A. ISMD 2003, Cracow Indication for RHIC M. Csanád, T. Csörgő, B. Lörstad and A. Ster (Budapest & Lund) Buda-Lund hydro fits to.

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A. ISMD 2003, Cracow Indication for RHIC M. Csanád, T. Csörgő, B. Lörstad and A. Ster (Budapest & Lund) Buda-Lund hydro fits to spectra and radii Buda-Lund hydro model Buda-Lund fits to final run-1 RHIC data Comparison of results and models Indication for a hot center

A. ISMD 2003, Cracow  We have strong interaction analogues of familiar phases  Nuclei behave like a liquid  Quark Gluon Plasma –“ Ionize” nucleons with heat –“Compress” them with density  New state of matter Phases of QCD Matter Z. Fodor and S.D. Katz: T c ~ 170 MeV even at finite baryon density. Cross over like transition. (hep-lat/ , )

A. ISMD 2003, Cracow Buda-Lund hydro model  Separation of the Core and the Halo  Core: hydrodynamic evolution  Halo: decay products of long-lived resonances - Analytic expressions for all the observables - 3d expansion, local thermal equilibrium, symmetry - Goes back to known hydro solutions in nonrel limit Principles for Buda-Lund hydro

A. ISMD 2003, Cracow Buda-Lund hydro model The general form of the emission function: Calculation of observables with core-halo correction: Assuming special shapes for the flux, temperature, chemical potential and flow:

A. ISMD 2003, Cracow Buda-Lund hydro model Invariant single particle spectrum: Invariant Buda-Lund correlation function: oscillating prefactor! Non-invariant Bertsch-Pratt parameterization: Non-Gaussian BL form -> Gaussian BP approximation:

A. ISMD 2003, Cracow R out /R side Ratios at 200 GeV <- Buda-Lund prediction Note also: R side /R L -> const (<=1) as m t >> T 0 is another a BL prediction T. Cs. & B. Lorstad, PRC54 (1996) 1390 NPA 590 (1995) 465 reflects symmetry of the flow !

A. ISMD 2003, Cracow Buda-Lund fits to NA22 h + p data N. M. Agababyan et al, EHS/NA22, PLB 422 (1998) 395 T. Csörgő, hep-ph/001233, Heavy Ion Phys. 15 (2002) 1-80

A. ISMD 2003, Cracow Buda-Lund fits to NA44 Pb+Pb data A. Ster, T. Cs, B. Lörstad, hep-ph/ Final data Absolute normalization, Boltzmann approx.,  ~ 1,  0 = 0 approx.

A. ISMD 2003, Cracow Buda-Lund fits to NA49 Pb+Pb data A. Ster, T. Cs, B. Lörstad, hep-ph/ Final data Absolute normalization, Boltzmann approx.,  ~ 1,  0 = 0 approx.

A. ISMD 2003, Cracow Buda-Lund fits to run-1 RHIC data Calculation program packages : Version 1.0: Calculation of IMD & Radii, linearized saddle-point equations (NA22,NA4,NA49, prel. RHIC run-1) Version 1.4: Calculation for dN/ added Version 2.0: Exact analytic calculation of space-time rapidity of the saddle point, 2nd order calculation in transverse position of saddle point All versions: Analytic expressions for all observables and simultaneous fits to all the observables

A. ISMD 2003, Cracow BudaLund fits to final run-1 RHIC data

A. ISMD 2003, Cracow BudaLund fits to final run-1 RHIC data

A. ISMD 2003, Cracow BudaLund Hubble fits run-1 RHIC data

A. ISMD 2003, Cracow BudaLund fits to final run-1 RHIC data V1.0 fits to STAR & PHENIX data at midrapidity V1.4 Rg fixed as data determine /Rg dependence only

A. ISMD 2003, Cracow Comparing RHIC Au+Au to SPS results A 3 effect, T 0 > T c = 170 MeV, T 0 (RHIC) > T 0 (SPS) Indication for quarks & hard EOS

A. ISMD 2003, Cracow Comparison of results of models Acceptable

A. ISMD 2003, Cracow Comparison of results of models

A. ISMD 2003, Cracow Comparison of results of models

A. ISMD 2003, Cracow Comparison of results of models

A. ISMD 2003, Cracow Comparison of results of models

A. ISMD 2003, Cracow Comparison of results of models

A. ISMD 2003, Cracow Comparison of results of models

A. ISMD 2003, Cracow Comparison of results of models

A. ISMD 2003, Cracow Comparison of results of models ~ Acceptable

A. ISMD 2003, Cracow Comparison of results of models Acceptable

A. ISMD 2003, Cracow Comparison of results of models

A. ISMD 2003, Cracow Comparison of results of models

A. ISMD 2003, Cracow Comparison of results of models ~ Acceptable

A. ISMD 2003, Cracow Comparison of results of models

A. ISMD 2003, Cracow Comparison of results of models Models with acceptable results: nucl-th/ Buda-Lund / core-halo model. T.Csörgő. A. Ster, Heavy Ion Phys. 17 (2003) nucl-th/ Multiphase Trasport model (AMPT). Z. Lin, C. M. Ko, S. Pal. nucl-ex/ Blast wave model. F. Retiére for STAR. nucl-th/ Hadron cascade model. T. Humanic. nucl-th/ D hydro model. T. Hirano, & T.Tsuda. hep-ph/ Hadron model. W.Broniowski, A. Baran W. Florkowski. Not shown here but acceptable:

A. ISMD 2003, Cracow Comparision of expansion rates: RHIC and the Universe Universality of the Hubble expansion u = H r Hubble constant of the Universe: H 0 = 71 ± 7 km/sec/Mpc converted to SI units: H 0 = (2.3 ± 0.2)x sec -1 Hubble constant of Method a)H RHIC = /R G ~ (3.3 ± 0.6)x10 22 sec -1 Method b)H RHIC = 1/  0 ~ (4.9 ± 0.3)x10 22 sec -1 Ratio of expansion rates: H RHIC / H 0 ~ 2 x approx. the ratio of the ages of the objects, without correction for inflation...

A. ISMD 2003, Cracow CONCLUSION The analysis of RHIC Au+Au data from BRAHMS, PHOBOS, PHENIX and STAR show: succesful Buda-Lund hydro fits (also at h+p and Pb+Pb at SPS) indication for deconfinement at RHIC (T > T c = 170 MeV by 3  at RHIC, but not at SPS) evidence for a 3d Hubble flow at RHIC

A. ISMD 2003, Cracow CONCLUSION Buda-Lund: T 0 > T c at RHIC

A. ISMD 2003, Cracow NEXT TO DO Fits to : new NA49 data (with Kaon correlation), NA44 data, CERES data at SPS. new run-2 data at RHIC