1. A. Ster @ ISMD 2003, Cracow Indication for deconfinement @ 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

2. A. Ster @ 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/0106007,0104001)

3. A. Ster @ 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

4. A. Ster @ 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:

5. A. Ster @ 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:

6. A. Ster @ 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 !

7. A. Ster @ 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

8. A. Ster @ ISMD 2003, Cracow Buda-Lund fits to NA44 Pb+Pb data A. Ster, T. Cs, B. Lörstad, hep-ph/9907338 Final data Absolute normalization, Boltzmann approx.,  ~ 1,  0 = 0 approx.

9. A. Ster @ ISMD 2003, Cracow Buda-Lund fits to NA49 Pb+Pb data A. Ster, T. Cs, B. Lörstad, hep-ph/9907338 Final data Absolute normalization, Boltzmann approx.,  ~ 1,  0 = 0 approx.

10. A. Ster @ 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

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

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

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

14. A. Ster @ 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

15. A. Ster @ 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

16. A. Ster @ ISMD 2003, Cracow Comparison of results of models Acceptable

17. A. Ster @ ISMD 2003, Cracow Comparison of results of models

18. A. Ster @ ISMD 2003, Cracow Comparison of results of models

19. A. Ster @ ISMD 2003, Cracow Comparison of results of models

20. A. Ster @ ISMD 2003, Cracow Comparison of results of models

21. A. Ster @ ISMD 2003, Cracow Comparison of results of models

22. A. Ster @ ISMD 2003, Cracow Comparison of results of models

23. A. Ster @ ISMD 2003, Cracow Comparison of results of models

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

25. A. Ster @ ISMD 2003, Cracow Comparison of results of models Acceptable

26. A. Ster @ ISMD 2003, Cracow Comparison of results of models

27. A. Ster @ ISMD 2003, Cracow Comparison of results of models

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

29. A. Ster @ ISMD 2003, Cracow Comparison of results of models

30. A. Ster @ ISMD 2003, Cracow Comparison of results of models Models with acceptable results: nucl-th/0207016Buda-Lund / core-halo model. T.Csörgő. A. Ster, Heavy Ion Phys. 17 (2003) 295-312. nucl-th/0204054Multiphase Trasport model (AMPT). Z. Lin, C. M. Ko, S. Pal. nucl-ex/0307026Blast wave model. F. Retiére for STAR. nucl-th/0205053Hadron cascade model. T. Humanic. nucl-th/02080683D hydro model. T. Hirano, & T.Tsuda. hep-ph/0209054Hadron model. W.Broniowski, A. Baran W. Florkowski. Not shown here but acceptable:

31. A. Ster @ 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)x10 -12 sec -1 Hubble constant of Au+Au@RHIC-1 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 10 34 approx. the ratio of the ages of the objects, without correction for inflation...

32. A. Ster @ 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

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

34. A. Ster @ 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