S^3 Skyrmions and the Rational Map Ansatz

Details S^3 Skyrmions and the Rational Map Ansatz S^3 Skyrmions and the Rational Map Ansatz

2000-06-19

arxiv.org/abs/hep-th/0006147v2

Nonlinearity 13:2163,2000

Physics

High Energy Physics

High Energy Physics - Theory

27 pages, 14 figures, minor corrections, references updated

Scientific paper

10.1088/0951-7715/13/6/315

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.

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