Time-Dependent BPS Skyrmions

TL;DR

This paper extends the BPS Skyrme model to include time-dependent solutions, analyzing their stability, oscillation frequencies, and half-lives to better understand dynamic properties of Skyrmions.

Contribution

It introduces a modified potential in the BPS Skyrme model enabling stable, time-dependent solutions and investigates their oscillatory behavior and stability characteristics.

Findings

Existence of stable, time-dependent Skyrmion solutions.

Determination of oscillation frequencies and half-lives.

Insights into the dynamic stability of Skyrmions.

Abstract

An extended version of the BPS Skyrme model that admits time-dependent solutions is discussed. Initially, by introducing a power law at the original potential term of the BPS Skyrme model the existence, stability and structure of the corresponding solutions is investigated. Then, the frequencies and half-lifes of the radial oscillations of the constructed time-dependent solutions are determined.