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Exploring Pions and Kaons from Stringy Quark Matter: Insights into the Equation of State

This paper delves into the production of pions and kaons from stringy quark matter using the string model framework. We analyze the equation of state (EoS) considering stringy interactions and coalescence processes. Emphasis is placed on low transverse momentum spectra and the thermal distribution of hadrons at varying temperatures. We also discuss conditions at high temperatures, highlighting the non-perturbative effects on the EoS and how string theory may provide insights into hadronization in heavy-ion collisions. Significant findings from RHIC and LHC are presented.

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Exploring Pions and Kaons from Stringy Quark Matter: Insights into the Equation of State

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  1. Pions and kaons from stringy quark matter • String model, string distribution • EoS with stringy interaction • Coalescense from stringy matter • Pion and kaon pt spectra T.S.Bíró and K.Ürmössy, MTA KFKI RMKI Budapest, Hungary SQM 2008, Peking, China.

  2. Statistical Model

  3. How can be E / N = 6 T ? Massive hadrons (rho?)

  4. How can be E / N = 6 T ? Statistical Model: hadronization point around µ = 0 (RHIC, LHC)

  5. How can be E / N = 6 T ? Ideal gas of radiation

  6. How can be E / N = 6 T ? Bag Model for QGP

  7. How can be E / N = 6 T ? Stringy Massless QGP

  8. How can be E / N = 6 T ? Stringy Massless QGP Biro, Cleymans, 2008

  9. Stringy corrections to QGP Boltzmann approximation Endline: last possible solution T This branch is given by Lambert’s W µ

  10. High – T equation of state

  11. Medium-high-T behavior of lattice eos

  12. High-T behavior of lattice eos Fodor Katz Boltzmann approximation

  13. High-T behavior of lattice eos Fodor Katz Boltzmann approximation

  14. The zero pressure line St. Mod.

  15. Pressure: NP effects at any T If it were f(0) = 0, then the QGP pressure would be free of NP effects!

  16. Thermal distribution of Q² 1/16T² Q² 9T²

  17. Coalescense kinematics with strings m

  18. Coalescense: formula

  19. Coalescense factor

  20. Coalescense: string mass distribution Biro,Shanenko,Toneev: 1999 Prejudice: d = 1…3

  21. Coalescense ratio vs string mass Goal: fit the parameters of g(m) from low pt Prejudice: d = 1…3

  22. π K blue: fitted g(m) need for strings at low pt

  23. Inetgrated String-length Distribution K π π: <m>=0.087, d=1.187;K: <m>=0.121, d=1.595

  24. Comparison with RHIC Spectra v=0.274 π: T=100 MeV, q=1.096;K: T=70 MeV, q=1.102

  25. Antiproton spektrum (RHIC) Max:

  26. Kaon spektrum (RHIC) PHENIX STAR Max:

  27. TK=142MeV qK=1.059

  28. Pion spektrum (RHIC) PHENIX Max: no data around mpion

  29. Flows with p- Flows with Kaon

  30. qп1=1.096 vflow=0.27 Tп1=107MeV qп2=1.096 Tп2=75MeV vflow=0.55

  31. Summary • Strings give a realistic eos and E / N = 6T • Above Tc there are non-perturbative effects • Coalescence of Tsallis-Pareto distributions • Strings help the product formula at low pt • Expect at LHC: same T, different q

  32. If the accumulation of false beliefs is cleared away, Enlightenment will appear. But, strange enough, when people attain Enlightenment, they will realize that Without false beliefs there could be no Enlightement. (The Teaching of Buddha)

  33. Bibliography • arXiv: 0801.3998, T.S.Biro and J. Cleymans: The hadronization line in stringy matter • hep-ph / 98083941, T.S.Biro, P.Levai, J.Zimanyi and C.Traxler: Hadronization in heavy ion collisions, PRC59, ……, 1999 • T.S.Biro, A.A.Shanenko and V.D.Toneev: Toward Thermodynamic Consistency of Quasiparticle Picture, Phys.Atomic Nuclei 66, 982, 2003 • J.Cleymans, H.Oeschler, K.Redlich, S.Wheaton, PRC73, 034905, 2006.

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