2000/08/14 by N. S. Manton, Manton, N. S., Bernard Piette +2
Computer Science · Physics and Astronomy · #Constraint Satisfaction and Optimization #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/0008110
11 pages, 2 figures. To appear in the proceedings of the 3rd European Congress of Mathematics, Barcelona 2000 (Birkhouser)
openalex publication_date 2000/08/14 · arxiv created 2001/05/24 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 ten. We show how the method can be generalised by using two or more rational maps to give a double-shell or multi-shell structure. Particularly interesting examples occur at baryon numbers twelve and fourteen.