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Temperature-dependent Cross Sections for Meson-Meson Nonresonant Reactions in Hadronic Matter

Temperature-dependent Cross Sections for Meson-Meson Nonresonant Reactions in Hadronic Matter. Xiao-Ming Xu Collaborators: Y.-P. Zhang, Hui-Jun Ge. PHENIX results: central Au-Au collisions, =200GeV, mid-rapidity STAR results:

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Temperature-dependent Cross Sections for Meson-Meson Nonresonant Reactions in Hadronic Matter

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  1. Temperature-dependent Cross Sections for Meson-Meson Nonresonant Reactionsin Hadronic Matter Xiao-Ming Xu Collaborators: Y.-P. Zhang, Hui-Jun Ge

  2. PHENIX results: central Au-Au collisions, =200GeV, mid-rapidity STAR results: peripheral Au-Au collisions, =200GeV,mid-rapidity

  3. BRAHMS results: rapidity dependence in central collisions constant  near midrapidity slowly decrease  the other region constant 

  4. PHENIX results: pT and centrality dependences constant  constant the whole centrality range increase  pT increase  centrality

  5. Conclusion:, , K are dominant meson species in hadronic matter. Role: • Meson-meson scatterings are crucial to chemical equilibration, thermalization, hadron flows and hadron yields. • Earlier decoupled mesons due to small cross sections can show relatively clear information on quark-gluon plasma.

  6. Goal: meson-meson nonresonant reactions I=2  I=1 KKKK* I=1 KK*K*K I=3/2 KK* I=3/2 K*K* I=3/2 KK* I=3/2 K*K

  7. Quark-interchange Mechanism  elastic scatterings: T. Barnes, E.S. Swanson, Phys. Rev. D46 (1992) 131 E.S. Swanson, Ann. Phys. 220 (1992) 73 J/ dissociation cross sections: K. Martins, D. Blaschke, E. Quack, Phys. Rev. C51 (1995) 2723 C.-Y. Wong, E.S. Swanson, T. Barnes, Phys. Rev. C65 (2001) 014903 T. Barnes, E.S. Swanson, C.-Y. Wong, X.-M. Xu, Phys. Rev. C68 (2003) 014903 X.-M. Xu, Nucl. Phys. A697 (2002) 825 Meson-meson nonresonant reactions: Y.-Q. Li, X.-M. Xu, Nucl. Phys. A 794 (2007) 210

  8. Prior form: gluon propagation before quark interchange

  9. Post form: gluon propagation after quark interchange

  10. Phase shift Cross section

  11. transition amplitude in the prior form transition amplitude in the post form

  12. in vacuum, Buchmuller-Tye potential Linear confinement and the potential arising from one gluon exchange plus perturbative one- and two-loop corrections

  13. in vacuum, Potential in Momentum SpaceX.-M. Xu, Nucl. Phys. A697 (2002) 825 The first term is the Buchmuller-Tye potential. The second term is the spin-spin interaction from the one-gluon exchange. The third term is the spin-spin interaction from the one- and two- loop corrections to the one-gluon exchange.

  14. T=0.58Tc T=0.66Tc T=0.74Tc T=0.84Tc T=0.9Tc T=0.94Tc T=0.97Tc T=1.06Tc T=1.15Tc F. Karsch, et al., Nucl. Phys. B605, 579 (2001)

  15. Medium Effect Lattice QCD calculations give temperature-dependent quark-quark potential. Medium screening leads to weak binding of quarks. When temperature increases, the confinement potential gets weak and the bound state gets loose.

  16. Temperature-dependent potential in medium critical temperature Tc=0.175 GeV.

  17. the parametrization fit to the lattice data

  18. meson masses from the schrodinger equation

  19. in medium, Potential in Momentum Space Calculate the transition amplitudes with thepotential to obtain unpolarized cross sections

  20. I=2 

  21. I=1 KKKK*

  22. Summary We have obtained: 1. temperature-dependent potential fitted to the lattice data 2. temperature-dependent masses for , , K, K* 3. temperature-dependent cross sections for meson-meson nonresonant reactions

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