Compact baby skyrmions

TL;DR

This paper derives compacton solutions, including spinning Q-balls, Q-shells, peakons, and topological baby skyrmions, in a specific baby Skyrme model, highlighting their potential stability and multi-soliton configurations.

Contribution

It introduces new compact soliton solutions in the baby Skyrme model with a specific potential, including non-topological and topological configurations.

Findings

Derived compacton solutions with compact support.

Found stable multi-soliton configurations for separated solutions.

Identified new topological baby skyrmions.

Abstract

For the baby Skyrme model with a specific potential, compacton solutions, i.e., configurations with a compact support and parabolic approach to the vacuum, are derived. Specifically, in the non-topological sector, we find spinning Q-balls and Q-shells, as well as peakons. Moreover, we obtain compact baby skyrmions with non-trivial topological charge. All these solutions may form stable multi-soliton configurations provided they are sufficiently separated.