Static skyrmions in (2+1)-dimensions

TL;DR

This paper investigates static skyrmions in a modified (2+1)-dimensional non-linear O(3) model, demonstrating their stability and repulsive interactions through numerical evolution, extending previous findings with more general configurations.

Contribution

It introduces a more general field configuration in the (2+1)-D non-linear O(3) model and studies the stability and interactions of static skyrmions numerically.

Findings

Skyrmions are stable in the modified model.

A repulsive force exists among the skyrmions.

Results confirm previous studies with different potential terms.

Abstract

In the spirit of previous papers, but using more general field configurations, the non-linear O(3) model in (2+1)-D, modified by the addition of both a potential-like term and a Skyrme-like term, is considered. The instanton solutions are numerically evolved in time and some of their stability properties studied. They are found to be stable, and a repulsive force is seen to exist among them. These results, which are restricted to the case of zero speed systems, confirm those obtained in previous investigations, in which a similar problem was studied for a different choice of the potential-like term.