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On the existence of baby skyrmions stabilized by vector mesons

Part of: Applications to specific physical systems Variational problems in infinite-dimensional spaces

Published online by Cambridge University Press:  30 March 2023

Carlo Greco Open the ORCID record for Carlo Greco [Opens in a new window]
Carlo Greco*
Affiliation:
Department of Mechanics, Mathematics and Management, Polytechnic University of Bari, Bari 70125, Italy (carlo.greco@poliba.it)
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Abstract

In this paper, we prove the existence of topologically non-trivial solutions of the two-dimensional Adkins–Nappi model of nuclear physics; to this end, we minimize the energy functional by using the classical Skyrme ansatz, as well as a non-radially symmetric generalization of it. In both cases, we show that the minimization procedure preserves the topological degree of the minimization sequence.

Keywords

skyrmionvector mesonminimizationAdkins-Nappi modelSkyrme ansatz

MSC classification

Primary: 58E50: Applications
Secondary: 81V05: Strong interaction, including quantum chromodynamics
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 66 , Issue 1 , February 2023 , pp. 100 - 116
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Copyright
© The Author(s), 2023. Published by Cambridge University Press on Behalf of The Edinburgh Mathematical Society.

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