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Skyrmion solutions by generalization of the Atiyah-Manton ansatz

B. Dion·L. Marleau
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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.

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B. Dion, L. Marleau. 1994-03-02. Skyrmion solutions by generalization of the Atiyah-Manton ansatz. https://doi.org/10.1103/physrevd.49.5526

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