Skyrmion solutions by generalization of the Atiyah-Manton ansatz

Abstract

We generalize the approach of Atiyah and Manton for generating Skyrmion configurations from instantons. The result is a series which parameters are found directly from the chiral angle equation. The series converge rapidly to the exact solution for a class of the Skyrme-like models (including the Skyrme model itself) but describe with less accuracy other types of models. We describe the procedure and discuss its advantages and limitations.

Comments: 12 pages, revtex v3, EP-CPTh.A280.0194 and LAVAL-PHY-12-93