Temperature-dependent cross sections for charmonium dissociation in collisions with pions and ρ mesons in hadronic matter

Meson-charmonium dissociation reactions governed by the quark interchange are studied with temperature-dependent quark potentials. Quark-antiquark relative-motion wave functions and masses of charmonia and charmed mesons are determined by the central spin-independent part of the potentials or by the central spin-independent part and a smeared spin-spin interaction. The prominent temperature dependence of the masses is found. Based on the potentials, the wave functions, and the meson masses, we obtain temperature-dependent cross sections for the fifteen dissociation reactions: pi J/psi -> (D) over bar *D or (D) over barD*, pi J/psi -> (D) over bar *D*, pi psi' -> (D) over bar *D or (D) over barD*, pi psi' -> (D) over bar *D*, pi chi(c) -> (D) over bar *D or (D) over barD*, pi chi(c) -> (D) over bar *D*, rho J/psi -> (D) over barD, rho J/psi -> (D) over bar *D or (D) over barD*, rho J/psi -> (D) over bar *D*, rho psi' -> (D) over barD, rho psi' -> (D) over bar *D or (D) over barD*, rho psi' -> (D) over bar *D*, rho chi(c) -> (D) over barD, rho chi(c) -> (D) over bar *D or (D) over barD*, and rho chi(c) -> (D) over bar *D*. The numerical cross sections are parametrized for future applications in hadronic matter. The particular temperature dependence of the J/psi bound state leads to unusual behavior of the cross sections for endothermic J/psi dissociation reactions. The quantum numbers of psi' and chi(c) cannot make their difference in mass in the temperature region 0.6T(c) <= T < T-c but can make the psi' dissociation different from the chi(c) dissociation.