Mass modification ofDmeson in hot hadronic matter

We evaluate the in-medium $D$- and $\overline{D}$-meson masses in hot hadronic matter induced by interactions with the light hadron sector described in a chiral SU(3) model. The effective Lagrangian approach is generalized to SU(4) to include charmed mesons. We find that the $D$ mass drops substantially at finite temperatures and densities, which open the channels of the decay of the charmonium states $\left({\Psi }^{\prime },{\chi }_c,J∕\Psi \right)$, to $D\overline{D}$ pairs in the thermal medium. The effects of vacuum polarizations from the baryon sector on the medium modification of the $D$-meson mass relative to those obtained in the mean field approximation are investigated. The results of the present work are compared to calculations based on the QCD sum rule approach, the quark-meson coupling model, chiral perturbation theory, as well as to studies of quarkonium dissociation using heavy quark potential from lattice QCD.