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A point particle model of lightly bound skyrmions
journal contribution
posted on 2017-03-30, 08:25 authored by Mike Gillard, Derek Harland, Elliot Kirk, Ben Maybee, Martin SpeightA 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≤8obtained 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 Bsubsets 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.
Funding
This research was funded by SCOAP³ - Sponsoring Consortium for Open Access Publishing in Particle Physics
History
School
- Mechanical, Electrical and Manufacturing Engineering
Published in
Nuclear Physics BCitation
GILLARD, M. ...et al., 2017. A point particle model of lightly bound skyrmions. Nuclear Physics B, 917, pp. 286–316.Publisher
© The Authors. Published by Elsevier LtdVersion
- VoR (Version of Record)
Publisher statement
This work is made available according to the conditions of the Creative Commons Attribution 4.0 International (CC BY 4.0) licence. Full details of this licence are available at: http://creativecommons.org/licenses/ by/4.0/Acceptance date
2017-01-31Publication date
2017Notes
This is an Open Access Article. It is published by Elsevier under the Creative Commons Attribution 4.0 Unported Licence (CC BY). Full details of this licence are available at: http://creativecommons.org/licenses/by/4.0/ISSN
0550-3213Publisher version
Language
- en