Solitons in the Gauged Skyrme-Maxwell Model

TL;DR

This paper investigates soliton solutions in the gauged Skyrme model with a pion mass term, revealing how electromagnetic coupling affects their symmetry, charge, flux, and angular momentum, with mass decreasing as gauge coupling increases.

Contribution

It demonstrates the existence and properties of gauged Skyrmions with electromagnetic interactions, including symmetry breaking, charge, flux, and angular momentum quantization.

Findings

Gauged Skyrmions carry both electric charge and magnetic flux.

Electromagnetic coupling breaks the symmetry of Skyrmion configurations.

Mass decreases monotonically with increasing gauge coupling.

Abstract

We consider soliton solutions of the U(1) gauged Skyrme model with the pion mass term. The domain of existence of gauged Skyrmions is restricted from above by the value of the pion mass. Concentrating on the solutions of topological degree one, we find that coupling to the electromagnetic field breaks the symmetry of the configurations, the Skyrmions carrying both an electric charge and a magnetic flux, with an induced dipole magnetic moment. The Skyrmions also possess an angular momentum, which is quantized in the units of the electric charge. The mass of the gauged Skyrmions monotonically decreases with increase of the gauge coupling.