Planar Skyrmions: Vibrational Modes and Dynamics

Details Planar Skyrmions: Vibrational Modes and Dynamics Planar Skyrmions: Vibrational Modes and Dynamics

2004-02-26

arxiv.org/abs/hep-th/0402210v1

Physica D201 (2005) 45-55

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, 7 figures, 1 table

Scientific paper

10.1016/j.physd.2004.12.001

We study Skyrmion dynamics in a (2+1)-dimensional Skyrme model. The system contains a dimensionless parameter alpha, with alpha=0 corresponding to the O(3) sigma-model. If two Skyrmions collide head-on, then they can either coalesce or scatter -- this depends on alpha and on the incident speed v, and is affected by transfer of energy to and from the internal vibrational modes of the Skyrmions. We classify these internal modes and compute their spectrum, for a range of values of alpha. In particular, we find that there is a fractal-like structure of scattering windows, analogous to those seen for kink-antikink scattering in 1+1 dimensions.

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