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arXiv · hep-th/0001017

The Interaction of Two Hopf Solitons

R. S. Ward
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Abstract

This Letter deals with topological solitons in an O(3) sigma model in three space dimensions (with a Skyrme term to stabilize their size). The solitons are classified topologically by their Hopf number N. The N=2 sector is studied; in particular, for two solitons far apart, there are three ``attractive channels''. Viewing the solitons as dipole pairs enables one to predict the force between them. Relaxing in the attractive channels leads to various static 2-soliton solutions.

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R. S. Ward. 2000-01-05. The Interaction of Two Hopf Solitons. https://doi.org/10.1016/s0370-2693(99)01503-8

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