Krusch, Steffen, Foster, David J (2014) Scattering of Skyrmions. Nuclear Physics B, 897 . pp. 697716. ISSN 05503213. EISSN 18731562. (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 SkyrmionSkyrmion 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 shortrange 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 wellseparated, change their orientation after scattering. We can explain this effect by following preimages through the scattering process, thereby measuring which part of an incoming Skyrmion forms part of an outgoing Skyrmion. This leads to a new way of visualising Skyrmions. Furthermore, we consider spinning Skyrmions and find interesting trajectories.
Item Type:  Article 

DOI/Identification number:  10.1016/j.nuclphysb.2015.06.011 
Projects:  [159] SkyrmionSkyrmion Scattering and Nuclear Physics Official URL 
Uncontrolled keywords:  Skyrmions, Scattering, moduli space approximation, numerical simulation 
Subjects: 
Q Science > QA Mathematics (inc Computing science) > QA297 Numerical analysis Q Science > QA Mathematics (inc Computing science) > QA377 Partial differential equations Q Science > QC Physics > QC174.12 Quantum theory > QC174.26.W28 Topological solitons Q Science > QC Physics > QC20 Mathematical Physics 
Divisions: 
Faculties > Sciences > School of Mathematics Statistics and Actuarial Science Faculties > Sciences > School of Mathematics Statistics and Actuarial Science > Applied Mathematics 
Depositing User:  Steffen Krusch 
Date Deposited:  31 Dec 2014 17:25 UTC 
Last Modified:  29 May 2019 14:00 UTC 
Resource URI:  https://kar.kent.ac.uk/id/eprint/46408 (The current URI for this page, for reference purposes) 
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