Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5494418 | Nuclear Physics B | 2017 | 31 Pages |
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 1â¤Bâ¤8 obtained by numerical simulation of the full field theory. For 9â¤Bâ¤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.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Mike Gillard, Derek Harland, Elliot Kirk, Ben Maybee, Martin Speight,