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Does Hadronization happen via Cluster formation?

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.

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Does Hadronization happen via Cluster formation?

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  1. J. Cleymans I. Kraus H. Oeschler K. Redlich Does Hadronization happen via Cluster formation? SQM2008, Beijing, Oct.7th, 2008

  2. Chemical Freeze Out J. Cleymans and K. Redlich, PRL 81 (1998) 5284

  3. NA49 Data - 158 AGeV Ingrid Kraus et al., Phys. Rev. C76 (2007) 064903 Corr. vol. NOT prop to Apart

  4. 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)

  5. Canonical Suppression can./grand can. ΔS=1 ΔS=3 Example: T = 170 MeV μB = 1 MeV Values for LHC

  6. Three options for SHM calculations: • Canonical with R given by system size • Additionally strangeness suppression via γs • Canonical suppression is controlled by RC which can differ from the system size R (cluster!) R I. Kraus, J. Cleymans, H. O., K. Redlich, System size: Phys. Rev. C76 (2007) 064903 RC

  7. Phys. Rev. C76 (2007) 064903

  8. System size (and energy dep.) of cluster size RC= R • A+A: clusters smaller than fireball • RC not well defined for RC ≥ 2 fm because suppression vanishes Pb+Pb Au+Au

  9. For heavy systems possibly the correlation volume extends over about 2-3 fm. Then no canonical suppression can be observed in the particle ratios!

  10. Same three options for pp collisions: • Canonical with R given by system size • Additionally strangeness suppression via γs • Canonical suppression is controlled by RC which can differ from the system size R (cluster!) R I. Kraus, J. Cleymans, H. O., K. Redlich, pp: arXiv:0808:0611 RC

  11. p+p T = 165 MeV, μB = 14 MeV b)γS~ 1 c)RC~ R = 1.3 fm T = 165 MeV, μB = 220 MeV b)γS = 0.7 c) RC = 1.0 ± .3 fm, R = 1.4 fm I. Kraus et al., arXiv:0808.0611

  12. Extrapolation to LHC for pp ?

  13. Predictions for pp at LHC Prediction for heavy ions: Grand can. I. Kraus et al., PRC 74 (2007) 034903

  14. Predictions for T = 170 MeV and μB = 1 MeV I. Kraus, J. Cleymans, H. O., K. Redlich, arXiv:0808:0611

  15. Most sensitive particle ratio for RC

  16. Early decision on correlation volume!

  17. ? Answer is a few months from ALICE!!! STAR nucl-ex.0808.2041

  18. News on the ϕ Puzzle Statistical Hadronization Model: S = 0 -> no canonical suppression for ϕ Strangeness undersaturation: Suppression goes with (γs)ns with nS = 2

  19. S = 2 ϕ S =1 J.H.Chen (STAR) QM2008,nucl-ex0804.4363

  20. S = 0 R = 1 S = 2 R as (K/π)2 I. Kraus, et al., Phys.Rev. C76 (2007) 064903

  21. central collisions, heavy systems ϕ/K- is rather constant with √s!

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

  23. 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

  24. 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?

  25. STAR Coll., PRL 99 (2007) 112301

  26. Does Hadronization happen via Cluster formation? Partcile Production from SIS to the LHC J. Cleymans, I. Kraus, H. Oeschler, K. Redlich Beijing, Oct.7th, 2008

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

  28. RC is hardly increasing with system size!

  29. 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

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