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Future Exclusive Measurements at HERMES
Ralf Kaiser, University of Glasgowon behalf of the HERMES Collaboration
The Recoil Detector Upgrade
Data Taking in 2006/7
Projections for Exclusive Measurements
– p.1/26
HERMES Physics
Development from inclusive over semi-inclusive toexclusive measurements over decade 1995 - 2005.
Physics emphasis moved from polarised structurefunctions to quark helicities and transversity to GPDs.
Upgrades/changes to the experimental apparatus:RICH detector for semi-inclusive measurements,transverse target for transversity
The final step is the recoil detector upgrade forexclusive measurements, the focus of the final yearof HERMES data taking.
Recent exclusive HERMES results:C.Hadjidakis (overview), A.Rostomyan, Z.Ye.
R.Kaiser - HERMES Future – p.2/26
HERMES with Recoil Detector
RecoilProton
1
0
2
−1
−2
m
LUMINOSITY
CHAMBERSDRIFT
FC 1/2
DVC
MC 1−3MONITOR
BC 1/2
BC 3/4
PROP.CHAMBERS
FIELD CLAMPS
PRESHOWER (H2)
CALORIMETER
DRIFT CHAMBERS
TRIGGER HODOSCOPE H1
0 1 2 3 4 5 6 7 8 9
MAGNET
STEEL PLATE
TARGETCELL
HODOSCOPE H0
27.5 GeV
e+
m
TRD
e
γ
RICH
▽R.Kaiser - HERMES Future – p.3/26
HERMES with Recoil Detector
RecoilProton
−1
−2
1
0
2
RICH
e
γ
m
LUMINOSITY
CHAMBERSDRIFT
FC 1/2
DVC
MC 1−3MONITOR
BC 1/2
BC 3/4
PROP.CHAMBERS
FIELD CLAMPS
PRESHOWER (H2)
CALORIMETER
DRIFT CHAMBERS
TRIGGER HODOSCOPE H1
0 1 2 3 4 5 6 7 8 9
MAGNET
STEEL PLATE
HODOSCOPE H0
27.5 GeV
e+
m
TRD
DETECTORRECOIL
R.Kaiser - HERMES Future – p.3/26
HERMES Recoil Detector - 3D CAD
R.Kaiser - HERMES Future – p.4/26
Goals of the Recoil Detector
Resonances
DVCS+BHsemi-incl.
Detection of all reaction products over theentire momentum range to guarantee theexclusivity of the reaction:
Recoil protons
Pions and protons from backgroundprocesses e.g. ∆+-production withbremsstrahlung
Photons from π0 → γγ
Sufficient t-resolution to allow binning in t.
Si-detector: low t, SciFi detector: higher t
Improved systematics due to removal ofbackground (see left).
Improved statistics due to high densityunpolarised target.
R.Kaiser - HERMES Future – p.5/26
Exclusivity
0
0.02
0.04
0.06
0.08
0.1
0.12
0 20 40Mx2 [GeV
2]
rate Without Recoil Detector
0
0.01
0.02
0.03
0.04
0.05
0.06
0 20 40Mx2 [GeV
2]ra
te
MC totalBH/DVCSBH/DVCS with ∆exclusive π0
semi-inclusive / VMs
With Recoil Detectorand all Cuts
Coplanarity cut, pion suppression, photon detection; efficiency ∼50%(MC simulation)
Reduction of the non-exclusive background:
semi-incl.: 5%→≪1%
associated prod.: 11%→∼1%
R.Kaiser - HERMES Future – p.6/26
Recoil Detector - Complete Setup
R.Kaiser - HERMES Future – p.7/26
Recoil Detector EventEND VIEW LOOKING DOWNSTREAM
y
x
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END VIEW LOOKING DOWNSTREAMy
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SFT (SciFi) DETECTOR UNFOLDED
[angle is measured w.r.t. y axis, clockwise; SFT shift O=-10.1721 / I=-20.0891 deg.]
-20.0891 159.9109 339.9109
-10.1721 169.8279 349.8279
INNER SciFi
OUTER SciFi
SFI1 SFI2 SFI3 SFI4 SFO1 SFO3Thresholds ON
Pd
SciFi
Si
Target
SFI1 SFI2 SFI3 SFI4 SFO1 SFO3
2
1 4
3Si Z
y
x
Event number: 2874310
Date: Wed Mar 29 14:11:18 MEST 2006
Input file: /tmp/xtc2ed.5442.pipe
51115161720212426313233464752535455616263646970717273747576777879808182838485868788899091929394969798105106
79 7928313839727374757677788687122
91515202129498586878889901132838626364656667707172737475767778798081828384858788899099100101102103104105106107108
91105106107 6581828384851021081091101111121131141151221920216466107116
8310310511111551117182045757677828485104110123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128
971213141516171819202223242527283031333436373839404142439899 24252829313234363739404243454648495152535455565758596061636466676970727376787980828890919394969799100102103105106108109119123
3637303133344344454647484950515253545561626364656667767879808182838485869091929394959697105123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128
18192022272829303132333435363738394041424344454647484950515254555663646667697076777879808182838485117118121122127 11512712131819204951525472787981828384858687888990919394969799100102103114116122
1920103105106
106105134135
80 99
6
Event with single track in SFT and photon detector.
Average hit multiplicity per SFT layer ∼3.
R.Kaiser - HERMES Future – p.8/26
HERMES Data Taking HERA Run II
2002-5 transverse target 2006-7 unpol. targete− March-June 06
R.Kaiser - HERMES Future – p.9/26
Target Cell AccidentMarch: damage probablydue to accidental beam loss
May: radiation damage tosilicon detector due tosecond incident
Si detector removed forrepair, re-installation end ofJune
DVCS BCA affected most,lose recoil protons at small t
SciFi detector available forpart of the e− data, MC stu-dies under way.
R.Kaiser - HERMES Future – p.10/26
HERMES Statistics Overview (pb−1)
HERA-I (1996-2000) H D 4He N2 Ne Kr Xee− 11 50 - - - - -e+ 240 320 30 50 86 30 -
HERA-II (2002-2007)e− 250 150 - - - 50 50e+ 820 200 - - - 55 30
of which e+ with RD 750 200 - - - - -
DVCS BCA: Published 10 pb−1 e−. Expect to have 250 pb−1 e−.
Total cross section for VM and PSM production on hydrogen: 1.3 fb−1.
2006/7 running: 23M → 56M DIS events on (unpolarised) hydrogen
Average beam polarisation only ∼35% for HERA-II, while ≥50% for HERA-I.
R.Kaiser - HERMES Future – p.11/26
Exclusive Processes to Constrain GPDs
Quantum number of final state
selects GPD.
DVCS e⇆
p → epγ H
(BSA/BCA) e± → epγ
Vector ep → epρ0 H,EMesons ep → epφ0
Pseudoscalar ep → enπ+∼
H,∼
E
Mesons
HERMES measures many different final statessimultaneously with the same spectrometer !
R.Kaiser - HERMES Future – p.12/26
Exclusive Measurements at HERMESProcess Comments Learn about GPDs Recoil Detector Can Do
DVCS BCA unique ! D-term desirable (but n/a) ++
DVCS BSA vs xB , t constrain Hu desirable ++
∆DVCS first measurement N → ∆ GPDs required ?
σL(ρ0, φ0) vs Q2 quarks/gluons not necessary ++
σL(ω0, ρ+) vs Q2 quarks/gluons not necessary +
ρ : ω : φ cross.sec. ratio H, E flavours not necessary +
ρ0, φ0 SDME vs t comp. GPD model not necessary ++
σL(π+) vs xB
∼
Hu −∼
Hd not necessary ++
π+ : π0 : η cross.sec. ratio∼
H,∼
E flavours not necessary +
K+Λ0 transv. asym. AK+Λ∼
Hp→Λ
,∼
Ep→Λ
required ?
π∆ vs xB N → ∆ GPDs required ?
▽R.Kaiser - HERMES Future – p.13/26
Exclusive Measurements at HERMESProcess Comments Learn about GPDs Recoil Detector Can Do
DVCS BCA unique ! D-term desirable (but n/a) ++
DVCS BSA vs xB , t constrain Hu desirable ++
∆DVCS first measurement N → ∆ GPDs required ?
σL(ρ0, φ0) vs Q2 quarks/gluons not necessary ++
σL(ω0, ρ+) vs Q2 quarks/gluons not necessary +
ρ : ω : φ cross.sec. ratio H, E flavours not necessary +
ρ0, φ0 SDME vs t comp. GPD model not necessary ++
σL(π+) vs xB
∼
Hu −∼
Hd not necessary ++
π+ : π0 : η cross.sec. ratio∼
H,∼
E flavours not necessary +
K+Λ0 transv. asym. AK+Λ∼
Hp→Λ
,∼
Ep→Λ
required ?
π∆ vs xB N → ∆ GPDs required ?
R.Kaiser - HERMES Future – p.13/26
DVCS Beam Charge Asymmetry
GPD H dominates,∼
H and E suppressed[Goeke et al. PPNP 47(2001)401]
t-dependence candistinguish different GPDmodel versions.
More background in highert-bins.
25x e−1 statistics !
A-D Curves from code byVGG for HERMES kinema-tics.
R.Kaiser - HERMES Future – p.14/26
DVCS Beam Spin AsymmetryHu(x = ξ, ξ, t) (modeldepedent)
GPD modelsdistinguishable viat-dependence
1996-2000: PB ≈ 55%2002-2007: PB ≈ 35%
Statistics marginal for2-dim dependences.
A-E Curves from code byVGG for HERMES kinema-tics.
R.Kaiser - HERMES Future – p.15/26
ρ0 Spin Density Matrix Elements
0 decay plane0ρlepton scattering
plane
Φ
π-π+
0 ρ
0 ρ
’N
e
φ
’γ*
production planeρ
π+
-
ρ
θ
N
Rest Frame
π’
e
φ
Photon-Nucleon CMS
N
SDMEs from maximumlikelihood fit minimisingdifference between 3-dim.(cos Θ, φ,Φ) decay anglematrix and fullyreconstructed high statisticsMonte Carlo data set.
15 ’unpolarised’ SDMEs,8 ’polarised’ SDMEs(require beam polarisation)
For SDME definitions see[Schilling,Wolf Nucl.Phys.B61(1973)381].
R.Kaiser - HERMES Future – p.16/26
Spin Density Matrix Elements for ρ0/φ0
▽R.Kaiser - HERMES Future – p.17/26
Spin Density Matrix Elements for ρ0/φ0
R.Kaiser - HERMES Future – p.17/26
SDMEs t-Dependence
0.4
0.6
0.8
0 0.25
0
0.05
0 0.25
-0.1
0
0 0.25
-0.1
0
0 0.25
-0.1
0
0.1
0 0.25
-0.05
0
0 0.25
0.2
0.4
0 0.25
0
0.05
0.1
0 0.25
-0.3
-0.2
-0.1
0 0.25
-0.025
0
0.025
0 0.250
0.1
0.2
0 0.25
0.1
0.2
0 0.25
0
0.02
0 0.25
-0.15
-0.1
0 0.25
-0.025
0
0.025
0 0.25
GPD-based modelfor t-dependence[Goloskokov,Kroll,
EPJ C 42 (2005) 02298]
Model for Q2 > 3GeV2, 2-gluonexchange only.
2-quark exchangebeing incorporated.
ProjectionsA.Borissov.
R.Kaiser - HERMES Future – p.18/26
Exclusive π+-Cross-Section
)2 (GeV2Q0 2 4 6 8 10
cros
s se
ctio
n (n
b)
1
10
210
0.02
Summary
HERMES is playing a pioneering role exploring thepotential of exclusive photon/meson production in thecontext of Generalised Parton Distributions.
The new Recoil Detector, combined with anunpolarised target, is expected to lead to significantimprovements of both statistics and systematics inexclusive measurements at HERMES.
In the last year of data taking 2006/7 HERMES isexpecting to take about as much data as in the 10years before.
R.Kaiser - HERMES Future – p.20/26
Additional Slides
R.Kaiser - HERMES Future – p.21/26
Recoil Detector - Kinematics
0
0.2
0.4
0.6
0.8
1
1.2
1.4
0 0.2 0.4 0.6 0.8 1 1.2 1.4θ [rad ]
p [G
eV/c
]
SciFiSciFi
SiliconSilicon
Silicon(positiononly)
R.Kaiser - HERMES Future – p.22/26
DVCS Asymmetries
Beam Spin ALU (φ) =dσ↑(φ)−dσ↓(φ)dσ↑(φ)+dσ↓(φ) ∝ sin φ ⇒ Im(H)
Beam Charge Ach(φ) =dσ+(φ)−dσ−(φ)dσ+(φ)+dσ−(φ) ∝ cos φ ⇒ Re(H)
x
y
z φ
~pγ
~k
~k′
~q
uli
R.Kaiser - HERMES Future – p.23/26
SDMEs t-Dependence: r500
0
0.05
0.1
0.15
0.2
0.25
-0.05 0 0.05 0.1 0.15 0.2 0.25 0.3 0.35 0.4
R.Kaiser - HERMES Future – p.24/26
Q2-Dependence of R = σL/σT
10-1
1
10-1
1 10
Q2 [GeV2]
R=σ
L/σ
T
HERMES PRELIMINARY 〈W〉=5 GeVprotonprojection for2002-2007 1.3 fb-1
CLAS 〈W〉=2.1 GeVDESY 〈W〉=2.6 GeV
CORNELL 〈W〉=3.5 GeV
NMC 〈W〉=14 GeV
COMPASS PREL.〈W〉=14 GeVE665 〈W〉=18 GeV
ZEUS 〈W〉=50 GeVH1 〈W〉=75 GeV
R.Kaiser - HERMES Future – p.25/26
Exclusive Pion-Pair Production
0.2 0.4 0.6 0.8 1 1.2 1.4
-0.3
-0.2
-0.1
0
0.1
0.2
0.3
0.4
0.5
Hydrogen
mππ [ GeV ]
R.Fabbri
R.Kaiser - HERMES Future – p.26/26
sf �lue {hspace *{-1cm}Future Exclusive Measurements at HERMES}sf �lue {HERMES Physics}sf �lue {HERMES with Recoil Detector}sf �lue {HERMES Recoil Detector - 3D CAD}sf �lue {Goals of the Recoil Detector}sf �lue {Exclusivity}sf �lue {Recoil Detector - Complete Setup}sf �lue {Recoil Detector Event}sf �lue {HERMES Data Taking HERA Run II}sf �lue {Target Cell Accident}sf �lue {HERMES Statistics Overview (pb$^{-1}$)}sf �lue {Exclusive Processes to Constrain GPDs}sf �lue {Exclusive Measurements at HERMES}sf �lue {DVCS Beam Charge Asymmetry}sf �lue {DVCS Beam Spin Asymmetry}sf �lue {$ho ^0$ Spin Density Matrix Elements}sf �lue {hspace *{-0.5cm} Spin Density Matrix Elements for $ho ^0$/$phi ^0$}sf �lue {SDMEs $t$-Dependence}sf �lue {Exclusive $pi ^+$-Cross-Section}sf �lue {Summary}sf �lue {Additional Slides}sf �lue {Recoil Detector - Kinematics}sf �lue {DVCS Asymmetries}sf �lue {SDMEs $t$-Dependence: r$_{00}^5$}sf �lue {$Q^2$-Dependence of R = $sigma _L/sigma _T$}sf �lue {Exclusive Pion-Pair Production}