Vacuum effects on the properties of nuclear matter under an external magnetic field

TL;DR

This paper investigates how external magnetic fields influence nuclear matter properties by extending covariant models to include Dirac sea effects, anomalous magnetic moments, and divergence handling, revealing moderate effects within certain conditions.

Contribution

It introduces a method to incorporate Dirac sea effects and magnetic field divergences into covariant nuclear matter models, considering anomalous magnetic moments.

Findings

Dirac sea effects are moderate under certain densities and magnetic fields.

A new divergence handling procedure for magnetic field effects is proposed.

Single particle and thermodynamical properties are affected but remain within moderate ranges.

Abstract

The effects of the Dirac sea of the nucleons are investigated within a covariant model of the hadronic interaction. We extend the usual Mean Field Approximation and present a procedure to deal with divergences which are proportional to polynomials on the magnetic field intensity. For this purpose a nucleon propagator is used which takes accounts of the full effect of the magnetic field as well as the presence of the anomalous magnetic moments of both protons and neutrons. We examine single particle properties and bulk thermodynamical quantities and conclude that within a reasonable range of densities and magnetic intensities the effects found are moderate.