S 3 Skyrmions and the Rational Map Ansatz
نویسنده
چکیده
This paper discusses multi-skyrmions on the 3-sphere S 3 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.
منابع مشابه
Understanding Skyrmions using Rational Maps
We discuss an ansatz for Skyrme fields in three dimensions which uses rational maps between Riemann spheres, and produces shell-like structures of polyhedral form. Houghton, Manton and Sutcliffe showed that a single rational map gives good approximations to the minimal energy Skyrmions up to baryon number of order 10. We show how the method can be generalized by using two or more rational maps ...
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