Understanding Skyrmions using Rational Maps
Abstract
We discuss an ansatz for Skyrme fields in three dimensions which uses rational maps between Riemann spheres, and produces shelllike structures of polyhedral form. Houghton, Manton and Sutcliffe showed that a single rational map gives good approximations to the minimal energy Skyrmions up to baryon number of order ten. We show how the method can be generalised by using two or more rational maps to give a doubleshell or multishell structure. Particularly interesting examples occur at baryon numbers twelve and fourteen.
 Publication:

arXiv eprints
 Pub Date:
 August 2000
 arXiv:
 arXiv:hepth/0008110
 Bibcode:
 2000hep.th....8110M
 Keywords:

 High Energy Physics  Theory
 EPrint:
 11 pages, 2 figures. To appear in the proceedings of the 3rd European Congress of Mathematics, Barcelona 2000 (Birkhouser)