Dielectric Skyrmions

TL;DR

This paper analyzes the dielectric Skyrme model, deriving energy bounds, studying Skyrmion configurations, and demonstrating how near-BPS conditions can produce realistic binding energies consistent with experimental data.

Contribution

It introduces Bogomol'nyi bounds for the dielectric Skyrme model and explores Skyrmion bound states and energies near the BPS limit, providing new insights into their structure and stability.

Findings

Skyrmions are composed of three orthogonal dipoles in the attractive channel.

Numerical analysis shows Skyrmions form bound states of point-particle-like configurations.

Classical binding energies close to experimental values are achievable near the BPS limit.

Abstract

We consider the dielectric Skyrme model proposed recently, with and without the addition of the standard pion mass term. Then we write down Bogomol'nyi-type energy bounds for both the massless and massive cases. We further show that, except for when taking the strict BPS limit, the Skyrmions are made of 3 orthogonal dipoles that can always be placed in their attractive channel and form bound states. Finally, we study the model numerically and discover that, long before realistic binding energies are reached, the Skyrmions become bound states of well-separated point-particle-like Skyrmions. By going sufficiently close to the BPS limit, we are able to obtain classical binding energies of realistic values compared with experiments.