Solitons in the Gauged Skyrme-Maxwell Model

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 brea...

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Bibliographic Details
Published inSymmetry, integrability and geometry, methods and applications
Main Authors Livramento, Leandro Roza, Radu, Eugen, Shnir, Yakov
Format Journal Article
LanguageEnglish
Published 14.06.2023
Online AccessGet full text
ISSN1815-0659
1815-0659
DOI10.3842/SIGMA.2023.042

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Summary: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.
ISSN:1815-0659
1815-0659
DOI:10.3842/SIGMA.2023.042