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In this article, we calculate the mass shift and decay constant of isospinaveraged pseudoscalar ($D^+$,$D^0$) and scalar ($D^+_0$,$D^0_0$) mesons by themagnetic field induced quark and gluon condensates at finite density andtemperature of asymmetric nuclear matter. We have calculated the in-mediumchiral condensates from the chiral SU(3) mean field model and subsequently usedthese condensates in QCD Sum Rules (QCDSR) to calculate the effective mass anddecay constant of $D$ mesons. Consideration of external magnetic field effectsin hot and dense nuclear matter lead to appreciable modification in the massesand decay constants of $D$ mesons. Furthermore, we also studied the effectivedecay width of higher charmonium states($\psi(3686),\psi(3770),{{\chi_c}_0}(3414),{{\chi_c}_2}(3556)$) as a by-productby using $^3P_0$ model which can have an important impact on the yield of$J/\psi$ mesons. The results of present work will be helpful to understand theexperimental observables of the heavy ion colliders which aim to produce matterat finite density and moderate temperature.

Analysis of pseudoscalar and scalar $D$ mesons and charmonium decay width in hot magnetized asymmetric nuclear matter