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Hagedorn states and Thermalization DM2010, High Density Nuclear Matter, Stellenbosch, South Africa (courtesy L. Ferroni)
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Hadronization at the phase boundary…?
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Hadronization – molecular dynamical simulation C. Traxler et al., PRC59 1620 (1999) … Hagedorn spectrum
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Hadron Resonance Gas with Hagedorn States and comparison to lattice QCD close to Hagedorn spectrum: RBC collaboration : J. Noronha-Hostler, J. Noronha, CG arXiv:0909.2908
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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:
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Crossover transition in bag-like models L. Ferroni and V. Koch, PRC79 (2009) 034905 density of states:
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Strangeness production at SpS energies J. Geiss Production of Antihyperons: QGP signature…? P. Koch, B. Müller, J. Rafelski
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Production of Anti-Baryons R.Rapp and E. Shuryak, Phys.Rev.Lett.86 (2001) 2980 C.Greiner and S.Leupold, J.Phys. G27 (2001) L95 Multimesonic channels But But : SPS
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Chemical Freeze-out and of QCD Hadronic resonance gas vs. lattice: (P. Braun-Munzinger, J. Stachel, C. Wetterich, Phys.Lett.B596:61-69 (2004)) Chemical equilibration of baryon / anti-baryons: Multimesonic channels:
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Possible solution by Hagedorn states C. Greiner, P. Koch, F. Liu, I. Shovkovy, H. Stöcker J.Phys.G31 (2005)
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Estimate for baryon/antibaryon production
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(Micro)canonical decay of Hagedorn States (Fuming Liu)
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Rate Equations J. Noronha-Hostler, CG, I. Shovkovy, PRL 100:252301, 2008; and arXiv:0909.2908
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Decay Widths Linear fit (PDG) Baryon anti-baryon decay ((micro)canonical) the average proton number is Analogously for Kaons, Lambdas and Omegas (!) for
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Time Scale Estimate Assuming and whereand
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Rising Populations pions and HS held at equilibrium : kaons protons
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Expanding fireball Varying parameters has only small effect!
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protons Varying parameters has only small effect!
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kaons
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Lambdas
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Omegas M. Beitel
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The strange sector of baryons/antibaryons
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Importance of baryonic HS ?
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Summary Potential Hagedorn States close to critical temperature: can explain fast chemical equilibration by HS regeneration 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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! ! ! many thanks, Jean
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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
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Transport Coefficients of Hadronic Matter near J. Noronha-Hostler, J. Noronha, CG, PRL 103:172302 (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. of a hadron gas including HS matches well with the lattice at HRG HS
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39 Baryonfusion Quark annihilation Recombination Three-particle interactions through parton rearrangement Elliptic flow excitation function UrQMD+ Recombination, Baryonfusion, Quark annihilation [H.Petersen et al., arXiv:0805.0567v1 (2008)] [G.Gräf, diploma thesis, Frankfurt (2009)] Lambda multiplicity Same mechanism previously implemented in QGSM [Bleibel, Burau et al., arXiv: nucl-th/0610021 (2007)] [Bleibel, Burau et al., arXiv: 0711.3366 (2008)] - preliminary -
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C.Greiner, AIP Conf. Proc. 644:337 (2003)
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production at RHIC I. Shovkovy, J. Kapusta (2003) Thermal rates within chiral SU(3) description Chemical population of baryons / anti-baryons: P. Huovinen, J. Kapusta (2004) Insufficient by a factor of 3 to 4
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