Magnetized hot neutron matter: lowest order constrained variational calculations

TL;DR

This study investigates the thermodynamic properties of spin polarized hot neutron matter under strong magnetic fields using variational methods, revealing effects on free energy symmetry, equation of state, and effective mass.

Contribution

It applies the lowest order constrained variational method with AV18 potential to analyze magnetic field effects on hot neutron matter at finite temperature, a novel approach in this context.

Findings

Strong magnetic fields break free energy symmetry.

Equation of state becomes stiffer with increased magnetic field and temperature.

Effective mass varies with magnetic field for spin-up and spin-down neutrons.

Abstract

We have studied the spin polarized hot neutron matter in the presence of strong magnetic field. In this work, using the lowest order constrained variational method at finite temperature and employing $AV_{18}$ nuclear potential, some thermodynamic properties of spin polarized neutron matter such as spin polarization parameter, free energy, equation of state and effective mass have been calculated. It has been shown that the strong magnetic field breaks the symmetry of the free energy, leading to a magnetized equilibrium state. We have found that the equation of state becomes stiffer by increasing both magnetic field and temperature. The magnetic field dependence of effective mass for the spin-up and spin-down neutrons has been investigated.