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arXiv · hep-th/0407002

Sphalerons in the Skyrme model

Steffen Krusch·Paul Sutcliffe
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Abstract

Numerical methods are used to compute sphaleron solutions of the Skyrme model. These solutions have topological charge zero and are axially symmetric, consisting of an axial charge n Skyrmion and an axial charge -n antiSkyrmion (with n greater than one), balanced in unstable equilibrium. The energy is slightly less than twice the energy of the axially symmetric charge n Skyrmion. A similar configuration with n=1 does not produce a sphaleron solution, and this difference is explained by considering the interaction of asymptotic pion dipole fields. For sphaleron solutions with n greater than four the positions of the Skyrmion and antiSkyrmion merge to form a circle, rather than isolated points, and there are some features in common with Hopf solitons of the Skyrme-Faddeev model.

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Steffen Krusch, Paul Sutcliffe. 2004-07-01. Sphalerons in the Skyrme model. https://doi.org/10.1088/0305-4470%2F37%2F38%2F008

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