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Planar Skyrmions: vibrational modes and dynamics

Piette, B.; Ward, R.S.


R.S. Ward


W J Zakrzewski


We study Skyrmion dynamics in a (2+1)-dimensional Skyrme model. The system contains a dimensionless parameter α, with α=0 corresponding to the O(3) sigma-model. If two Skyrmions collide head-on, then they can either coalesce or scatter—this depends on α 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 α. 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.


Piette, B., & Ward, R. (2005). Planar Skyrmions: vibrational modes and dynamics. Physica D: Nonlinear Phenomena, 201(1-2), 45-55.

Journal Article Type Article
Publication Date 2005-02
Deposit Date May 1, 2007
Journal Physica D: Nonlinear Phenomena
Print ISSN 0167-2789
Publisher Elsevier
Peer Reviewed Peer Reviewed
Volume 201
Issue 1-2
Pages 45-55
Keywords Skyrmions, Solitons, Vibrations, Scattering.
Publisher URL