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A point particle model of lightly bound skyrmions

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journal contribution
posted on 30.03.2017 by Mike Gillard, Derek Harland, Elliot Kirk, Ben Maybee, Martin Speight
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≤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 B

Citation

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 Ltd

Version

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

31/01/2017

Publication date

2017

Notes

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

0550-3213

Language

en

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