Open Charm Mesons and Charmonium states in Magnetized Strange Hadronic Medium at Finite Temperature

We investigate the masses of the pseudoscalar ($D$($D^0$, $D^+$), $\bar{D}$($\bar{D^0}$, $D^-$) and vector open charm mesons ($D^*$($D^{*0}$, $D^{*+}$), ${\bar{D}}^*$(${\bar{D}}^{*0}$, $D^{*-}$) as well as the pseudoscalar ($\eta_c(1S)$, $\eta_c(2S)$) and the vector charmonium states ($J/\psi$, $\psi(2S)$, $\psi(1D)$) in the asymmetric hot strange hadronic medium in the presence of strong magnetic fields. In the magnetized medium, the mass modification of open charm mesons due to their interactions with baryons and the scalar fields ($\sigma$, $\zeta$, and $\delta$) are investigated in a chiral effective model. Moreover, the charged pseudoscalar meson ($D^\pm$), as well as the longitudinal component of charged vector meson ($D^{*\pm \parallel}$), experience additional positive mass modifications in the magnetic field due to Landau quantization. The effect of the modification of gluon condensates simulated by the medium change of dilaton field $\chi$ on the masses of the charmonia is also calculated in the chiral effective model. At high temperatures, the magnetically induced modifications of scalar fields significantly reduce the in-medium masses of mesons. The effects of magnetically induced spin mixing between the pseudoscalar and the vector mesons are incorporated in our study. The spin mixing result in a positive mass shift for the longitudinal component of the vector mesons and a negative mass shift for the pseudoscalar mesons in the presence of the magnetic field. From the obtained in-medium mass shifts of charmonia and open charm mesons, we have also calculated the partial decay widths of $\psi(1D)$ to $D\bar{D}$, using a light quark pair creation model, namely the $^3P_0$ model. Spin mixing and strangeness fraction enhance the partial decay width at small magnetic fields.