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→K K ^*(or K ^* K), πφ→K ^* K ^*,ρφ→K K,ρφ→K K ^*(orK ^* K) and ρφ→K ^* K ^*. The numerical temperature-dependent cross sections are parametrized. The peak cross section of either πφ→K K ^*or πφ→K ^* K ^*increases from T=0 to T=0.75 T _cand decreases with further increasing temperature. The cross section for ρφ→K K,ρφ→K K ^*and ρφ→K ^* K ^*has a decreasing trend while the temperature increases from 0.75 T _c.