Skyrmion-Skyrmion Scattering

TL;DR

This paper investigates low-energy Skyrmion scattering using a finite-dimensional approximation, calculating the induced metric on the manifold of combined Skyrmion configurations.

Contribution

It introduces a method to analyze Skyrmion interactions by truncating to a finite number of degrees of freedom and computing the induced metric.

Findings

Derived the induced metric on the Skyrmion configuration manifold.

Validated the product ansatz for large separation Skyrmions.

Provided a framework for studying Skyrmion scattering dynamics.

Abstract

We study the scattering of Skyrmions at low energy and large separation using the method proposed by Manton of truncation to a finite number of degree freedom. We calculate the induced metric on the manifold of the union of gradient flow curves, which for large separation, to first non-trivial order is parametrised by the variables of the product ansatz.