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DM2010, High Density Nuclear Matter, Stellenbosch, South Africa. Hagedorn states and Thermalization. (courtesy L. Ferroni). Hadronization at the phase boundary…?. Hadronization – molecular dynamical simulation. C. Traxler et al., PRC59 1620 (1999). … Hagedorn spectrum.
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DM2010, High Density Nuclear Matter, Stellenbosch, South Africa Hagedorn states andThermalization (courtesy L. Ferroni)
Hadronization at the phase boundary…?
Hadronization – molecular dynamical simulation C. Traxler et al., PRC59 1620 (1999) … Hagedorn spectrum
Hadron Resonance Gas with Hagedorn States and comparison to lattice QCD close to J. Noronha-Hostler, J. Noronha, CG arXiv:0909.2908 • Hagedorn spectrum: • RBC collaboration:
The order and shape of QGP phase transition I.Zakout, CG and J. Schaffner-Bielich, NPA 781 (2007) 150, PRC78:034916 and arXiv: 1002.3119 density of states:
Crossover transition in bag-like models L. Ferroni and V. Koch, PRC79 (2009) 034905 density of states:
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 SPS But But:
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)
(Micro)canonical decay of Hagedorn States (Fuming Liu)
J. Noronha-Hostler, CG, I. Shovkovy, PRL 100:252301, 2008; and arXiv:0909.2908 Rate Equations
Decay Widths Linear fit (PDG) for Baryon anti-baryon decay ((micro)canonical) the average proton number is Analogously for Kaons, Lambdas and Omegas (!)
Time Scale Estimate Assuming and where and
Rising Populations • pions andHS held at equilibrium: protons kaons
Expanding fireball Varying parameters has only small effect!
protons Varying parameters has only small effect!
Omegas M.Beitel
Summary Potential Hagedorn States close to critical temperature: • can explain fast chemical equilibration by HS regeneration • roughly: • roughly: • smaller shear viscosity of QCD matter at • Future: embedding into UrQMD J. Noronha-Hostler, M. Beitel, CG, I.Shovkovy arXiv:0909.2908, PRC in press
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Particle Ratios as a Probe of the QCD Critical Temperature J. Noronha-Hostler, H. Ahmad, J. Noronha, CG, arXiv:0906.3960 Hagedorn States provide a unique method to compare lattice results for Tc using thermal fits Hagedorn states provide a lower chi^2 than thermal fits without Hagedorn states
Transport Coefficients of Hadronic Matter near J. Noronha-Hostler, J. Noronha, CG, PRL103:172302 (2009) While both η (due to the small MFP of HS) and s increase with increasing T, the entropy increases quicker close to Tc, which decreases η/s. HRG of a hadron gas including HS matches well with the lattice at HS
Three-particle interactions through parton rearrangement UrQMD+ Recombination, Baryonfusion, Quark annihilation [H.Petersen et al. , arXiv:0805.0567v1 (2008)] [G.Gräf, diploma thesis, Frankfurt (2009)] Same mechanism previously implemented in QGSM [Bleibel , Burau et al. , arXiv: nucl-th/0610021 (2007)] [Bleibel , Burau et al. , arXiv: 0711.3366 (2008)] Recombination Lambda multiplicity Elliptic flow excitation function Baryonfusion Quark annihilation - preliminary -
production at RHIC Thermal rates within chiral SU(3) description Chemical population of baryons / anti-baryons: I. Shovkovy, J. Kapusta (2003) P. Huovinen, J. Kapusta (2004) Insufficient by a factor of 3 to 4
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