What we have learned and what need to do  at RHIC?
What we have seen
 & what we have not seen
Yasuo MIAKE, Univ. of Tsukuba

RHIC and its operation
New machine at BNL, operational since 2000.
Series of measurements;
Au+Au collisions at ÖsNN = 200 GeV as highest & largest (240 mb-1)
Au+Au at ÖsNN = 19.6, 130, 200 GeV as energy scan
 p+p at ÖsNN = 200 GeV as  comparison data
 d+Au ÖsNN = 200 GeV as controlled comparison

Npart vs Nbinary
Since nucleus is extended object, centrality of collision plays important role.
For comparison with pp or dAu also for centrality study, we need scaling variables.
Npart;
# of participant nucleons
Particle production in hA is prop. to Npart, (Wounded-Nucleon Model)
Nbinary;
# of binary nucleon-nucleon collisions
Pass through at high energy.
Evaluation of Npart & Nbinary by Glauber Model.

Particle production (h distr.)
All the data taken at RHIC(Phobos).
 dn/dh ; wider & larger in higher energies.
Not very flat even at 200 GeV
Note that it is plotted in h.
Features of ‘limiting fragmentation’ seen
Simple application of Lorentz Invariance cannot be done!

Particle production (total mult.)
Total multiplicity per Npart stays constant.
WNM holds in AA.
Slight deviation at higher collision energies.
Deviation from Npart scaling more visible at mid-rapidity.

Transverse momentum distr.
 p0 measured in Au+Au up to ~10 GeV/c.
Second component at high pt region (>4 GeV/c).
Exponential + Power law
Importance of hard process at high pt region
èComparison with pp

Comparison of Au+Au and pp
For comparison, Au+Au & pp spectra scaled by Nbinary.
In peripheral collisions,
Au+Au ~ pp
In central collisions,
Au+Au < pp
Suppression of yield ?
Loss of pT ?

Expected scaling behavior
Total mult; Npart scaling
Low pt region
Jets; Nbinary scaling
High pt in high energy collisions
èExpected behavior;
From Npart scaling at low pt to Nbinary scaling at high pt region.

High pt suppression (Jet Quench)
Taken as a big surprise!
Clear high pt suppression in Au+Au, while not observed in d+Au.
Since not seen in dAu, effect is not due to initial state, but final state.

Disappearance of
back-to-back corr.
Direct evidence of loss of ‘jet’
Azimuthal correlation w.r.t. high pt leading particle (trigger).
 pp ; clean di-jet
 dAu; similar to pp
Au+Au; Similar on the same side (suggesting jet-like mechanism), but b-to-b disappeared
Effect is not in initial but in final stage
Energy loss of partons in dense matter created in Au+Au

Energy loss of parton
Energy loss of charged particle in matter;
Collisions with atomic electrons, proportional to the electron density
Radiative energy loss.
èBether-Heitler Formula
In QCD, major loss will be radiative
Energy loss of parton should be proportional to the gluon density

Empirical analysis of energy loss
Empirical analysis of energy loss
Sloss from the pT averaged RAA.
20 % energy loss in central.
Sloss prop. Npart2/3 implies Sloss prop. L2.

Next step,
Particle identification !
So far, data shown are charged & p0
Richer physics from data
w. particle identification !

Thermal equilibrium
Particle yield ratios well parameterized with Tch, mq,ms.
Chemical Eq. holds
Strangeness
Tch ~ 170 - 180 MeV
Transverse distr well parameterized with Tth, br.
Thermal Eq.
Tth ~ 110 - 120 MeV
Proton ~ pion at > 2 GeV/c

Collective expansion in pt ditr
Kinematical eq.+Collective expansion velocity
Fit with low pt region

Thermal equilibrium
Close to the theoretical phase boundary
Similar TRHIC and TSPS implies the existence of the phase boundary.

Azimuthal anisotropy v2
In non-central col., participant has almond shape at initial stage.
Emission of particle in azimuth is influenced by l & R relation.
l >> R ; isotropic
l << R ; hydro.èelliptic
 Anisotropy of the coordinate space converted to that of the momentum space.
As the system expands, effects vanishes
Sensitive to the initial stage

スライド19
Large azimuthal anisotropy
Getting larger & larger in higher energies.
Scaling w. h-ybeam !?

Failure of hadronic scenarios
Hadronic scenario underestimates v2 at RHIC.
V2 ~ 1 - 2 %
System thermalized early with the mechanism other than hadronic rescatterings.

From hydro to jet region
Low pt region;
 v2(p) > v2(K) > v2(p)
Good agreement with hydrodynamics
Very early thermalization (0.6 fm/c) required !
Deviations from the hydro at higher pt ;
(> 2 GeV/c) jet region
 v2(p,K) < v2(p)
Order Reversed !
What is the mechanism to create v2 in the jet region?
èEnergy loss of parton !

Quark recombination model
Other possible production mechanism of high pt hadrons than the frag.
Quarks, anti-quarks combine to form mesons and baryons from universal quark distribution, w.
Mesons from 2 q with 1/2 of pT, baryons from 3 q with 1/3 of pT.
 Bacause of the steep distr. of w, this process wins at mid-pt.
Characteristic scaling features expected.
èQuark number scaling

Proton dominance by RECO
Recombination model explains the proton dominance.

Quark number scaling
Quark number scaling clearly observed in v2.
Distinct difference between Baryon Meson also seen in RCP

Puzzle of baryon dominance
In peripheral, p/p ratio similar to those in ee/pp suggesting fragmentaton process.
Fragmentation process should show np < np as seen in ee/pp.
In central Au+Au, p/p ratio increases with centrality, suggesting other mechanism like RECO.
But, RCP~1 (Nbinary scaling) implies hard process.

Test of ‘jet-like’ property
Excess of baryon due to the recombination of thermal ‘quarks’?
Test jet-like properties in protons and mesons
If baryons are all made of thermal quarks w. RECO, there should be no other correlation than the elliptic flow of the thermal quarks.

Partner yields of baryon/meson
Near side ;
~twice of partner yields in Au+Au
Away side ;
Baryons at mid-pT originate from the same jet-like mechanism as mesons.

Open charm production in AA
consistent with Ös systematics and binary scaling.
Centrality dependence shows Nbinary scaling.

Does charm flow?
Data seem to favor flow of the charm.
If so, thermalized & flowing charm supports quark-coalescence &  formation of QGP.

Summary
We have seen partonic matter,ie, a QGP!
Successful description of the system in terms of statistical thermo-dynamics;
Particle yield ratios in Tch, m
Kinematical distribution in Tth and b
Partonic
Large azimuthal anisotropy cannot be created with hadronic process.
High pt suppression and disappearance of back-to-back is at parton level.
Successful description of quark recombination;
Phenomenological, but universal quark distribution function!
Looking for signature of ‘phase transition’

Particle production vs. energy
Smooth as a function of collision energy
Total charged mult., dn/deta, shape

Saturation of v2 !?
Previous comparison shows a smooth change with energy.
‘Sate of the Art’ analysis has revealed the saturation of v2 in  ÖsNN = 60 - 200 GeV, which may indicate softening of EOS.

What need to be done
What we have seen is partonic matter.
What we have not seen clearly is the phase transition.
Except for the saturation of v2 !?
When and how it happens need to be investigated
Homeworks
HBT puzzle
J/y suppression?
Direct photon
Energy loss of charm

HBT puzzle
Extended life time of fireball expected if QGP.
3D analysis of HBT
Rout/Rside should reflect life time of fireball.
Measured Rout/Rside ~ 1 !?
Failure of theories

J/y in Au+Au collisions
No clear conclusion yet.
100 times better statistics recorded on tape.
Data analysis in progress !

Direct photon
Direct photon = ‘photon’ excess in experiment.
‘Photon’ excess = inclusive g - decay g
Consistent with binary scaling

Ratios of particle production
Hadro-chemical eq. holds.

Energy dependence of v2 (2)
RHIC vs SPS
One exception?