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Baryon Production Baryon Production in Heavy Ion in Heavy Ion
CollisionsCollisions
Paul Sorensen
manifestations of multi-parton dynamicsmanifestations of multi-parton dynamics
San Diego — March 2006
2
heavy-ion collisionsheavy-ion collisions
Quark-hadron transition Hadrons form - protons & neutrons
t = 10-6 sec
T=1 GeV
t = 51017 secT=1 meV
The Planck epoch
Today Nucleus-nucleus collisions may probe the physics of this quark-hadron transition197Au
197Au
UrQMD Group – Frankfurt
√sNN=200 GeV
San Diego — March 2006
3
centrality dependencecentrality dependenceRCP is the number of particles produced in head-on collisions divided by the number produced in grazing collisions (expected increase with system size scaled out)
For intermediate hadron probes, RCP depends on the number of quarks in the hadron.
Production increases more quickly for hadrons with three instead of two quarksCentral: head-onhigher density
fireball
Peripheral: grazingless dense
pT indicates the length scale the hadron can probe
0.6 < pT/n (GeV/c) < 2.0
0.33 > (fm) > 0.1
San Diego — March 2006
4identified particle identified particle RRAAAA/R/RCPCP
A large suppression of hadrons is observed• Measurements interpreted in terms of energy-loss for quarks and gluons in medium
The suppression patterns depend on particle-type• Baryons exhibit less suppression• Measurements interpreted several ways: hydro-like flow, protons scaling with N-binary, coalescence/recombination, gluon junctions etc.
e-Print Archive: nucl-ex/0510052
San Diego — March 2006
5
baryon to meson ratiobaryon to meson ratio
the faster increase of baryon production is common to many systems: it can’t be q vs. g fragmentation multi-parton dynamics (power corrections, higher
twist)before being applied in Au+Au factorization should be established
experimentally
San Diego — March 2006
6
// expectations expectations
the expectation for Ω/ is probably not correct given the power-law shape in p+p
Oregon Reco.
ratios may depend on flavor
San Diego — March 2006
7
lower √slower √sNNNN
is the baryon enhancement just a lack of baryon suppression?
at lower √sNN the RCP of baryons is
above unity
San Diego — March 2006
8anti-baryon to baryon anti-baryon to baryon ratiosratios
gluon vs quark hadronization predictions don’t work in A+A or p+p collisions“soft” physics extends quite high in pT
San Diego — March 2006
9implications for “charm” implications for “charm” RRAAAA
charmelectron branching ratios depend on the hadron type: c decays yield electrons less frequently than D0 decays.
when using non-photonic electrons to look for charm, charm can hide in the c
A baryon enhancement in the charm sector can result in a non-photonic electron suppression
San Diego — March 2006
10
an examplean example• consider a charm spectrum that follows a power law• for Au+Au modify the default c/D ratio to match the /KS (while holding the total number charm hadrons fixed)• compare the decay electron spectra in p+p and Au+Au
The ratio shows that when c/D has the same form as /KS, even if the charm yield follows Nbin scaling, the electron spectrum will be
suppressed
decay electron RAA
San Diego — March 2006
11
example 2example 2
• The resulting electron RAA is below preliminary measurements!• Implies energy loss for charm quarks may be smaller than for light quarks
Consider c/D similar to /KS and charm RAA similar to light hadron RAA
Data are above the curve
we cannot say charm quarks are suppressed as much as light quarks
decay electron RAA
San Diego — March 2006
12
preferred charm Rpreferred charm RAAAAA 2 analysis shows that for this scenario, preliminary PHENIX data
prefer charm hadron RAA = 1.35 light hadron RAA
decay electron RAA
San Diego — March 2006
13
higher phigher pTT
A charm baryon enhancement as parameterized by /KS does not change the non-photonic electron RAA above 5 GeV/c
but what pT would a c/D enhancement persist to? We should measure c.
bottom contribution is highly uncertain and not considered here?
decay electron RAA
San Diego — March 2006
14
what about Dwhat about Dss/D/D00
enhance the Ds yield by 50% (for this plot the Ds/D0 ratio is taken to be pT independent, not really a good assumption)
Depending on the poorly known branching ratio, a Ds enhancement can also contribute to an electron suppression
decay electron RAA
San Diego — March 2006
15
azimuthal dependence: vazimuthal dependence: v22azimuthal momentum-space anisotropy: a self
quenching probe of early interactions
x
zNon-central Collisions
€
The initial spatial anisotropy evolves
( )via interactions and density gradients
into a momentum space anisotropy
Ed3N
d3p=
1
2π
d2N
pTdpTdy1+ 2vn cos nΔϕ( )
n=1
∞
∑ ⎛
⎝ ⎜
⎞
⎠ ⎟
v0 "radial flow" , v1"directed flow"
v2 "elliptic flow" (largest).
in-plane
out-of-plane
y
Au nucleus
Au nucleus
sensitivity to the system geometry can arise through secondary rescattering, soft-
gluon radiation, etc.
San Diego — March 2006
16in-plane baryon in-plane baryon enhancementenhancement• At intermediate pAt intermediate pTT, v, v22 of hadrons display of hadrons display quark number quark number
dependencedependence• Baryon yields have more in-plane enhancement than meson Baryon yields have more in-plane enhancement than meson yieldsyields
San Diego — March 2006
17
quark-number scalingquark-number scaling
PR
L 92
(20
04
) 05
23
02
; PR
L 91
(20
03
) 18
23
01
Since hadronization is a soft process, it can be modified by the presence of a QGP.
Simple models of hadronization by coalescence relate quark and hadron v2:
v2q = v2
h(pT/n)/n,
n is the number of quarks in the hadron
Models imply
v2 is developed before hadrons form
deconfinement: long range interactions amongst quarks not hadrons
San Diego — March 2006
18
run 4 vrun 4 v22(p(pTT/n)/n update/n)/n updateWith higher precision, fine structure is observed: the scaling doesn’t follow NCQ (3 vs 2) exactly
Is this related to a jet component, a breakdown of simple approximations, or something new?
Q: Are coalescence models invalidated?
A: Not necessarily. Imperfect v2/n was also anticipated within ReCo models.
STAR Preliminary
San Diego — March 2006
19
a closer looka closer lookInclusion of gluons in recombination was
predicted to lead to a larger meson v2/n than baryon
v2/n:B.Müller, et al. nucl-th/0503003
Including contributions from sea quarks and gluons
should cause deviations from v2/n
To 1st order: the constituents look like massive valence quarks with no sub-structure
gProbing more deeply reveals substructure in the form of sea quarks or gluons
Further daughter partons are revealed as the scale Q2 is increased
g qq
STAR Preliminary
San Diego — March 2006
20comparisons to comparisons to predictionspredictionsInclusion of gluons in
recombination was predicted to lead to a larger
meson v2/n than baryon v2/n:
B.Müller, et al. nucl-th/0503003
Tantalizing indication for the fate of gluons and the nature of the constituents
Systematic errors on the data and calculations need to be carefully addressed
San Diego — March 2006
21comparisons to comparisons to predictionspredictions
Effect of the quark momentum distribution
inside the hadron:V.Greco, et al.
Phys.Rev.C70:024901,2004
A momentum distribution within hadrons leads to v2/n breaking similar to data.
Fragmentation component may be necessary at higher pT
San Diego — March 2006
22comparisons to comparisons to predictionspredictions
The original parton v2 is not recovered from scaling so the opacity puzzle remains.
Calculation fails for p/ and RCP but it does predict the gradual drop in v2 at high pT.
MPC + Coalescence/Jetset: jet fragmentation
contribution + spatial correlations also can distort
the scaling of v2/n:D. Molnar nucl-th/0406066
pT/n
San Diego — March 2006
23
from hadronic x-sections?from hadronic x-sections?
here, larger proton v2 is from the additive quark model for hadronic cross-sections
/ ratio should distinguish hadronic cross-sections from coalescence.
Is there a duality between the pictures?
• interacting co-moving quarks form a hadron• interacting hadrons described by the sum of their constituent quarks
Both yield ~NCQ scaling.
Y. Lu, et. al.
San Diego — March 2006
24
CoronaCoronaDemonstrates that the corona effect can yield interesting pT and particle type dependences
What about a “corona” in e+e-will the simple parameterization of the core get the K* or v2 and
RCP?
San Diego — March 2006
25
another B/M enhancementanother B/M enhancement
The large away-side B/M ratio also points to multi-gluon/quark dynamics:
wherever the density of comoving constituents is largerin-plane: v2
central vs. peripheral: RCP and in the “wake” of quenched jets, it becomes easier to produce baryons.
near-sidelike p+p
away-side: comoving q/g enhance the
probability for baryon production
San Diego — March 2006
26Conclusions:Conclusions:
the baryon enhancement in e+e-ggg seems to rule out a quark vs gluon jet fragmentation explanation: pbar/p ratios also confirm this
a mass hypothesis is strongly disfavored by , , , and RCP and v2 (corona?)
Baryon junctions may be disfavored by the enhancements at √sNN=17 GeV (Nbin)
The baryon enhancement is generic to many systems (e+e-, d+Au): does v2/n point to interactions within a deconfined phase!?
Some open questions:Some open questions:Do diquarks play a role in our observations?
Why does the [MPC + Coalescence/Jetset + spatial correlations] model fail to describe the data? Which part is wrong?
How much do hadronic cross sections contribute to the species dependence? Definitely shouldn’t be overlooked!
Outlook:Outlook:changes in hadronization induced by high energy densities may be a valuable tool to study -symmetry and confinement