Temperature-dependent cross sections for πφ and ρφ nonresonant reactions in hadronic matter

Abstract

With a potential of which the large-distance part reflects lattice gauge results and of which the short-distance part is given by one gluon exchange plus perturbative one- and two-loop corrections, the Schrödinger equation brings about temperature dependence of meson masses and mesonic quark-antiquark relative-motion wave functions. The ground-state meson masses drop with increasing temperature. The transition amplitude calculated from the potential, the meson masses and the wave functions gives temperature-dependent cross sections for the five nonresonant reactions πφ → KK̄* (or K*K̄), ρφ → K*K̄*, ρφ → KK̄, ρφ → KK̄* (or K*K̄) and ρφ → K*K̄*. The numerical temperature-dependent cross sections are parametrized. The peak cross section of either πφ → KK̄* or πφ → K*K̄* increases from T = 0 to T = 0.75Tc and decreases with further increasing temperature. The cross section for ρφ → KK̄, ρφ → KK̄* or ρφ → K*K̄* has a decreasing trend while the temperature increases from 0.75Tc.