$J/\psi$ and $\eta_c$ in asymmetric hot magnetized nuclear matter

TL;DR

This paper studies how strong magnetic fields in hot, asymmetric nuclear matter affect the masses of $J/\psi$ and $\eta_c$ mesons using chiral models and QCD sum rules, relevant for heavy ion collision experiments.

Contribution

It introduces a combined approach of chiral SU(3) model and QCD sum rules to evaluate meson mass shifts in magnetized, asymmetric nuclear matter at finite temperature.

Findings

Magnetic fields significantly alter meson masses in nuclear matter.

Mass shifts depend on the degree of asymmetry and temperature.

Results can inform experimental observations in heavy ion collisions.

Abstract

We investigate the mass-shift of vector channel $J/\psi$ and pseudoscalar channel $\eta_c$ in strongly magnetized asymmetric nuclear medium at finite temperature using the conjunction of chiral $SU(3)$ model with the QCD sum rules. The magnetic field dependence of scalar gluon condensate $\left\langle \frac{\alpha_{s}}{\pi} G^a_{\mu\nu} {G^a}^{\mu\nu} \right\rangle$ as well as the twist-2 gluon condensate $\left\langle \frac{\alpha_{s}}{\pi} G^a_{\mu\sigma} {{G^a}_\nu}^{\sigma} \right\rangle $ calculated from chiral SU($3$) model, are implemented in QCD sum rules to calculate the magnetic field dependence of $J/\psi$ and $\eta_c$ meson masses. The effects of constant external magnetic field at finite density and temperature of the medium are found to be appreciable in symmetric and asymmetric nuclear matter. The results of the present investigation may be helpful to understand the experimental observables arising from the Compressed Baryonic Matter (CBM) produced in asymmetric non-central heavy ion collision experiments.