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: $\pi J/\psi \to {\overline{D}}^{*}D$ or $\overline{D}{D}^{*}$, $\pi J/\psi \to {\overline{D}}^{*}{D}^{*}$, $\pi {\psi }^{\prime }\to {\overline{D}}^{*}D$ or $\overline{D}{D}^{*}$, $\pi {\psi }^{\prime }\to {\overline{D}}^{*}{D}^{*}$, $\pi {\chi }_c\to {\overline{D}}^{*}D$ or $\overline{D}{D}^{*}$, $\pi {\chi }_c\to {\overline{D}}^{*}{D}^{*}$, $\rho J/\psi \to \overline{D}D$, $\rho J/\psi \to {\overline{D}}^{*}D$ or $\overline{D}{D}^{*}$, $\rho J/\psi \to {\overline{D}}^{*}{D}^{*}$, $\rho {\psi }^{\prime }\to \overline{D}D$, $\rho {\psi }^{\prime }\to {\overline{D}}^{*}D$ or $\overline{D}{D}^{*}$, $\rho {\psi }^{\prime }\to {\overline{D}}^{*}{D}^{*}$, $\rho {\chi }_c\to \overline{D}D$, $\rho {\chi }_c\to {\overline{D}}^{*}D$ or $\overline{D}{D}^{*}$, and $\rho {\chi }_c\to {\overline{D}}^{*}{D}^{*}$. 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 ${\psi }^{\prime }$ and ${\chi }_c$ cannot make their difference in mass in the temperature region $0.6T_{\mathrm{c}}⩽T<T_{\mathrm{c}}$ but can make the ${\psi }^{\prime }$ dissociation different from the ${\chi }_c$ dissociation.

• Received 30 October 2011

DOI:https://doi.org/10.1103/PhysRevC.85.064904