# Charmonium decay widths in magnetized matter

## TL;DR

This paper investigates how strong magnetic fields and isospin asymmetry in nuclear matter affect the decay widths of charmonium states into D meson pairs, using a combined theoretical approach.

## Contribution

It introduces a comprehensive calculation of in-medium charmonium decay widths in magnetized, asymmetric nuclear matter using the $^3P_0$ model and a chiral effective model, considering magnetic field effects and anomalous magnetic moments.

## Key findings

- Magnetic fields significantly alter decay widths of charmonium states.
- Isospin asymmetry enhances the medium modifications of decay widths.
- Magnetic field effects could influence charmed meson production in heavy ion collisions.

## Abstract

We study the partial decay widths of the charmonium states ($J/\psi$, $\psi(3686)$, $\psi(3770)$, $\chi_{c0}$, $\chi_{c2}$) to $D\bar D$ ($D^+D^-$ or $D^0\bar {D^0}$) in isospin asymmetric nuclear matter, in the presence of strong magnetic fields. The in-medium partial decay widths of charmonium states to $D\bar D$ are calculated within a light quark--antiquark pair creation model, namely the $^3P_0$ model, using the in--medium masses of the charmonia as well as $D$ and $\bar D$ mesons in the magnetized nuclear matter obtained within a chiral effective model. The presence of a magnetic field leads to Landau quantization of the energy levels of the proton in the nuclear medium. The effects of magnetic field and isospin asymmetry on the charmonium decay widths to $D\bar D$ are found to be quite prominent. The effects of the anomalous magnetic moments have also been taken into consideration for obtaining the in-medium masses of these heavy flavour mesons, used to calculate the partial decay widths of the charmonium states. The medium modifications of the charmonium decay widths can have observable consequences on the production of the charmed mesons in high energy asymmetric heavy ion collision experiments.