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Pions and kaons from stringy quark matter T.S.Bíró and K.Ürmössy, MTA KFKI RMKI Budapest, Hungary String model, string distribution EoS with stringy interaction Coalescense from stringy matter Pion and kaon pt spectra SQM 2008, Peking, China.
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Dictionary.refrence.com/search?q=stringy Modern Language Assciation, Random House Inc. 2008 1.Resembling a string or strings, consisiting of strings or stringlike pieces: stringy weeds; a stringy fiber 2.Coarsely or toughly fibrous, as meat 3.Sinewy or wiry, as a person 4.Ropy, as a glutinous liquid The American Heritage Dictionary of the English Language, Houghton Mifflin Co. 2006 1.Consisting of, resembling or containing strings or a string 2.Slender and sinewy; wiry 3.Forming strings, as a viscous liquid; ropy.
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Statistical Model
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How can be E / N = 6 T ? Massive hadrons (rho?)
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How can be E / N = 6 T ? Statistical Model: hadronization point around µ = 0 (RHIC, LHC)
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How can be E / N = 6 T ? Ideal gas of radiation
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How can be E / N = 6 T ? Bag Model for QGP
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How can be E / N = 6 T ? Stringy Massless QGP
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How can be E / N = 6 T ? Stringy Massless QGP Biro, Cleymans, 2008
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Stringy corrections to QGP Endline: last possible solution Boltzmann approximation T µ This branch is given by Lambert’s W
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High – T equation of state
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Medium-high-T behavior of lattice eos
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High-T behavior of lattice eos Boltzmann approximation Fodor Katz
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High-T behavior of lattice eos Boltzmann approximation Fodor Katz
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The zero pressure line St. Mod.
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Pressure: NP effects at any T If it were f(0) = 0, then the QGP pressure would be free of NP effects!
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Thermal distribution of Q ² Q²Q² 9T ² 1/16T ²
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Coalescense kinematics with strings m
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Coalescense: formula 1
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We do not use this!
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Coalescense: formula
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Coalescense factor
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Coalescense: string mass distribution Prejudice: d = 1…3 Biro,Shanenko,Toneev: 1999
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Coalescense ratio vs string mass Prejudice: d = 1…3 Goal: fit the parameters of g(m) from low p t
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need for strings at low p t π K blue: fitted g(m)
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π: =0.087, d=1.187; K: =0.121, d=1.595 Inetgrated String-length Distribution K π
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π: T=100 MeV, q=1.096; K: T=70 MeV, q=1.102 Comparison with RHIC Spectra v=0.274
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pt spectra from quark coalescence = 0.5 GeV d = 1, 1.3, 2, 3 quark *antiquark / meson ratio
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and d for quark coalescence d
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Max: Antiproton spektrum (RHIC)
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Max: Kaon spektrum (RHIC) STAR PHENIX
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T K =142MeV q K =1.059
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Pion spektrum (RHIC) Max: no data around m pion PHENIX
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Flows with p - Flows with Kaon
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v flow =0.27 T п1 =107MeV q п1 =1.096 q п2 =1.096 T п2 =75MeV v flow =0.55
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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
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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)
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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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