S^3 Skyrmions and the Rational Map Ansatz

Abstract

This paper discusses multi-skyrmions on the 3-sphere with variable radius L using the rational map ansatz. For baryon number B = 3,...,9 this ansatz produces the lowest energy solutions known so far. By considering the geometry of the model we find an approximate analytic formula for the shape function. This provides an insight why skyrmions have a shell-like structure.

27 pages, 14 figures, minor corrections, references updated

References in corpus (4)

• Rational Maps, Monopoles and Skyrmions
• Symmetric Skyrmions
• Stable Skyrmions in two-component Bose-Einstein condensates
• Zero mode quantization of multi-Skyrmions

Cited by in corpus (14)

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• Skyrmions on the Two-Sphere
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• The BPS sectors of the Skyrme model and their non-BPS extensions
• Negative Baryon density and the Folding structure of the B=3 Skyrmion
• Baby Skyrmions on the Two-Sphere
• Restricting profile function of hedgehog Skyrmion
• Fermions coupled to Skyrmions on S^3
• Review of Rotational Symmetry Breaking in Baby Skyrme Models
• Skyrmion on a three--cylinder
• Fermions, Skyrmions and the 3-Sphere
• Multi-Skyrmions on $Ad{S}_2\times S_2$, Rational maps and Popcorn Transitions
• Recent Developments in the Skyrme Model