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adkins-nappi model

Proceedings of the Edinburgh Mathematical Society (1)

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On the existence of baby skyrmions stabilized by vector mesons
Part of
- Variational problems in infinite-dimensional spaces
- Applications to specific physical systems
Carlo Greco
Journal:

Proceedings of the Edinburgh Mathematical Society / Volume 66 / Issue 1 / February 2023

Published online by Cambridge University Press:

30 March 2023, pp. 100-116
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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.