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WPCF-2005, Kromirez A. Ster Hungary 1 Comparison of emission functions in h+p, p+p, d+A, A+B reactions A. Ster 1,2, T. Csörgő 2 1 KFKI-RMKI, 2 KFKI-MFA,

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Presentation on theme: "WPCF-2005, Kromirez A. Ster Hungary 1 Comparison of emission functions in h+p, p+p, d+A, A+B reactions A. Ster 1,2, T. Csörgő 2 1 KFKI-RMKI, 2 KFKI-MFA,"— Presentation transcript:

1 WPCF-2005, Kromirez A. Ster Hungary 1 Comparison of emission functions in h+p, p+p, d+A, A+B reactions A. Ster 1,2, T. Csörgő 2 1 KFKI-RMKI, 2 KFKI-MFA, Hungary The emission function The emission function Fluid dynamical solutions by the Buda-Lund model Fluid dynamical solutions by the Buda-Lund model Emission functions from different reactions Emission functions from different reactions Conclusion Conclusion

2 WPCF-2005, Kromirez A. Ster Hungary 2 Particle emission phase-space density function: Particle emission phase-space density function: The emission function Invariant momentum distribution (observable)

3 WPCF-2005, Kromirez A. Ster Hungary 3 A general form A general form With probability distribution for fluids With probability distribution for fluids The emission function

4 WPCF-2005, Kromirez A. Ster Hungary 4 hypersurface hypersurface flow flow chemical potential chemical potential temperature temperature The emission function must comply with the 5 differential equations of fluid dynamics: must comply with the 5 differential equations of fluid dynamics: continuity continuity momentum conservation momentum conservation energy conservation energy conservation

5 WPCF-2005, Kromirez A. Ster Hungary 5 3D expansion with axial or ellipsoidal symmetry 3D expansion with axial or ellipsoidal symmetry Local thermal equilibrium Local thermal equilibrium Analytic expressions for the observables (no numerical simulations, but formulas) Analytic expressions for the observables (no numerical simulations, but formulas) Reproduces known exact hydro solutions (nonrelativistic, Hubble, Bjorken limit) Reproduces known exact hydro solutions (nonrelativistic, Hubble, Bjorken limit) Core-halo picture (long lived resonances) Core-halo picture (long lived resonances) The Buda-Lund fluid model M.Csanád, T.Csörgő, B. Lörstad: Nucl.Phys.A742:80-94,2004; nucl-th/0310040

6 WPCF-2005, Kromirez A. Ster Hungary 6 The Buda-Lund fluid model Buda-Lund solutions to the differential fluid equations: Buda-Lund solutions to the differential fluid equations:

7 WPCF-2005, Kromirez A. Ster Hungary 7 The Buda-Lund fluid model Where (in case of axial symmetry): Where (in case of axial symmetry):

8 WPCF-2005, Kromirez A. Ster Hungary 8 The Buda-Lund fluid model Observables Observables

9 WPCF-2005, Kromirez A. Ster Hungary 9 N. M. Agababyan et al, EHS/NA22, PLB 422 (1998) 395 T. Csörgő, hep-ph/001233, Heavy Ion Phys. 15 (2002) 1-80 Buda-Lund fits to NA22 h+p

10 WPCF-2005, Kromirez A. Ster Hungary 10 Emission function from NA22 h+p

11 WPCF-2005, Kromirez A. Ster Hungary 11 Buda-Lund fits to SPS Pb+Pb A. Ster, T.Csörgő, B. Lörstad, Nucl.Phys. A661 (1999) 419-422, nucl-th/9907338 NA44NA49

12 WPCF-2005, Kromirez A. Ster Hungary 12 Emission function from SPS Pb+Pb

13 WPCF-2005, Kromirez A. Ster Hungary 13 A. Ster, et al., Acta Phys.Polon. B35 (2004) 191-196, nucl-th/0311102 Buda-Lund fits to RHIC Au+Au

14 WPCF-2005, Kromirez A. Ster Hungary 14 Buda-Lund fits to RHIC Au+Au

15 WPCF-2005, Kromirez A. Ster Hungary 15 Emission function from RHIC Au+Au preliminary

16 WPCF-2005, Kromirez A. Ster Hungary 16 M. Csanád, et al., J.Phys.G30: S1079-S1082, 2004, nucl-th/0403074 Buda-Lund fits to RHIC Au+Au http://www.kfki.hu/~csorgo/budalund/budalund1.5.qm04.tar.gzudalund1.5.qm04.tar.gz

17 WPCF-2005, Kromirez A. Ster Hungary 17 Emission function from RHIC Au+Au preliminary

18 WPCF-2005, Kromirez A. Ster Hungary 18 Buda-Lund fit results

19 WPCF-2005, Kromirez A. Ster Hungary 19 Buda-Lund fits to RHIC p+p T. Csörgő, et al., To appear in Heavy Ion Physics, hep-ph/0406042

20 WPCF-2005, Kromirez A. Ster Hungary 20 Emission function from RHIC p+p preliminary

21 WPCF-2005, Kromirez A. Ster Hungary 21 Buda-Lund fit results

22 WPCF-2005, Kromirez A. Ster Hungary 22 Buda-Lund 1st (bad) fits to RHIC d+Au

23 WPCF-2005, Kromirez A. Ster Hungary 23 Buda-Lund fit results

24 WPCF-2005, Kromirez A. Ster Hungary 24 Conclusions Buda-Lund model describes single particle distributions, rapidity distributions, HBT correlation function radii w/o puzzle in the following reactions: Buda-Lund model describes single particle distributions, rapidity distributions, HBT correlation function radii w/o puzzle in the following reactions: h+p @SPS, p+p @RHIC, Pb+Pb @SPS, h+p @SPS, p+p @RHIC, Pb+Pb @SPS, Au+Au @RHIC, d+Au @RHIC *** Au+Au @RHIC, d+Au @RHIC *** Rings of fire in h+p @SPS and p+p @RHIC Rings of fire in h+p @SPS and p+p @RHIC Fireballs in Pb+Pb @SPS and Au+Au @RHIC Fireballs in Pb+Pb @SPS and Au+Au @RHIC T < T c in h+p and Pb+Pb @SPS T < T c in h+p and Pb+Pb @SPS T > T c in p+p and Au+Au @RHIC T > T c in p+p and Au+Au @RHIC

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