Mesons, Baryons and Waves in the Baby Skyrmion Model

TL;DR

This paper explores classical solutions in the baby-Skyrmion model, identifying higher energy states, decay processes, wave solutions related to sine-Gordon, and non-topological stationary states, enhancing understanding of Skyrmion dynamics.

Contribution

It introduces the existence of higher energy Skyrmion states, their decay mechanisms, and links wave solutions to sine-Gordon equations within the baby-Skyrmion framework.

Findings

Higher energy Skyrmion states act as resonances.

Skyrmion decay into pairs and simpler states.

Wave solutions relate to sine-Gordon equation.

Abstract

We study various classical solutions of the baby-Skyrmion model in $(2+1)$ dimensions. We point out the existence of higher energy states interpret them as resonances of Skyrmions and anti-Skyrmions and study their decays. Most of the discussion involves a highly exited Skyrmion-like state with winding number one which decays into an ordinary Skyrmion and a Skyrmion-anti-Skyrmion pair. We also study wave-like solutions of the model and show that some of such solutions can be constructed from the solutions of the sine-Gordon equation. We also show that the baby-Skyrmion has non-topological stationary solutions. We study their interactions with Skyrmions.