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We investigate the in-medium masses of open charm mesons ($D$($D^0$, $D^+$),$\bar{D}$($\bar{D^0}$, $D^-$), $D_s$(${D_{s}}^+$, ${D_{s}}^-$)) and charmoniumstates ($J/\psi$, $\psi(3686)$, $\psi(3770)$, $\chi_{c0}$, $\chi_{c2}$) instrongly magnetized isospin asymmetric strange hadronic matter using a chiraleffective model. In the presence of the magnetic field, the number density andscalar density of charged baryons have contributions from Landau energy levels.The mass modifications of open charm mesons arise due to their interactionswith nucleons, hyperons, and the scalar fields (the non-strange field $\sigma$,strange field $\zeta$ and isovector field $\delta$) in the presence of themagnetic field. The mass modifications of the charmonium states arise from thevariation of dilaton field ($\chi$) in the magnetized medium, which simulatesthe gluon condensates of QCD. The in-medium mass of open charm mesons andcharmonia are observed to decrease with an increase in baryon density, whereasthe charged $D^+$, $D^-$, ${D_{s}}^+$ and ${D_{s}}^-$ mesons have additionalpositive mass shifts due to Landau quantization in the presence of the magneticfield. The effects of strangeness fraction are found to be more dominant forthe $\bar{D}$ mesons as compared to the $D$ mesons. The mass shifts ofcharmonia are observed to be larger in hyperonic medium compared to the nuclearmedium.

Open charm mesons and Charmonia in magnetized strange hadronic matter