The decay of Hopf solitons in the Skyrme model

David Foster

Research output: Contribution to journalArticle (Academic Journal)peer-review

4 Citations (Scopus)
283 Downloads (Pure)


It is understood that the Skyrme model has a topologically interesting baryonic excitation which can model nuclei. So far no stable knotted solutions, of the Skyrme model, have been found. Here we investigate the dynamics of Hopf solitons decaying to the vacuum solution in the Skyrme model. In doing this we develop a matrix-free numerical method to identify the minimum eigenvalue of the Hessian of the corresponding energy functional. We also show that as the Hopf solitons decay, they emit a cloud of isospinning radiation.
Original languageEnglish
Article number405401
Number of pages10
JournalJournal of Physics A: Mathematical and Theoretical
Issue number40
Publication statusPublished - 7 Sept 2017

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