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This study explores the significance of multiparticle collisions in heavy ion reactions, with a focus on the equilibration of anti-baryons and baryons. It discusses the thermalization processes and the production of anti-baryons in the Quark-Gluon Plasma (QGP) phase.
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Johann Wolfgang Goethe-Universität Frankfurt Institut für Theoretische Physik The importance of multiparticle collisions in heavy ion reactions C. Greiner The Physics of High Baryon Density IPHC Strasbourg, Sept. 2006 • Motivation: chemical equilibration of anti-baryons • Equilibration by potential Hagedorn states • Thermalization at RHIC by • Outlook
Strangeness production at SpS energies Production of Antihyperons: QGP signature…? J. Geiss P. Koch, B. Müller, J. Rafelski
Production of Anti-Baryons Multimesonic channels R.Rapp and E. Shuryak, Phys.Rev.Lett.86(2001) 2980 C.Greiner and S.Leupold, J.Phys. G27(2001) L95
production at RHIC Thermal rates within chiral SU(3) description Chemical population of baryons / anti-baryons: I. Shovkovy, J. Kapusta P. Huovinen, J. Kapusta Insufficient by a factor of 3 to 4
Chemical Freeze-out and of QCD (P. Braun-Munzinger, J. Stachel, C. Wetterich,Phys.Lett.B596:61-69 (2004)) Chemical equilibration of baryon / anti-baryons: Hadronic resonance gas vs. lattice: Multimesonic channels:
Possible solution by Hagedorn states C. Greiner, P. Koch, F. Liu, I. Shovkovy, H. Stöcker J.Phys.G31 (2005)
K. Redlich et al, K. Bugaev et al Hagedorn gas close to • Hagedorn spectrum: • Hagedorn like excitations • in transport models: RQMD HSD
Microcanonical decay of HS (Fuming Liu)
Master Equations for the decay HS→nπ+BaB dNR(i)/dt=-GiNR(i)+ånGi,p<i,n(T) (Np)nBi!np+Gi,BaB<i,<n>BaB (T)(Np)<n> N2BaB dNp/dt=åiånGi,pnBi! np(NR(i)-< (T) (Np)n)+åiGi,BaB<n>(NR(i)-<i,<n>BaB(T)(Np)<n>N2BaB) dNBaB/dt=-åiGi,BaB(NBaB2 Np<n><i,<n>(T)-NR(i)) J. Noronha-Hostler TexPoint fonts used in EMF: AAAAAAA
HS→nπ+BaB Nπ(t=0)=Equilibrium NRes(t=0)=0 Nπ (t=0)=Equilibrium NRes(t=0)=Equilibrium
HS→nπ+BaBwhen the Hagedorn Resonances start at twice equilibrium values and the rest starts at zero.
HS→nπ+BaBwhen the Hagedorn Resonances start at twice equilibrium values and the rest starts at equilibrium.
The order and shape of QGP phase transition nucl-th/0605052, I. Zakout, CG and J. Schaffner-Bielich density of states:
Thermalization at RHIC elliptic flow --- `early signature´ of QGP evidence for an early buildup of pressure and a fast thermalization of the quark-gluon system • How can one describe the fast thermalization by the partonic collisions? • How can one understand the hydrodynamical behavior by the partonic collisions? transport simulation: on-shell parton cascade Z. Xu and C. Greiner, PRC 71, 064901 (2005) solving the Boltzmann-equations for quarks and gluons new development (Z)MPC, VNI/BMS
Initial production of partons minijets string matter
Stochastic algorithm P.Danielewicz, G.F.Bertsch, Nucl. Phys. A 533, 712(1991) A.Lang et al., J. Comp. Phys. 106, 391(1993) cell configuration in space D3x for particles in D3x with momentum p1,p2,p3 ... collision probability: parton scatterings in leading order pQCD
the central region: h: [-0.5:0.5] and xt < 1.5 fm including gg<->ggg without gg<->ggg thermalization and hydrodynamical behavior NO thermalizationand free streaming
elliptic flow in noncentral Au+Au collisions at RHIC: peripheral central
Conclusions and Outlook • Potential Hagedorn states as additional dof can explain and also strangebaryon production close to ; (re-)population and decay are governed by detailed balance • Three main assumptions: (1): (2): (3): microcanonical statistical decay • Multiparticle interactions also important for very high energies ( ) • Future: Embedding into UrQMD
free ρ in-medium Nonequilibrium dilepton production (B. Schenke) Spectral function of the ρ-meson: CERES → quantum “off-shell”-transport description
Non-equilibrium dilepton production rate: Contributions to therate at time τat constant energy ω Evolving spectral function and dilepton rate B. Schenke, C. Greiner, Phys.Rev.C73:034909 (2006)
(B. Schenke) Dilepton yields from fireball Dropping mass (linearly in time) and resonance coupling scenarios for k=0: Dropping mass scenario integrated over momenta: B. Schenke, C. Greiner, Phys.Rev.C73:034909 (2006) B. Schenke, C. Greiner, arXiv:hep-ph/0608032 (2006)