Skyrmions up to Baryon Number 108
High Energy Physics - Theory
2013-05-01 v1 Nuclear Theory
Abstract
The Skyrme crystal is built up of repeating units similar to the cubic Skyrmion of baryon number 4. Using this as guide, we construct new Skyrmion solutions in the massive pion case, with various baryon numbers up to 108. Most of our solutions resemble chunks of the Skyrme crystal. They are constructed using a multi-layer version of the rational map ansatz to create initial configurations, which are then relaxed numerically to find the energy minima. The coefficients of the rational maps are found by a geometrical construction related to the Skyrme crystal structure. We find some further solutions by numerical relaxation of clusters composed of baryon number 4 Skyrmions.
Cite
@article{arxiv.1210.1712,
title = {Skyrmions up to Baryon Number 108},
author = {D. T. J. Feist and P. H. C. Lau and N. S. Manton},
journal= {arXiv preprint arXiv:1210.1712},
year = {2013}
}
Comments
26 pages, 16 figures, 1 table