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.
On the existence of baby skyrmions stabilized by vector mesons / Greco, Carlo. - In: PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY. - ISSN 0013-0915. - STAMPA. - 66:1(2023), pp. 100-116. [10.1017/S0013091523000056]
On the existence of baby skyrmions stabilized by vector mesons
Greco, Carlo
2023-01-01
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.File in questo prodotto:
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