Temperature-dependent cross sections for meson-meson nonresonant reactions in hadronic matter

Abstract

We present a potential of which the short-distance part is given by one gluon exchange plus perturbative one- and two-loop corrections and of which the large-distance part exhibits a temperature-dependent constant value. The Schrodinger equation with this temperature-dependent potential yields a temperature dependence of the mesonic quark-antiquark relative-motion wave function and of meson masses. The temperature dependence of the potential, the wave function and the meson masses brings about temperature dependence of cross sections for the nonresonant reactions pi pi -> rho rho for I=2, KK -> K* K* for I=1, KK* -> K* K* for I=1, pi K -> rho K* for I=3/2, pi K* -> rho K* for I=3/2, rho K -> rho K* for I=3/2 and pi K* -> rho K for I=3/2. As the temperature increases, the rise or fall of peak cross sections is determined by the increased radii of initial mesons, the loosened bound states of final mesons, and the total-mass difference of the initial and final mesons. The temperature-dependent cross sections and meson masses are parametrized.

42 pages with 10 figures

References in corpus (5)

• Renormalized Polyakov loops in many representations
• Color Screening and Quark-Quark Interactions in Finite Temperature QCD
• Heavy Quark Interactions and Quarkonium Binding
• Quarkonia and Quark Drip Lines in Quark-Gluon Plasma
• Cross sections for meson-meson nonresonant reactions

Cited by in corpus (5)

• Temperature-dependent cross sections for charmonium dissociation in collisions with kaons and eta mesons in hadronic matter
• Temperature-dependent Cross Sections for Charmonium Dissociation in Collisions with Pions and Rhos in Hadronic Matter
• Relation between quark-antiquark potential and quark-antiquark free energy in hadronic matter
• Production of $\psi (4040)$, $\psi (4160)$, and $\psi (4415)$ mesons in strong interactions
• Charmonium dissociation in collision with phi meson in hadronic matter