Sphalerons in the Skyrme model

Krusch, Steffen and Sutcliffe, Paul M. (2004) Sphalerons in the Skyrme model. Journal of Physics A: Mathematical and General, 37 (38). pp. 9037-9050. ISSN 0305-4470. (doi:10.1088/0305-4470/37/38/008) (Full text available)

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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 anti-Skyrmion (with n > 1), 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 > 4, the positions of the Skyrmion and anti-Skyrmion merge to form a circle, rather than isolated points, and there are some features in common with Hopf solitons of the Skyrme-Faddeev model.

Item Type: Article
Subjects: Q Science > QA Mathematics (inc Computing science)
Divisions: Faculties > Sciences > School of Mathematics Statistics and Actuarial Science > Applied Mathematics
Depositing User: Judith Broom
Date Deposited: 09 Sep 2008 15:37 UTC
Last Modified: 29 Apr 2014 14:17 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/7984 (The current URI for this page, for reference purposes)
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