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Sphalerons in the Skyrme model

Krusch, Steffen, 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) (KAR id:7984)


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
DOI/Identification number: 10.1088/0305-4470/37/38/008
Subjects: Q Science > QA Mathematics (inc Computing science)
Divisions: Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science
Depositing User: Judith Broom
Date Deposited: 09 Sep 2008 15:37 UTC
Last Modified: 16 Nov 2021 09:45 UTC
Resource URI: (The current URI for this page, for reference purposes)

University of Kent Author Information

Krusch, Steffen.

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Sutcliffe, Paul M..

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