Scattering of Skyrmions

Krusch, Steffen, Foster, David J (2014) Scattering of Skyrmions. Nuclear Physics B, 897 . pp. 697-716. ISSN 0550-3213. E-ISSN 1873-1562. (doi:10.1016/j.nuclphysb.2015.06.011)

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Official URL
http://arxiv.org/abs/1412.8719

Abstract

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.

Item Type: Article 10.1016/j.nuclphysb.2015.06.011 [159] Skyrmion-Skyrmion Scattering and Nuclear Physics Official URL Skyrmions, Scattering, moduli space approximation, numerical simulation Q Science > QA Mathematics (inc Computing science) > QA297 Numerical analysisQ Science > QA Mathematics (inc Computing science) > QA377 Partial differential equationsQ Science > QC Physics > QC174.12 Quantum theory > QC174.26.W28 Topological solitonsQ Science > QC Physics > QC20 Mathematical Physics Faculties > Sciences > School of Mathematics Statistics and Actuarial ScienceFaculties > Sciences > School of Mathematics Statistics and Actuarial Science > Applied Mathematics Steffen Krusch 31 Dec 2014 17:25 UTC 29 May 2019 14:00 UTC https://kar.kent.ac.uk/id/eprint/46408 (The current URI for this page, for reference purposes)