Temperature-dependent Cross Sections for Charmonium Dissociation in Collisions with Pions and Rhos in Hadronic Matter

TL;DR

This study calculates how meson-charmonium dissociation cross sections vary with temperature using temperature-dependent quark potentials, revealing unusual behaviors especially for J/psi and distinctions among charmonium states.

Contribution

It introduces temperature-dependent cross sections for charmonium dissociation reactions based on quark interchange models with temperature-sensitive potentials.

Findings

Masses of charmonia and mesons show significant temperature dependence.

Cross sections exhibit unusual behavior near the critical temperature T_c.

Differences in dissociation behaviors among charmonium states are identified.

Abstract

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 fifteen pion-charmonium and rho-charmonium dissociation reactions. 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 can not 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.