1. Summary Model Data from RHIC experiments Introduction
Based on Ref[11] and used in Ref.[12-14]
Density of particle i is
Compute particle densities for resonances (mass<1.7GeV)
And then we can obtain particle ratios to compare data
Resonances in this model are:
Qi : 1 for u and d, -1 for u and d
si : 1 for s, -1 for s
gi : spin-isospin freedom
mi : particle mass
Tch : Chemical freeze-out temperature
mq : light-quark chemical potential
ms : strangeness chemical potential
gs : strangeness saturation factor
Data from RHIC experiments
Now we have many set of data for dN/dy and ratios from RHIC experiments
However, the centrality bin selection is not the same among experiments
We need to adjust ratios as a function of “common” centrality to combine all of data for centrality dependence of chemical freeze-out
Assumption
dN/dy is linearly scaled by <Npart>
Actually, the data looks like that dependence
Select one set of centrality bins
interpolate dN/dy for the centrality as a function of <Npart>
Introduction
The statistical model approach is established by analysis of particle ratios of the high energy heavy ion collisions in GSI-SIS to CERN-SPS energy [1-7] and elementary collisions (e+e-, pp, and pp) [8,9]. The model describes the particle ratios by the chemical freeze-out temperature (Tch), the chemical potential (m), and the strangeness saturation factor (gs). Many feature of the data imply that a large degree of the chemical equilibration may be reached both at AGS and SPS energies excepting strangeness hadrons. There are the four most important results.
At high energy collisions the chemical freeze-out (inelastic collisions cease) occurs at about MeV and it is `universal' to both elementary and the heavy ion collisions;
The strangeness is not fully equilibrated because gs is [5,8,9] (if strangeness is in equilibration, gs=1 [1];
The kinetic freeze-out (elastic scatterings cease) occurs at a lower temperature  MeV;
The compilation of the freeze-out parameters [10] in the heavy ion collisions in the energy range from A·GeV shows that a constant energy per particle <E>/<N> ~ 1 GeV can reproduce the behavior in the temperature-potential (Tch - mB) plane [10].
We have many hadron yields and ratios including multi-strange hadrons as a function of centrality in Au+Au collisions at sNN = 130 and 200 GeV at RHIC. They allow us to study centrality dependence of chemical freeze-out at RHIC energy.
, , , , ’, , f0(980) , a0 (980), h1(1170), b1 (1235), a1 (1260), f2(1270), f1 (1285), (1295), (1300), a2(1320), f0(1370), (1440), (1420), f1 (1420), (1450), f0 (1500), f1 (1510), f2’(1525), (1600), 2(1670), (1680), 3(1690), fJ(1710), (1700)
K, K*, K1(1270), K1(1400), K*(1410), K0*(1430), K2*(1430), K*(1680)
p, n, N(1440), N(1520), N(1535), N(1650), N(1675), N(1680), N(1700)
(1232), (1600), (1620), (1700)
, (1450), (1520), (1600), (1670), (1690)
, (1385), (1660), (1670)
, (1530), (1690) 
Does it work well?
Yes!!
Demonstration
for 130 GeV Au+Au, <Npart>=317
Three data set for fit
set (4) : p, K, p, L, K*, f, and X
set (5) : p, K, p, L, f, X, and W
set (6) : p, K, p, L, K*, f, X, and W
Centrarity Dependence
Masashi Kaneta
and Nu Xu
RIKEN-BNL and LBL
of Chemical Freeze-out
References
in Au+Au Collisions
at RHIC
Summary
Tch, mq, ms seems to be flat in 130 and 200 GeV Au+Au collisions
Tch ~ MeV
mq ~ 10 MeV (small net Baryon density)
ms ~ 0 MeV (close to phase boundary)
There is a dependence of ratio combinations for the fit parameters
the deviation is <10%
gs increasing with <Npart>
Full strangeness equilibration only central Au+Au collisions at RHIC
Seems to be reached around <Npart>~
Particle combinations for the fit
The chemical freeze-out parameter seems to be sensitive to combination of particle ratios as discussed in Ref.[14]
Hence we checked the following six combinations of particle ratios for the fit:
(1) p, K, and p
(2) p, K, p and L
(3) p, K, p, L, f, and X
(4) p, K, p, L, K*, f, and X
(5) p, K, p, L, f, X, and W
(6) p, K, p, L, K*, f, X, and W