Gillard, M, Harland, D orcid.org/0000-0002-4110-9673, Kirk, E et al. (2 more authors) (2017) A point particle model of lightly bound skyrmions. Nuclear Physics B, 917. pp. 286-316. ISSN 0550-3213
Abstract
A simple model of the dynamics of lightly bound skyrmions is developed in which skyrmions are replaced by point particles, each carrying an internal orientation. The model accounts well for the static energy minimizers of baryon number 1≤B≤8 obtained by numerical simulation of the full field theory. For 9≤B≤23, a large number of static solutions of the point particle model are found, all closely resembling size B subsets of a face centred cubic lattice, with the particle orientations dictated by a simple colouring rule. Rigid body quantization of these solutions is performed, and the spin and isospin of the corresponding ground states extracted. As part of the quantization scheme, an algorithm to compute the symmetry group of an oriented point cloud, and to determine its corresponding Finkelstein-Rubinstein constraints, is devised.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Editors: |
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Copyright, Publisher and Additional Information: | © 2017 The Author(s). Published by Elsevier B.V. This is an open access article under the terms of the Creative Commons Attribution License (CC-BY). |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Pure Mathematics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 07 Feb 2017 14:43 |
Last Modified: | 05 Oct 2017 16:34 |
Published Version: | https://doi.org/10.1016/j.nuclphysb.2017.01.027 |
Status: | Published |
Publisher: | Elsevier |
Identification Number: | 10.1016/j.nuclphysb.2017.01.027 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:111940 |