Hagedorn states and Thermalization DM2010, High Density Nuclear Matter, Stellenbosch, South Africa...

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Hagedorn states and Thermalization DM2010, High Density Nuclear Matter, Stellenbosch, South Africa (courtesy L. Ferroni)
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Page 1: Hagedorn states and Thermalization DM2010, High Density Nuclear Matter, Stellenbosch, South Africa (courtesy L. Ferroni)

Hagedorn states and

Thermalization

DM2010, High Density Nuclear Matter, Stellenbosch, South Africa

(courtesyL. Ferroni)

Page 2: Hagedorn states and Thermalization DM2010, High Density Nuclear Matter, Stellenbosch, South Africa (courtesy L. Ferroni)
Page 3: Hagedorn states and Thermalization DM2010, High Density Nuclear Matter, Stellenbosch, South Africa (courtesy L. Ferroni)
Page 4: Hagedorn states and Thermalization DM2010, High Density Nuclear Matter, Stellenbosch, South Africa (courtesy L. Ferroni)
Page 5: Hagedorn states and Thermalization DM2010, High Density Nuclear Matter, Stellenbosch, South Africa (courtesy L. Ferroni)
Page 6: Hagedorn states and Thermalization DM2010, High Density Nuclear Matter, Stellenbosch, South Africa (courtesy L. Ferroni)
Page 7: Hagedorn states and Thermalization DM2010, High Density Nuclear Matter, Stellenbosch, South Africa (courtesy L. Ferroni)

Hadronization at the phase boundary…?

Page 8: Hagedorn states and Thermalization DM2010, High Density Nuclear Matter, Stellenbosch, South Africa (courtesy L. Ferroni)
Page 9: Hagedorn states and Thermalization DM2010, High Density Nuclear Matter, Stellenbosch, South Africa (courtesy L. Ferroni)
Page 10: Hagedorn states and Thermalization DM2010, High Density Nuclear Matter, Stellenbosch, South Africa (courtesy L. Ferroni)
Page 11: Hagedorn states and Thermalization DM2010, High Density Nuclear Matter, Stellenbosch, South Africa (courtesy L. Ferroni)
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Hadronization – molecular dynamical simulation

C. Traxler et al., PRC59 1620 (1999)

… Hagedorn spectrum

Page 13: Hagedorn states and Thermalization DM2010, High Density Nuclear Matter, Stellenbosch, South Africa (courtesy L. Ferroni)

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

Page 14: Hagedorn states and Thermalization DM2010, High Density Nuclear Matter, Stellenbosch, South Africa (courtesy L. Ferroni)

The order and shape of QGP phase transitionI.Zakout, CG and J. Schaffner-Bielich, NPA 781 (2007) 150,

PRC78:034916 and arXiv: 1002.3119

)4(~),( ][)2( Bvmemcvm BHTm

density of states:4

1

)( B

Page 15: Hagedorn states and Thermalization DM2010, High Density Nuclear Matter, Stellenbosch, South Africa (courtesy L. Ferroni)

Crossover transition in bag-like models

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

][)(~)( BHTm

emcm density of states:

Page 16: Hagedorn states and Thermalization DM2010, High Density Nuclear Matter, Stellenbosch, South Africa (courtesy L. Ferroni)

Strangeness production at SpS energies

J. Geiss

Production of Antihyperons:QGP signature…?

P. Koch, B. Müller, J. Rafelski

Page 17: Hagedorn states and Thermalization DM2010, High Density Nuclear Matter, Stellenbosch, South Africa (courtesy L. Ferroni)

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

Page 18: Hagedorn states and Thermalization DM2010, High Density Nuclear Matter, Stellenbosch, South Africa (courtesy L. Ferroni)

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:

Page 19: Hagedorn states and Thermalization DM2010, High Density Nuclear Matter, Stellenbosch, South Africa (courtesy L. Ferroni)

Possible solution by Hagedorn states

C. Greiner, P. Koch, F. Liu, I. Shovkovy, H. Stöcker

J.Phys.G31 (2005)

Page 20: Hagedorn states and Thermalization DM2010, High Density Nuclear Matter, Stellenbosch, South Africa (courtesy L. Ferroni)

Estimate for baryon/antibaryon production

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(Micro)canonical decay of Hagedorn States(Fuming Liu)

Page 22: Hagedorn states and Thermalization DM2010, High Density Nuclear Matter, Stellenbosch, South Africa (courtesy L. Ferroni)

Rate EquationsJ. Noronha-Hostler, CG, I. Shovkovy, PRL 100:252301, 2008; and arXiv:0909.2908

Page 23: Hagedorn states and Thermalization DM2010, High Density Nuclear Matter, Stellenbosch, South Africa (courtesy L. Ferroni)

Decay Widths

Linear fit (PDG)

Baryon anti-baryon decay ((micro)canonical)

the average proton number is

Analogously for Kaons, Lambdas and Omegas (!)

for

Page 24: Hagedorn states and Thermalization DM2010, High Density Nuclear Matter, Stellenbosch, South Africa (courtesy L. Ferroni)

Time Scale Estimate

Assuming and

where and

Page 25: Hagedorn states and Thermalization DM2010, High Density Nuclear Matter, Stellenbosch, South Africa (courtesy L. Ferroni)

Rising Populations

• pions and HS held at equilibrium:

kaons

protons

Page 26: Hagedorn states and Thermalization DM2010, High Density Nuclear Matter, Stellenbosch, South Africa (courtesy L. Ferroni)

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:

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

Page 34: Hagedorn states and Thermalization DM2010, High Density Nuclear Matter, Stellenbosch, South Africa (courtesy L. Ferroni)

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many thanks, Jean

Page 37: Hagedorn states and Thermalization DM2010, High Density Nuclear Matter, Stellenbosch, South Africa (courtesy L. Ferroni)

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

Page 38: Hagedorn states and Thermalization DM2010, High Density Nuclear Matter, Stellenbosch, South Africa (courtesy L. Ferroni)

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.

of a hadron gas including HS matches well with the lattice at

HRG

HS

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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 -

Page 40: Hagedorn states and Thermalization DM2010, High Density Nuclear Matter, Stellenbosch, South Africa (courtesy L. Ferroni)

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

Page 41: Hagedorn states and Thermalization DM2010, High Density Nuclear Matter, Stellenbosch, South Africa (courtesy L. Ferroni)

production at RHIC

I. Shovkovy, J. Kapusta (2003)

Thermal rates within chiral SU(3) description

Chemical population ofbaryons / anti-baryons:

P. Huovinen, J. Kapusta (2004)

Insufficient by a factor of 3 to 4

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