Solving Skyrmions

Abstract

We find exact solutions for Skyrmions for the Skyrme-like models. Constructing first the recursion formulae at small and large distance behavior, we proceed by implementing these constraints to a chosen parametrization of the solutions. The procedure is applied to the spherically symmetric hedgehog solution and to topological number N > 1 solutions based on rational maps.

16 pages (LATEX), jhep.cls, no figure