Scattering of Skyrmions

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.

25 pages, 16 figures, version accepted for publication

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• Skyrmions, instantons and holography
• Light Nuclei of Even Mass Number in the Skyrme Model
• Skyrmions with massive pions
• States of Carbon-12 in the Skyrme Model
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• Analytic Studies of Static and Transport Properties of (Gauged) Skyrmions
• Neutron stars within the Skyrme model
• The Skyrme model and chiral perturbation theory