Sphalerons in the Skyrme model
Jun, 2004Citations per year
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.Note:
- 17 pages, 6 figures
- 11.10.Lm
- Skyrme model
- sphaleron
- energy: density
- Skyrmion: axial
- numerical calculations
References(29)
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