Does Hadronization happen via Cluster formation?

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Does Hadronization happen via Cluste formation? J. Cleymans I. Kraus H. Oeschler K. Redlich SQM2008, Beijing, Oct.7th, 2

description

J. Cleymans I. Kraus H. Oeschler K. Redlich. Does Hadronization happen via Cluster formation?. SQM2008, Beijing, Oct.7th, 2008. Chemical Freeze Out. J. Cleymans and K. Redlich, PRL 81 (1998) 5284. NA49 Data - 158 AGeV. Ingrid Kraus et al., Phys. Rev. C76 (2007) 064903. - PowerPoint PPT Presentation

Transcript of Does Hadronization happen via Cluster formation?

Page 1: Does Hadronization happen via Cluster formation?

Does Hadronization happen via Cluster formation?

J. Cleymans I. KrausH. Oeschler K. Redlich

SQM2008, Beijing, Oct.7th, 2008

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Chemical Freeze Out

J. Cleymans and K. Redlich, PRL 81 (1998) 5284

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NA49 Data - 158 AGeV

Ingrid Kraus et al.,

Phys. Rev. C76 (2007) 064903Corr. vol. NOT prop to Apart

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Canonical Suppression (SHM)

Pion density

n(π) = exp(-Eπ/T)

Strangeness is conserved!

Kaon density

NN N Λ K+

n(K) = exp(-EK/T)

[g V ∫ … exp[-(EΛ-µB)/T]

J. Cleymans, HO, K. Redlich,

PRC 60 (1999)

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Canonical Suppression

can./grand can.

Example:

T = 170 MeV

μB = 1 MeV

Values for LHC

ΔS=1ΔS=3

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Three options for SHM calculations:

a) Canonical with R given by system size

b) Additionally strangeness suppression via γs

c) Canonical suppression is controlled by RC which can differ from the system size R (cluster!)

I. Kraus, J. Cleymans, H. O., K. Redlich,

System size: Phys. Rev. C76 (2007) 064903

R

RC

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Phys. Rev. C76 (2007) 064903

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System size (and energy dep.) of cluster size

• A+A: clusters smaller than fireball

• RC not well defined for RC ≥ 2 fm because suppression vanishes

RC

= R

Pb+PbAu+Au

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For heavy systems possibly the correlation volume extends over about 2-3 fm.

Then no canonical suppression can be observed in the particle ratios!

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Same three options for pp collisions:

a) Canonical with R given by system size

b) Additionally strangeness suppression via γs

c) Canonical suppression is controlled by RC which can differ from the system size R (cluster!)

I. Kraus, J. Cleymans, H. O., K. Redlich,

pp: arXiv:0808:0611

R

RC

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T = 165 MeV, μB = 220 MeV

b) γS = 0.7

c) RC = 1.0 ± .3 fm, R = 1.4 fm

T = 165 MeV, μB = 14 MeV

b) γS ~ 1

c) RC ~ R = 1.3 fm

p+p

I. Kraus et al., arXiv:0808.0611

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Extrapolation to LHC for pp

?

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Predictions for pp at LHCPrediction for

heavy ions:

Grand can.

I. Kraus et al.,

PRC 74 (2007)

034903

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I. Kraus, J. Cleymans, H. O., K. Redlich, arXiv:0808:0611

Predictions for T = 170 MeV and μB = 1 MeV

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Most sensitive particle ratio for RC

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Early decision on correlation volume!

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STAR nucl-ex.0808.2041

?

Answer is a few months from ALICE!!!

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Statistical Hadronization Model:

S = 0 -> no canonical suppression for ϕ

Strangeness undersaturation:

Suppression goes with (γs)ns with nS = 2

News on the ϕ Puzzle

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J.H.Chen (STAR) QM2008,nucl-ex0804.4363

S = 2

S =1

ϕ

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I. Kraus, et al., Phys.Rev. C76 (2007) 064903

S = 0R = 1

S = 2R as (K/π)2

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ϕ/K- is rather constant with √s!

central collisions, heavy systems

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Laura‘s talk yesterday, rise due to can. supp of K-

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System-size dependence not explained as canonical effect,

if size prop. to Apart .

Cluster concept describes data! As well as γS does.

May be also in very heavy systems clusters,

as R above 2-3 fm grand-canonical behavior.

Cluster size in pp collisions R = 1 – 1.3 fm.

Does R increase with √s?

ϕ/K- always around 0.16, but higher at 1.7 AGeV (0.38±0.13)

In agreement with canonical description with s(ϕ) = 0

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The ϕ Puzzle

• At high energies quark content seen,

but the effective strangeness content ?

• At low energies, SHM seems to work,

ignoring the s content of the ϕ but what is its justification?

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STAR Coll.,PRL 99 (2007)112301

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Partcile Production from SIS to the LHC

J. Cleymans, I. Kraus, H. Oeschler, K. Redlich

Does Hadronization happen via Cluster formation?

Beijing, Oct.7th, 2008

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STAR Coll. Phys. Rev. C 71 (2005) 064902

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RC is hardly increasing with system size!

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What is the strangeness content of the ϕ?

• Data from SPS centrality dependence in PbPb

• System size dependence pp, CC, SiSi

• Data from RHIC AuAu

• New results from 1 – 2 AGeV SIS