QCD Matter within Quasiparticle Model & CEP B. Kämpfer Research Center Rossendorf/Dresden Technical University Dresden -- Lattice QCD & Quasiparticle Model -- Toy Models for CEP -- EoS and v2 for RHIC (3D Ising) (open charm does not flow) with M. Bluhm, R. Schulze, D. Seipt, supported by BMBF, GSI, EU
Lattice QCD Results 1. Phase Boundary 2. EoS = 0
Quasiparticle Model lattice 1-loop selfenergies effective stat. + thermo.consist.
Bielefeld-Swansea data c0 phase transition c2 c6 c4
c2 QPM susceptibility peak: crit. behavior
Isentropic Expansion chemical freeze-out: T, muB s/n RHIC-130 SPS-158
T ) kink in (T, (r,h) 2. div. of h r Including the CEP 1.
3. Singular Part of EoS: Parametric Form 3D Ising Model h r Guida+Zinn-Justin
Toy Model I: smooth reg. EoS 1. 2. critical curve additional information 170 MeV Allton et al. 2002 3. CEP:
CEP CEP: Attractor - Repulsor unphysical no focusing effect Wambach et al.
A Funnel Effect due to Phase Transition? Barz, Kämpfer, Csernai, Lukacs PLB 1984 1D Hydro & relaxation time approx. focusing effect squeezing of chem. freeze-out points
Toy Model II: 2-Phase Ansatz Nonaka, Asakawa (2004) critical curve: given
Need of Modifying lQCD by CEP? Conjecture: hydro evolution of v2, pT at RHIC does not feel CEP using P. Kolbs code + init.parameters Kolb-Rapp off-equilibrium hadron EoS with U. Heinz/Ohio
Progress of lQCD: High-density part fixed High Density EoS x tiny baryon density effects QPM(2.0) : bag model QPM(1.0) Progress of lQCD: Low-density part fixed (=resonance gas: Redlich)
Strange Baryons data disfavor phase transition Huovinen 2005: opposite conclusion
D Mesons Meson non-hydro behavior of open charm? or K?
Summary & Outlook -- Lattice QCD vs. Quasiparticle Model: perfect description of either p(T,0) or p(T,mu) consistency of chem.freeze-out and isentropes -- Toy models for including CEP: many free parameters, size of critical region = ? lattice QCD + CEP = ? -- v2 hydro: RHIC: EoS at Tc does not matter much D does not participate in hydro flow -- CERN-SPS – CBM-FAIR: very different
Relativistic Hydro with U. Heinz/Ohio Init. Conds.: b dependent profiles from wounded nucleon & binary collisions s < 110 fm-3, nB < 0.4 fm-3: RHIC200 P. Kolb et al. Freeze-out: Cooper-Frye, T = 100 MeV Kolb-Rapp off-equilibrium EoS: p(e,nB), T(e,nB), muB(e,nB)
Interpolation is Better than Extrapolation * lQCD lQCD/res.gas/KR V2: weak dependence on EoS
Bielefeld-Swansea data c0 nF=2+1 c6/c4 c2 nF=2 c4 nF=2
The 10% Problem c2 c0 c0
0=const (r,h) (R, ) R=const h=const r=const