Modification of the masses of the lightest neutral mesons in a hadronic medium under an external magnetic field

TL;DR

This study investigates how external magnetic fields and baryonic density affect the effective masses of neutral mesons in a hadronic medium, using a Quantum Hadrodynamics model with one-loop approximation.

Contribution

It provides a detailed analysis of meson mass modifications under strong magnetic fields, incorporating full baryon coupling effects including anomalous magnetic moments.

Findings

Masses of neutral mesons are moderately affected by magnetic fields for certain mesons.

Dependence on magnetic field B is negligible for some mesons.

The study covers magnetic intensities from 10^{17} G to 10^{19} G.

Abstract

The effective masses of the neutral mesons in a hadronic medium and under an external magnetic field are evaluated as functions of the baryonic density and the field intensity. For this purpose the meson polarization is evaluated in the one loop approximation using a Quantum Hadrodynamics model which includes pions, sigma, omega, and rho mesons. The propagators of the baryons include the full effect of the coupling to the magnetic field through their charges and their anomalous magnetic moments. Within the range of magnetic intensities considered here $10^{17}$ G $< B < 10^{19}$ G, the dependence on B is moderate for the pion and the longitudinal component of the omega meson, and negligible for the remaining mesons.