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D-mesons and charmonium states in hot isospin asymmetric strange hadronic matter

We study the properties of $D$ and $\bar{D}$ mesons in hot isospin asymmetric strange hadronic matter, arising due to their interactions with the hadrons in the hyperonic medium. The interactions of $D$ and $\bar{D}$ mesons with these light hadrons are derived by generalizing the chiral SU(3) model used for the study of hyperonic matter to SU(4). We also study the mass modifications of the charmonium states $J/ψ$, $ψ(3686)$ and $ψ(3770)$ in the isospin asymmetric strange hadronic matter at finite temperatures and investigate the possibility of the decay of the charmonium states into $D\bar D$ pairs in the hot hadronic medium. The mass modifications of these charmonium states arise due to their interaction with the gluon condensates of QCD, simulated by a scalar dilaton field introduced to incorporate the broken scale invariance of QCD within the effective chiral model. We also compute the partial decay widths of the charmonium states to the $D\bar {D}$ pairs in the hadronic medium. The strong dependence on density of the in-medium properties of the $D$, $\bar{D}$ and the charmonium states, as well as the partial decay widths of charmonium states to $D\bar {D}$ pairs, found in the present investigation, will be of direct relevance in observables like open charm enhancement as well as $J/ψ$ suppression in the compressed baryonic matter (CBM) experiments at the future Facility for Antiproton and Ion Research, GSI, where the baryonic matter at high densities is planned to be produced.