Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 19 (2023), 042, 17 pages      arXiv:2301.12848      https://doi.org/10.3842/SIGMA.2023.042
Contribution to the Special Issue on Topological Solitons as Particles

Solitons in the Gauged Skyrme-Maxwell Model

Leandro Roza Livramento a, Eugen Radu b and Yakov Shnir ac
a) BLTP, JINR, Dubna 141980, Moscow Region, Russia
b) Department of Mathematics, University of Aveiro and CIDMA, Campus de Santiago, 3810-183 Aveiro, Portugal
c) Institute of Physics, Carl von Ossietzky University Oldenburg, 26111 Oldenburg, Germany

Received February 01, 2023, in final form June 03, 2023; Published online June 14, 2023

Abstract
We consider soliton solutions of the ${\rm U}(1)$ 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.

Key words: Skyrme-Maxwell model; gauged Skyrmions; topological solitons; Skyrmions.

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