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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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Hagedorn states and Thermalization

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Dm2010 high density nuclear matter stellenbosch south africa

DM2010, High Density Nuclear Matter, Stellenbosch, South Africa

Hagedorn states andThermalization

(courtesy

L. Ferroni)


Hagedorn states and thermalization

Hadronization

at the phase boundary…?


Hagedorn states and thermalization

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

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:


Hagedorn states and thermalization

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:


Hagedorn states and thermalization

Crossover transition in bag-like models

L. Ferroni and V. Koch, PRC79 (2009) 034905

density of states:


Hagedorn states and thermalization

Strangeness production at SpS energies

Production of Antihyperons:

QGP signature…?

J. Geiss

P. Koch, B. Müller, J. Rafelski


Production of anti baryons

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

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

Possible solution by Hagedorn states

C. Greiner, P. Koch, F. Liu,

I. Shovkovy, H. Stöcker

J.Phys.G31 (2005)‏


Hagedorn states and thermalization

Estimate for baryon/antibaryon production


Micro canonical decay of hagedorn states

(Micro)canonical decay of Hagedorn States

(Fuming Liu)‏


Hagedorn states and thermalization

J. Noronha-Hostler, CG, I. Shovkovy,

PRL 100:252301, 2008; and arXiv:0909.2908

Rate Equations


Hagedorn states and thermalization

Decay Widths

Linear fit (PDG)‏

for

Baryon anti-baryon decay ((micro)canonical)‏

the average proton number is

Analogously for Kaons, Lambdas and Omegas (!)


Hagedorn states and thermalization

Time Scale Estimate

Assuming and

where

and


Hagedorn states and thermalization

Rising Populations

  • pions andHS held at equilibrium:

protons

kaons


Hagedorn states and thermalization

Expanding fireball

Varying parameters has only small effect!


Hagedorn states and thermalization

protons

Varying parameters has only small effect!


Hagedorn states and thermalization

kaons


Hagedorn states and thermalization

Lambdas


Hagedorn states and thermalization

Omegas

M.Beitel


The strange sector of baryons antibaryons

The strange sector of baryons/antibaryons


Importance of baryonic hs

Importance of baryonicHS ?


Hagedorn states and thermalization

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


Hagedorn states and thermalization

!

!

!


Hagedorn states and thermalization

!

!

!


Hagedorn states and thermalization

!

!

!

many thanks, Jean


Hagedorn states and thermalization

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


Hagedorn states and thermalization

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


Hagedorn states and thermalization

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 -


Hagedorn states and thermalization

C.Greiner, AIP Conf. Proc. 644:337 (2003)‏


Production at rhic

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


Hagedorn states and thermalization

!

!

!


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