminus] The strongly intensive measures
∆[PT Nminus] and Σ[PT Nminus] look again more appropriate The effects of the limited acceptance
are rather moderate for ∆[PT Nminus] and almost absent for Σ[PT Nminus] We also would like to stress
that the acceptance dependence shown in Fig 5 is the example only In general the measured
25
MGorenstein KGrebieszkow PRC 89034903
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3923
∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structures which could be related to CP are visible
Systematic uncertainties are under investigation (first estimates - 2 for 3 low
energies and of about 5 for 2 top energies)
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4023
∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structureswhich could be relatedto CP are visible
∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems
Systematic uncertainties
are under investigation
(first estimates - 2 for 3
low energies and of about
5 for 2 top energies)
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4123
Σ[PT N] system size dependence
Linear fit Parabolic fit
10 210
098
1
102
104
106
108
Graph ndf 2χ 4872 4
p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus
ndf 2χ 4872 4p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus
Graph
10 210
098
1
102
104
106
108
Graph ndf 2χ 3119 3
p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus
ndf 2χ 3119 3p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus
Graph
Gaussian fit
10 210
098
1
102
104
106
108
Graph ndf 2χ 3124 3
Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421
ndf 2χ 3124 3Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421
Graph
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4223
Corrections
Corrections for contamination from off-target interactions for40Ar+45Sc were not applied but with applied vertex positionselection they are expected to be less than 1
MMP WUT (NA61SHINE) Quark Matter 2015 Kobe Japan September 20 2015 19 17
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4323
Obtaining 〈W 〉
Glissando MC is based on Glauber model whereas EPOS utilizesparton ladder model
rdquoin our case the inelastic Nucleon-Nucleon cross-section in anucleus is smaller than the corresponding pp cross-section leadingto less binary collisions than in standard Glauberrdquo
Tanguy Pierog core EPOS developer
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4423
Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons
ent
ries
0
100
200
300
400
500
600
700
N0 100 200
[G
eVc
]T
P
0
20
40
60
Mean x 1047Mean y 3454RMS x 1249RMS y 4695
-+h+hNA61SHINE preliminary
]2c2 [GeVT2P0 20 40
]2G
eV2
) [c
T2
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 17RMS 3164
NA61SHINE preliminary
N PT and PT 2 =sumN
i=1 p2Ti are measured for each event
PT 2 is needed to calculate the scaled variance of the inclusive
pT distribution ω[pT ] =p2TminuspT 2
pTusing only event quantities
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4523
Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons
N PT and PT 2 =sumN
i=1 p2Ti are measured for each event
PT 2 is needed to calculate the scaled variance of the inclusive
pT distribution ω[pT ] =p2TminuspT 2
pTusing only event quantities
N0 100 200
P(N
)
5minus10
4minus10
3minus10
2minus10
Mean 1047RMS 1249
NA61SHINE preliminary
[GeVc]TP0 20 40 60
) [c
GeV
]T
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 3453RMS 4701
NA61SHINE preliminary
[GeVc]TNP0 5000 10000 15000
) [c
GeV
]T
P(N
P
7minus10
6minus10
5minus10
4minus10
Mean 3665RMS 8972
NA61SHINE preliminary
]2c2 [GeVT2P0 20 40
]2G
eV2
) [c
T2
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 17RMS 3164
NA61SHINE preliminary
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3723
∆Σ[PT N] energy dependence for 2 centrality classes40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
Corrected 0-5
Corrected 0-1
Σ[PT N] is less centrality dependent than ∆[PT N]
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3823
Centrality dependence
centrality
] - N
T[PΣ
] or
-
NT
[P∆]
or
-[N
ω
1
10
0-5 0-10 0-15 0-20
UrQMD 33 20A GeVneg charged
]-[Nω]- N
T[P∆
]- NT
[PΣ
(a)
centrality
] - N
T[PΣ
] or
-
NT
[P∆]
or
-[N
ω
1
10
0-5 0-10 0-15 0-20
UrQMD 33 20A GeVneg charged
lt 2π
0 lt y
]-[Nω]- N
T[P∆
]- NT
[PΣ
(b)
Figure 5 (Color online) The UrQMD results for the centrality dependence of ω[Nminus] (squares)
∆[PT Nminus] (circles) and Σ[PT Nminus] (triangles) in Pb+Pb collisions at Elab = 20A GeV A centrality
selection is done with a restriction on the impact parameter b (a) The full 4π detector acceptance
(b) Only particles with center of mass rapidity in the interval 1 lt yπ lt 2 are accepted (pion mass was
assumed for all particles) Open symbols correspond to the case when 10 of particles was randomly
rejected
and we call it acceptance losses On the other hand even in this accepted kinematic region we
still may have efficiency losses due to track reconstruction problems (including problems with
ionization energy loss dEdx reconstruction)
The UrQMD results for negatively charged particles in Pb+Pb collisions at Elab = 20A GeV
for the full 4π acceptance and for the particles accepted only in the center of mass rapidity
interval 1 lt yπ lt 2 are shown in Fig 5 (a) and (b) respectively (full symbols) From a
comparison of the results for the full and limited detector acceptance one observes rather strong
effects of acceptance losses for the scaled variance ω[Nminus] The strongly intensive measures
∆[PT Nminus] and Σ[PT Nminus] look again more appropriate The effects of the limited acceptance
are rather moderate for ∆[PT Nminus] and almost absent for Σ[PT Nminus] We also would like to stress
that the acceptance dependence shown in Fig 5 is the example only In general the measured
25
MGorenstein KGrebieszkow PRC 89034903
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3923
∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structures which could be related to CP are visible
Systematic uncertainties are under investigation (first estimates - 2 for 3 low
energies and of about 5 for 2 top energies)
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4023
∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structureswhich could be relatedto CP are visible
∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems
Systematic uncertainties
are under investigation
(first estimates - 2 for 3
low energies and of about
5 for 2 top energies)
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4123
Σ[PT N] system size dependence
Linear fit Parabolic fit
10 210
098
1
102
104
106
108
Graph ndf 2χ 4872 4
p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus
ndf 2χ 4872 4p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus
Graph
10 210
098
1
102
104
106
108
Graph ndf 2χ 3119 3
p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus
ndf 2χ 3119 3p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus
Graph
Gaussian fit
10 210
098
1
102
104
106
108
Graph ndf 2χ 3124 3
Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421
ndf 2χ 3124 3Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421
Graph
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4223
Corrections
Corrections for contamination from off-target interactions for40Ar+45Sc were not applied but with applied vertex positionselection they are expected to be less than 1
MMP WUT (NA61SHINE) Quark Matter 2015 Kobe Japan September 20 2015 19 17
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4323
Obtaining 〈W 〉
Glissando MC is based on Glauber model whereas EPOS utilizesparton ladder model
rdquoin our case the inelastic Nucleon-Nucleon cross-section in anucleus is smaller than the corresponding pp cross-section leadingto less binary collisions than in standard Glauberrdquo
Tanguy Pierog core EPOS developer
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4423
Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons
ent
ries
0
100
200
300
400
500
600
700
N0 100 200
[G
eVc
]T
P
0
20
40
60
Mean x 1047Mean y 3454RMS x 1249RMS y 4695
-+h+hNA61SHINE preliminary
]2c2 [GeVT2P0 20 40
]2G
eV2
) [c
T2
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 17RMS 3164
NA61SHINE preliminary
N PT and PT 2 =sumN
i=1 p2Ti are measured for each event
PT 2 is needed to calculate the scaled variance of the inclusive
pT distribution ω[pT ] =p2TminuspT 2
pTusing only event quantities
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4523
Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons
N PT and PT 2 =sumN
i=1 p2Ti are measured for each event
PT 2 is needed to calculate the scaled variance of the inclusive
pT distribution ω[pT ] =p2TminuspT 2
pTusing only event quantities
N0 100 200
P(N
)
5minus10
4minus10
3minus10
2minus10
Mean 1047RMS 1249
NA61SHINE preliminary
[GeVc]TP0 20 40 60
) [c
GeV
]T
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 3453RMS 4701
NA61SHINE preliminary
[GeVc]TNP0 5000 10000 15000
) [c
GeV
]T
P(N
P
7minus10
6minus10
5minus10
4minus10
Mean 3665RMS 8972
NA61SHINE preliminary
]2c2 [GeVT2P0 20 40
]2G
eV2
) [c
T2
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 17RMS 3164
NA61SHINE preliminary
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3823
Centrality dependence
centrality
] - N
T[PΣ
] or
-
NT
[P∆]
or
-[N
ω
1
10
0-5 0-10 0-15 0-20
UrQMD 33 20A GeVneg charged
]-[Nω]- N
T[P∆
]- NT
[PΣ
(a)
centrality
] - N
T[PΣ
] or
-
NT
[P∆]
or
-[N
ω
1
10
0-5 0-10 0-15 0-20
UrQMD 33 20A GeVneg charged
lt 2π
0 lt y
]-[Nω]- N
T[P∆
]- NT
[PΣ
(b)
Figure 5 (Color online) The UrQMD results for the centrality dependence of ω[Nminus] (squares)
∆[PT Nminus] (circles) and Σ[PT Nminus] (triangles) in Pb+Pb collisions at Elab = 20A GeV A centrality
selection is done with a restriction on the impact parameter b (a) The full 4π detector acceptance
(b) Only particles with center of mass rapidity in the interval 1 lt yπ lt 2 are accepted (pion mass was
assumed for all particles) Open symbols correspond to the case when 10 of particles was randomly
rejected
and we call it acceptance losses On the other hand even in this accepted kinematic region we
still may have efficiency losses due to track reconstruction problems (including problems with
ionization energy loss dEdx reconstruction)
The UrQMD results for negatively charged particles in Pb+Pb collisions at Elab = 20A GeV
for the full 4π acceptance and for the particles accepted only in the center of mass rapidity
interval 1 lt yπ lt 2 are shown in Fig 5 (a) and (b) respectively (full symbols) From a
comparison of the results for the full and limited detector acceptance one observes rather strong
effects of acceptance losses for the scaled variance ω[Nminus] The strongly intensive measures
∆[PT Nminus] and Σ[PT Nminus] look again more appropriate The effects of the limited acceptance
are rather moderate for ∆[PT Nminus] and almost absent for Σ[PT Nminus] We also would like to stress
that the acceptance dependence shown in Fig 5 is the example only In general the measured
25
MGorenstein KGrebieszkow PRC 89034903
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3923
∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structures which could be related to CP are visible
Systematic uncertainties are under investigation (first estimates - 2 for 3 low
energies and of about 5 for 2 top energies)
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4023
∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structureswhich could be relatedto CP are visible
∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems
Systematic uncertainties
are under investigation
(first estimates - 2 for 3
low energies and of about
5 for 2 top energies)
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4123
Σ[PT N] system size dependence
Linear fit Parabolic fit
10 210
098
1
102
104
106
108
Graph ndf 2χ 4872 4
p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus
ndf 2χ 4872 4p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus
Graph
10 210
098
1
102
104
106
108
Graph ndf 2χ 3119 3
p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus
ndf 2χ 3119 3p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus
Graph
Gaussian fit
10 210
098
1
102
104
106
108
Graph ndf 2χ 3124 3
Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421
ndf 2χ 3124 3Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421
Graph
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4223
Corrections
Corrections for contamination from off-target interactions for40Ar+45Sc were not applied but with applied vertex positionselection they are expected to be less than 1
MMP WUT (NA61SHINE) Quark Matter 2015 Kobe Japan September 20 2015 19 17
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4323
Obtaining 〈W 〉
Glissando MC is based on Glauber model whereas EPOS utilizesparton ladder model
rdquoin our case the inelastic Nucleon-Nucleon cross-section in anucleus is smaller than the corresponding pp cross-section leadingto less binary collisions than in standard Glauberrdquo
Tanguy Pierog core EPOS developer
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4423
Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons
ent
ries
0
100
200
300
400
500
600
700
N0 100 200
[G
eVc
]T
P
0
20
40
60
Mean x 1047Mean y 3454RMS x 1249RMS y 4695
-+h+hNA61SHINE preliminary
]2c2 [GeVT2P0 20 40
]2G
eV2
) [c
T2
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 17RMS 3164
NA61SHINE preliminary
N PT and PT 2 =sumN
i=1 p2Ti are measured for each event
PT 2 is needed to calculate the scaled variance of the inclusive
pT distribution ω[pT ] =p2TminuspT 2
pTusing only event quantities
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4523
Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons
N PT and PT 2 =sumN
i=1 p2Ti are measured for each event
PT 2 is needed to calculate the scaled variance of the inclusive
pT distribution ω[pT ] =p2TminuspT 2
pTusing only event quantities
N0 100 200
P(N
)
5minus10
4minus10
3minus10
2minus10
Mean 1047RMS 1249
NA61SHINE preliminary
[GeVc]TP0 20 40 60
) [c
GeV
]T
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 3453RMS 4701
NA61SHINE preliminary
[GeVc]TNP0 5000 10000 15000
) [c
GeV
]T
P(N
P
7minus10
6minus10
5minus10
4minus10
Mean 3665RMS 8972
NA61SHINE preliminary
]2c2 [GeVT2P0 20 40
]2G
eV2
) [c
T2
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 17RMS 3164
NA61SHINE preliminary
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
3923
∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-+h+h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -+h+h
NA61SHINE preliminary
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structures which could be related to CP are visible
Systematic uncertainties are under investigation (first estimates - 2 for 3 low
energies and of about 5 for 2 top energies)
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4023
∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structureswhich could be relatedto CP are visible
∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems
Systematic uncertainties
are under investigation
(first estimates - 2 for 3
low energies and of about
5 for 2 top energies)
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4123
Σ[PT N] system size dependence
Linear fit Parabolic fit
10 210
098
1
102
104
106
108
Graph ndf 2χ 4872 4
p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus
ndf 2χ 4872 4p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus
Graph
10 210
098
1
102
104
106
108
Graph ndf 2χ 3119 3
p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus
ndf 2χ 3119 3p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus
Graph
Gaussian fit
10 210
098
1
102
104
106
108
Graph ndf 2χ 3124 3
Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421
ndf 2χ 3124 3Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421
Graph
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4223
Corrections
Corrections for contamination from off-target interactions for40Ar+45Sc were not applied but with applied vertex positionselection they are expected to be less than 1
MMP WUT (NA61SHINE) Quark Matter 2015 Kobe Japan September 20 2015 19 17
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4323
Obtaining 〈W 〉
Glissando MC is based on Glauber model whereas EPOS utilizesparton ladder model
rdquoin our case the inelastic Nucleon-Nucleon cross-section in anucleus is smaller than the corresponding pp cross-section leadingto less binary collisions than in standard Glauberrdquo
Tanguy Pierog core EPOS developer
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4423
Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons
ent
ries
0
100
200
300
400
500
600
700
N0 100 200
[G
eVc
]T
P
0
20
40
60
Mean x 1047Mean y 3454RMS x 1249RMS y 4695
-+h+hNA61SHINE preliminary
]2c2 [GeVT2P0 20 40
]2G
eV2
) [c
T2
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 17RMS 3164
NA61SHINE preliminary
N PT and PT 2 =sumN
i=1 p2Ti are measured for each event
PT 2 is needed to calculate the scaled variance of the inclusive
pT distribution ω[pT ] =p2TminuspT 2
pTusing only event quantities
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4523
Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons
N PT and PT 2 =sumN
i=1 p2Ti are measured for each event
PT 2 is needed to calculate the scaled variance of the inclusive
pT distribution ω[pT ] =p2TminuspT 2
pTusing only event quantities
N0 100 200
P(N
)
5minus10
4minus10
3minus10
2minus10
Mean 1047RMS 1249
NA61SHINE preliminary
[GeVc]TP0 20 40 60
) [c
GeV
]T
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 3453RMS 4701
NA61SHINE preliminary
[GeVc]TNP0 5000 10000 15000
) [c
GeV
]T
P(N
P
7minus10
6minus10
5minus10
4minus10
Mean 3665RMS 8972
NA61SHINE preliminary
]2c2 [GeVT2P0 20 40
]2G
eV2
) [c
T2
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 17RMS 3164
NA61SHINE preliminary
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4023
∆Σ[PT N] energy dependencep+p vs 7Be+9Be vs 40Ar+45Sc
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12-h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 -h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[P∆
06
08
1
12 +h
NA61SHINE preliminary
[GeV]NNs6 8 10 12 14 16 18
N]
T[PΣ
09
1
11
12 +h
NA61SHINE preliminary
[GeV]NNs
810
1214
16rangWlang
1
10
N]
T[P∆0608
112
p+pBe 0-59Be+7 Sc 0-545Ar+40
No prominent structureswhich could be relatedto CP are visible
∆[PT N] lt 1 andΣ[PT N] ge 1 for allsystems
Systematic uncertainties
are under investigation
(first estimates - 2 for 3
low energies and of about
5 for 2 top energies)
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4123
Σ[PT N] system size dependence
Linear fit Parabolic fit
10 210
098
1
102
104
106
108
Graph ndf 2χ 4872 4
p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus
ndf 2χ 4872 4p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus
Graph
10 210
098
1
102
104
106
108
Graph ndf 2χ 3119 3
p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus
ndf 2χ 3119 3p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus
Graph
Gaussian fit
10 210
098
1
102
104
106
108
Graph ndf 2χ 3124 3
Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421
ndf 2χ 3124 3Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421
Graph
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4223
Corrections
Corrections for contamination from off-target interactions for40Ar+45Sc were not applied but with applied vertex positionselection they are expected to be less than 1
MMP WUT (NA61SHINE) Quark Matter 2015 Kobe Japan September 20 2015 19 17
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4323
Obtaining 〈W 〉
Glissando MC is based on Glauber model whereas EPOS utilizesparton ladder model
rdquoin our case the inelastic Nucleon-Nucleon cross-section in anucleus is smaller than the corresponding pp cross-section leadingto less binary collisions than in standard Glauberrdquo
Tanguy Pierog core EPOS developer
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4423
Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons
ent
ries
0
100
200
300
400
500
600
700
N0 100 200
[G
eVc
]T
P
0
20
40
60
Mean x 1047Mean y 3454RMS x 1249RMS y 4695
-+h+hNA61SHINE preliminary
]2c2 [GeVT2P0 20 40
]2G
eV2
) [c
T2
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 17RMS 3164
NA61SHINE preliminary
N PT and PT 2 =sumN
i=1 p2Ti are measured for each event
PT 2 is needed to calculate the scaled variance of the inclusive
pT distribution ω[pT ] =p2TminuspT 2
pTusing only event quantities
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4523
Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons
N PT and PT 2 =sumN
i=1 p2Ti are measured for each event
PT 2 is needed to calculate the scaled variance of the inclusive
pT distribution ω[pT ] =p2TminuspT 2
pTusing only event quantities
N0 100 200
P(N
)
5minus10
4minus10
3minus10
2minus10
Mean 1047RMS 1249
NA61SHINE preliminary
[GeVc]TP0 20 40 60
) [c
GeV
]T
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 3453RMS 4701
NA61SHINE preliminary
[GeVc]TNP0 5000 10000 15000
) [c
GeV
]T
P(N
P
7minus10
6minus10
5minus10
4minus10
Mean 3665RMS 8972
NA61SHINE preliminary
]2c2 [GeVT2P0 20 40
]2G
eV2
) [c
T2
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 17RMS 3164
NA61SHINE preliminary
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4123
Σ[PT N] system size dependence
Linear fit Parabolic fit
10 210
098
1
102
104
106
108
Graph ndf 2χ 4872 4
p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus
ndf 2χ 4872 4p0 000382plusmn 1041 p1 05minus 3563eplusmn05 minus8168eminus
Graph
10 210
098
1
102
104
106
108
Graph ndf 2χ 3119 3
p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus
ndf 2χ 3119 3p0 0006331plusmn 1034 p1 00003486plusmn 00003775 p2 07minus 9549eplusmn06 minus1264eminus
Graph
Gaussian fit
10 210
098
1
102
104
106
108
Graph ndf 2χ 3124 3
Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421
ndf 2χ 3124 3Constant 002617plusmn 1063 Mean 2851plusmn 1487 Sigma 2344plusmn 6421
Graph
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4223
Corrections
Corrections for contamination from off-target interactions for40Ar+45Sc were not applied but with applied vertex positionselection they are expected to be less than 1
MMP WUT (NA61SHINE) Quark Matter 2015 Kobe Japan September 20 2015 19 17
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4323
Obtaining 〈W 〉
Glissando MC is based on Glauber model whereas EPOS utilizesparton ladder model
rdquoin our case the inelastic Nucleon-Nucleon cross-section in anucleus is smaller than the corresponding pp cross-section leadingto less binary collisions than in standard Glauberrdquo
Tanguy Pierog core EPOS developer
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4423
Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons
ent
ries
0
100
200
300
400
500
600
700
N0 100 200
[G
eVc
]T
P
0
20
40
60
Mean x 1047Mean y 3454RMS x 1249RMS y 4695
-+h+hNA61SHINE preliminary
]2c2 [GeVT2P0 20 40
]2G
eV2
) [c
T2
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 17RMS 3164
NA61SHINE preliminary
N PT and PT 2 =sumN
i=1 p2Ti are measured for each event
PT 2 is needed to calculate the scaled variance of the inclusive
pT distribution ω[pT ] =p2TminuspT 2
pTusing only event quantities
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4523
Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons
N PT and PT 2 =sumN
i=1 p2Ti are measured for each event
PT 2 is needed to calculate the scaled variance of the inclusive
pT distribution ω[pT ] =p2TminuspT 2
pTusing only event quantities
N0 100 200
P(N
)
5minus10
4minus10
3minus10
2minus10
Mean 1047RMS 1249
NA61SHINE preliminary
[GeVc]TP0 20 40 60
) [c
GeV
]T
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 3453RMS 4701
NA61SHINE preliminary
[GeVc]TNP0 5000 10000 15000
) [c
GeV
]T
P(N
P
7minus10
6minus10
5minus10
4minus10
Mean 3665RMS 8972
NA61SHINE preliminary
]2c2 [GeVT2P0 20 40
]2G
eV2
) [c
T2
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 17RMS 3164
NA61SHINE preliminary
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4223
Corrections
Corrections for contamination from off-target interactions for40Ar+45Sc were not applied but with applied vertex positionselection they are expected to be less than 1
MMP WUT (NA61SHINE) Quark Matter 2015 Kobe Japan September 20 2015 19 17
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4323
Obtaining 〈W 〉
Glissando MC is based on Glauber model whereas EPOS utilizesparton ladder model
rdquoin our case the inelastic Nucleon-Nucleon cross-section in anucleus is smaller than the corresponding pp cross-section leadingto less binary collisions than in standard Glauberrdquo
Tanguy Pierog core EPOS developer
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4423
Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons
ent
ries
0
100
200
300
400
500
600
700
N0 100 200
[G
eVc
]T
P
0
20
40
60
Mean x 1047Mean y 3454RMS x 1249RMS y 4695
-+h+hNA61SHINE preliminary
]2c2 [GeVT2P0 20 40
]2G
eV2
) [c
T2
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 17RMS 3164
NA61SHINE preliminary
N PT and PT 2 =sumN
i=1 p2Ti are measured for each event
PT 2 is needed to calculate the scaled variance of the inclusive
pT distribution ω[pT ] =p2TminuspT 2
pTusing only event quantities
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4523
Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons
N PT and PT 2 =sumN
i=1 p2Ti are measured for each event
PT 2 is needed to calculate the scaled variance of the inclusive
pT distribution ω[pT ] =p2TminuspT 2
pTusing only event quantities
N0 100 200
P(N
)
5minus10
4minus10
3minus10
2minus10
Mean 1047RMS 1249
NA61SHINE preliminary
[GeVc]TP0 20 40 60
) [c
GeV
]T
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 3453RMS 4701
NA61SHINE preliminary
[GeVc]TNP0 5000 10000 15000
) [c
GeV
]T
P(N
P
7minus10
6minus10
5minus10
4minus10
Mean 3665RMS 8972
NA61SHINE preliminary
]2c2 [GeVT2P0 20 40
]2G
eV2
) [c
T2
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 17RMS 3164
NA61SHINE preliminary
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4323
Obtaining 〈W 〉
Glissando MC is based on Glauber model whereas EPOS utilizesparton ladder model
rdquoin our case the inelastic Nucleon-Nucleon cross-section in anucleus is smaller than the corresponding pp cross-section leadingto less binary collisions than in standard Glauberrdquo
Tanguy Pierog core EPOS developer
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4423
Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons
ent
ries
0
100
200
300
400
500
600
700
N0 100 200
[G
eVc
]T
P
0
20
40
60
Mean x 1047Mean y 3454RMS x 1249RMS y 4695
-+h+hNA61SHINE preliminary
]2c2 [GeVT2P0 20 40
]2G
eV2
) [c
T2
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 17RMS 3164
NA61SHINE preliminary
N PT and PT 2 =sumN
i=1 p2Ti are measured for each event
PT 2 is needed to calculate the scaled variance of the inclusive
pT distribution ω[pT ] =p2TminuspT 2
pTusing only event quantities
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4523
Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons
N PT and PT 2 =sumN
i=1 p2Ti are measured for each event
PT 2 is needed to calculate the scaled variance of the inclusive
pT distribution ω[pT ] =p2TminuspT 2
pTusing only event quantities
N0 100 200
P(N
)
5minus10
4minus10
3minus10
2minus10
Mean 1047RMS 1249
NA61SHINE preliminary
[GeVc]TP0 20 40 60
) [c
GeV
]T
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 3453RMS 4701
NA61SHINE preliminary
[GeVc]TNP0 5000 10000 15000
) [c
GeV
]T
P(N
P
7minus10
6minus10
5minus10
4minus10
Mean 3665RMS 8972
NA61SHINE preliminary
]2c2 [GeVT2P0 20 40
]2G
eV2
) [c
T2
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 17RMS 3164
NA61SHINE preliminary
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4423
Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons
ent
ries
0
100
200
300
400
500
600
700
N0 100 200
[G
eVc
]T
P
0
20
40
60
Mean x 1047Mean y 3454RMS x 1249RMS y 4695
-+h+hNA61SHINE preliminary
]2c2 [GeVT2P0 20 40
]2G
eV2
) [c
T2
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 17RMS 3164
NA61SHINE preliminary
N PT and PT 2 =sumN
i=1 p2Ti are measured for each event
PT 2 is needed to calculate the scaled variance of the inclusive
pT distribution ω[pT ] =p2TminuspT 2
pTusing only event quantities
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4523
Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons
N PT and PT 2 =sumN
i=1 p2Ti are measured for each event
PT 2 is needed to calculate the scaled variance of the inclusive
pT distribution ω[pT ] =p2TminuspT 2
pTusing only event quantities
N0 100 200
P(N
)
5minus10
4minus10
3minus10
2minus10
Mean 1047RMS 1249
NA61SHINE preliminary
[GeVc]TP0 20 40 60
) [c
GeV
]T
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 3453RMS 4701
NA61SHINE preliminary
[GeVc]TNP0 5000 10000 15000
) [c
GeV
]T
P(N
P
7minus10
6minus10
5minus10
4minus10
Mean 3665RMS 8972
NA61SHINE preliminary
]2c2 [GeVT2P0 20 40
]2G
eV2
) [c
T2
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 17RMS 3164
NA61SHINE preliminary
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE
4523
Examples of uncorrected N vs PT distributions40Ar+45Sc at 150A GeVc 0minus 5 all charged hadrons
N PT and PT 2 =sumN
i=1 p2Ti are measured for each event
PT 2 is needed to calculate the scaled variance of the inclusive
pT distribution ω[pT ] =p2TminuspT 2
pTusing only event quantities
N0 100 200
P(N
)
5minus10
4minus10
3minus10
2minus10
Mean 1047RMS 1249
NA61SHINE preliminary
[GeVc]TP0 20 40 60
) [c
GeV
]T
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 3453RMS 4701
NA61SHINE preliminary
[GeVc]TNP0 5000 10000 15000
) [c
GeV
]T
P(N
P
7minus10
6minus10
5minus10
4minus10
Mean 3665RMS 8972
NA61SHINE preliminary
]2c2 [GeVT2P0 20 40
]2G
eV2
) [c
T2
P(P
5minus10
4minus10
3minus10
2minus10
1minus10
Mean 17RMS 3164
NA61SHINE preliminary
E Andronov (for the NA61SHINE Collaboration) Saint Petersburg State University LUHEP
Transverse momentum and multiplicity fluctuations in Ar+Sc collisions at CERN SPS from NA61SHINE