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CERN Correlations/Fluctuations/Crit.pt. M. J. Tannenbaum Brookhaven National Laboratory Upton, NY 11973 USA. CERN. Nice AGS data after my time See also J.Klay, et al (E895) PRC68, 054905 (2003). Chemical Freezeout. MJT-Thermal models at LHC more interesting for J/Psi--recombination?.
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CERNCorrelations/Fluctuations/Crit.pt M. J. Tannenbaum Brookhaven National Laboratory Upton, NY 11973 USA CoFlCr-Fi
CERN CoFlCr-Fi
Nice AGS data after my time See also J.Klay, et al (E895) PRC68, 054905 (2003) CoFlCr-Fi
Chemical Freezeout MJT-Thermal models at LHC more interesting for J/Psi--recombination? CoFlCr-Fi
Dieter Roehrich UiB K/ vs rapidity at 62.4 GeV BRAHMSpreliminary • Clear splitting of the ratio for positive and negative particles CoFlCr-Fi
How to compare SPS and RHIC data? • use the antiproton/proton ratio: ratios at midrapidity (SPS) and at different rapidities (RHIC) CoFlCr-Fi
Stopping (1) CoFlCr-Fi
K-/K+ vs pbar/p 62.4 GeV CoFlCr-Fi
Paul Sorensen CoFlCr-Fi
H.-G. Ritter CoFlCr-Fi
H.-G. Ritter CoFlCr-Fi
Correlations/Fluctuations CoFlCr-Fi
Tom Trainor CoFlCr-Fi
BUT CoFlCr-Fi
MJT-There they go again CoFlCr-Fi
Michael Daugherity-UTexas CoFlCr-Fi
Michael Daugherity-UTexas CoFlCr-Fi
xp = ln(1/xp) Fragment Distributions on Momentum fragmentation functions on logarithmic variables non-pQCD physics! D(x,s) conventional: fragment momentum relative to parton momentum D(xp,s) LEP PETRA e-e pQCD scaling violations fragmentation function xp = phadron/pparton D(x,s) D(y, ymax) D(y,ymax) D(ln(p),s) alternative: fragmentation functions on rapidity y Kettler-UW ln(p) rapidity y CoFlCr-Fi
Δη<0.7 integrated over Δφ<π/2 PHENIX: Au+Au √sNN=200GeV Multiplicity density measurements in PHENIX K. Homma Probability (A.U.) PHENIX Preliminary small dh large dh Zero magnetic field to enhance low pt statistics per collision event n/<n> Negative Binomial Distribution can describe data very well. CoFlCr-Fi
Relations betweenN.B.D k and integrated correlation function Negative Binomial Distribution (Distribution from k Bose-Einstein emission sources) Integrated correlation function can be related with 1/k CoFlCr-Fi
MJT N.B.D. k vs. dh PHENIX Preliminary Homma k(dh) 10 % centrality bin width Function can fit the data remarkably well ! dh PHENIX Preliminary 5% centrality bin width CoFlCr-Fi
PHENIX Preliminary 10% cent. bin width 5% cent. bin width a PHENIX Preliminary Shift to smaller fluctuations b PHENIX Preliminary x • can absorb all rapidity independent fluctuations caused by; 1. finite centrality bin width (initial temperature fluctuations) • 2. azimuthal correlations • (under investigation) • 3. Whatever you want. What b parameter represents--the centrality(long range) correlation Our parametrization can produce stable results on a and x. Np
Correlation length and static susceptibility Divergence of correlation length is the indication of a critical temperature. PHENIX Preliminary Au+Au √sNN=200GeV Correlation length x(h) Divergence of susceptibility is the indication of 2nd order phase transition. T~Tc? Np PHENIX Preliminary Au+Au √sNN=200GeV c k=0 * T Np CoFlCr-Fi
Jeff Mitchell-Correlation Length vs. Centrality 0.2 < pT < 3.0 GeV/c 0.2 < pT < 3.0 GeV/c The correlation lengths are small, but cannot be explained by detector resolution effects. Correlation lengths increase from 200 to 62 GeV. CoFlCr-Fi
Correlation Lengths: Universal Scaling 0.2 < pT < 3.0 GeV/c 0.2 < pT < 3.0 GeV/c These points have been scaled to match the 200 GeV data. Notice that the correlation lengths exhibit a universal behavior as a function of centrality. The universal curves can be described by a power law function of Npart. CoFlCr-Fi
0.2 < pT < 0.75 GeV/c Universal Scaling: pT-independent 0.2 < pT < 0.75 GeV/c The power law curves describing the data are independent of pT range. The scaling appears to be driven by low pT processes. CoFlCr-Fi
! ! CoFlCr-Fi