Skyrmions scattering in (2+1)-dimensions

TL;DR

This paper investigates the scattering behavior of Skyrmions in a modified (2+1)-dimensional non-linear $O(3)$ model, revealing quasi-elastic collisions with energy profiles preserved and energy-dependent scattering angles.

Contribution

It provides numerical analysis of Skyrmion scattering in a specific (2+1)D model with added potential and Skyrme terms, confirming previous findings with different potentials.

Findings

Skyrmion scattering is quasi-elastic with preserved energy density profiles.

Low-energy Skyrmions tend to back-scatter.

High-energy Skyrmions scatter at right angles.

Abstract

The scattering properties of 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, are considered. Most of the work is numerical. The skyrmion-scattering is found to be quasi-elastic, the skyrmions' energy density profiles remaining unscathed after collisions. In low-energy processes the skyrmions exhibit back-scattering, while at larger energies they scatter at right angles. These results confirm those obtained in previous investigations, in which a similar problem was studied for a different choice of the potential-like term.