The effects of intense magnetic fields on Landau levels in a neutron star

TL;DR

This paper proposes an approximate method to calculate the electron Fermi energy in neutron stars with intense magnetic fields, considering the magnetic field distribution and its impact on electron energy levels.

Contribution

It introduces a new approximation method for electron Fermi energy in neutron stars accounting for complex magnetic field distributions.

Findings

Electron Fermi energy depends on density, electron-to-baryon ratio, and magnetic field strength.

High magnetic fields can significantly influence electron energy levels in neutron star interiors.

Magnetic field energy release can generate high electron Fermi energies.

Abstract

In this paper, an approximate method of calculating the Fermi energy of electrons ($E_{F}(e)$) in a high-intensity magnetic field, based on the analysis of the distribution of a neutron star magnetic field, has been proposed. In the interior of a Neutron star, different forms of intense magnetic field could exist simultaneously and a high electron Fermi energy could be generated by the release of magnetic field energy. The calculation results show that: $E_{F}(e)$ is related to density $\rho$, the mean electron number per baryon $Y_{e}$ and magnetic field strength $B$.