Skyrmion on a three--cylinder

Details Skyrmion on a three--cylinder Skyrmion on a three--cylinder

2007-12-10

arxiv.org/abs/0712.1510v2

Phys.Rev.D78:025019,2008

Physics

Mathematical Physics

v2: version accepted for publication in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.78.025019

The class of static, spherically symmetric, and finite energy hedgehog solutions in the SU(2) Skyrme model is examined on a metric three-cylinder. The exact analytic shape function of the 1-Skyrmion is found. It can be expressed via elliptic integrals. Its energy is calculated, and its stability with respect to radial and spherically symmetric deformations is analyzed. No other topologically nontrivial solutions belonging to this class are possible on the three-cylinder.

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