Scattering of Skyrmions

David Foster, Steffen Krusch

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

20 Citations (Scopus)
277 Downloads (Pure)


In this paper, we present a detailed study of Skyrmion–Skyrmion scattering for two B = 1 Skyrmions in the attractive channel where we observe two different scattering regimes. For large separation, the scattering can be approximated as interacting dipoles. We give a qualitative estimate when this approximation breaks down. For small separations we observe an additional short-range repulsion which is qualitatively similar to monopole scattering. We also observe the interesting effect of “rotation without rotating” whereby two Skyrmions, whose orientations remain constant while well-separated, change their orientation after scattering. We can explain this effect by following preimages through the scattering process, thereby measuring which part of an in-coming Skyrmion forms part of an out-going Skyrmion. This leads to a new way of visualising Skyrmions. Furthermore, we consider spinning Skyrmions and find interesting trajectories.
Original languageEnglish
Pages (from-to)697-716
Number of pages20
JournalNuclear Physics B
Publication statusPublished - 17 Jun 2015

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