Approximate analytical solutions of the baby Skyrme model

TL;DR

This paper develops an analytical approximation for baby skyrmions that accurately captures their properties and stability, providing insights into multiskyrmion solutions and their universal features.

Contribution

It introduces an analytic approximation method that effectively describes baby skyrmions and multiskyrmion stability, improving understanding over purely numerical approaches.

Findings

Analytic approximation matches numerical properties of baby skyrmions.

The method accurately predicts stability and decay channels.

Universal characteristics of multiskyrmion configurations are identified.

Abstract

In present paper we show that many properties of the baby skyrmions, which have been determined numerically, can be understood in terms of an analytic approximation. In particular, we show that this approximation captures properties of the multiskyrmion solutions (derived numerically) such as their stability towards decay into various channels, and that it is more accurate for the "new baby Skyrme model" which describes anisotropic physical systems in terms of multiskyrmion fields with axial symmetry. Some universal characteristics of configurations of this kind are demonstrated, which do not depend on their topological number.