Multi-soliton dynamics in the Skyrme model

TL;DR

This paper studies the complex interactions and scattering behaviors of multi-solitons in the Skyrme model, revealing similarities to monopole configurations and computing minimal energy states for baryon numbers one to four.

Contribution

It introduces a method to construct attractive multi-soliton configurations and employs advanced numerical algorithms to analyze their scattering and minimal energy states.

Findings

Multi-soliton scattering resembles BPS monopole interactions.

Constructed maximally attractive configurations from simple profiles.

Computed minimal energy skyrmions for baryon numbers 1 to 4 within a few percent.

Abstract

We exhibit the dynamical scattering of multi-solitons in the Skyrme model for configurations with charge two, three and four. First, we construct maximally attractive configurations from a simple profile function and the product ansatz. Then using a sophisticated numerical algorithm, initially well-separated skyrmions in approximately symmetric configurations are shown to scatter through the known minimum energy configurations. These scattering events illustrate a number of similarities to BPS monopole configurations of the same charge. A simple modification of the dynamics to a dissipative regime, allows us to compute the minimal energy skyrmions for baryon numbers one to four to within a few percent.