paper

Scattering of topological solitons on holes and barriers

arXiv:hep-th/0508032 · doi:10.1088/0305-4470/38/48/011

Abstract

We study the scattering properties of topological solitons on obstructions in the form of holes and barriers. We use the 'new baby Skyrme' model in (2+1) dimensions and we model the obstructions by making the coefficient of the baby skyrme model potential - position dependent. We find that that the barrier leads to the repulsion of the solitons (for low velocities) or their complete transmission (at higher velocities) with the process being essentially elastic. The hole case is different; for small velocities the solitons are trapped while at higher velocities they are transmitted with a loss of energy. We present some comments explaining the observed behaviour.

arXiv comment11 pages, corrected value of the critical velocity, to appear in J. Phys. A: Mathematical and General

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