Magnetic response of baryon properties in a skyrmion model

TL;DR

This paper investigates how a uniform magnetic field affects baryon properties using a skyrmion model, revealing shape deformation, mass variation, and implications for magnetar equations of state.

Contribution

It introduces an axially symmetric ansatz to study baryons in magnetic fields and uncovers the magnetic field's impact on baryon mass, shape, and magnetar properties.

Findings

Baryon shape is stretched along magnetic field

Baryon mass first decreases then increases with magnetic field

Magnetar equation of state is significantly affected by magnetic field

Abstract

An axially symmetric ansatz is proposed to investigate the properties of baryon in a uniform magnetic field. The baryon number is shown to be conserved, while the baryon shape is stretched along the magnetic field. It is found that with increasing magnetic field strength, the static mass of the baryon first decreases and then increases, while the size of the baryon first increases and then decreases. Finally, in the core part of the magnetar, the equation of state strongly depends on the magnetic field, which modifies the mass limit of the magnetar.