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

TL;DR

This paper investigates how hot, dense, and magnetized nuclear matter affects the properties of $D$ mesons and charmonium decay widths, providing insights relevant for heavy ion collision experiments.

Contribution

It introduces a comprehensive calculation of in-medium $D$ meson masses and decay constants considering magnetic fields, finite density, and temperature, and studies charmonium decay widths using the $^3P_0$ model.

Findings

Magnetic fields significantly modify $D$ meson masses and decay constants.

Effective decay widths of higher charmonium states are affected in hot, dense, magnetized matter.

Results aid in interpreting heavy ion collision experimental data.

Abstract

In this article, we calculate the mass shift and decay constant of isospin averaged pseudoscalar ($D^+$,$D^0$) and scalar ($D^+_0$,$D^0_0$) mesons by the magnetic field induced quark and gluon condensates at finite density and temperature of asymmetric nuclear matter. We have calculated the in-medium chiral condensates from the chiral SU(3) mean field model and subsequently used these condensates in QCD Sum Rules (QCDSR) to calculate the effective mass and decay constant of $D$ mesons. Consideration of external magnetic field effects in hot and dense nuclear matter lead to appreciable modification in the masses and decay constants of $D$ mesons. Furthermore, we also studied the effective decay width of higher charmonium states ($\psi(3686),\psi(3770),{{\chi_c}_0}(3414),{{\chi_c}_2}(3556)$) as a by-product by 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 the experimental observables of the heavy ion colliders which aim to produce matter at finite density and moderate temperature.