Skyrmions and domain walls

TL;DR

This paper investigates a modified 3+1 dimensional Skyrme model with a different mass term, revealing the existence of domain wall solutions and their interaction with Skyrmions in an equivalent 2+1 dimensional setting.

Contribution

It introduces a novel mass term in the Skyrme model and demonstrates the existence of domain walls and their absorption of Skyrmions in a reduced dimensional framework.

Findings

Existence of domain wall solutions in the modified Skyrme model

Skyrmions are absorbed by domain walls in the 2+1 dimensional equivalent

New insights into Skyrmion-domain wall interactions

Abstract

We study the 3+1 dimensional Skyrme model with a mass term different from the usual one. We show that this new model possesses domain walls solutions. We describe how, in the equivalent 2+1 dimensional model, the Skyrmion is absorbed by the wall.