D mesons in isospin asymmetric strange hadronic matter

We study the in-medium properties of $D$ and $\bar{D}$ mesons in isospin asymmetric hyperonic matter arising due to their interactions with the light hadrons. 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). The nucleons, the scalar isoscalar meson, $\sigma$ and the scalar-isovector meson, $\delta$ as modified in the strange hadronic matter, modify the masses of $D$ and $\bar{D}$ mesons. It is found that as compared to the $\bar{D}$ mesons, the $D$ meson properties are more sensitive to the isospin asymmetry at high densities. The effects of strangeness in the medium on the properties of $D$ and $\bar{D}$ mesons are studied in the present investigation. The $D$ mesons ($D^0$,$D^+$) are found to undergo larger medium modifications as compared to $\bar{D}$ mesons ($\bar {D^0}$, $D^-$) with the strangeness fraction, $f_s$ and these modifications are observed to be more appreciable at high densities. The present study of the in-medium properties of $D$ and $\bar{D}$ mesons will be of relevance for the experiments in the future Facility for Antiproton and Ion Research, GSI, where the baryonic matter at high densities will be produced. The isospin asymmetric effects in the doublet $D = (D^{0}, D^{+})$ in the strange hadronic matter should show in observables like their production and flow in asymmetric heavy-ion collisions as well as in $J/\psi$ suppression.