Interactions of Skyrmions with domain walls - art. no. 025016

We study classical solutions of a particular version of the modified Skyrme model in 3+1 dimensions. The model possesses Skyrmion solutions as well as stable domain walls that connect different vacua of the theory. We show th at there is an attractive interaction between Skyrmions and domain walls. T hus Skyrmions can be captured by the domain walls. We show also that, when the mass term is of a special type, the model possesses bound states of Sky rmions and of the domain wall. They look similar to deformed two-dimensiona l Skyrmions captured by the wall. The field configurations of these solutio ns can be interpreted as having come from the evolution of the three-dimens ional Skyrmions captured by the domain wall. For more conventional choices of the mass term in the model, the attraction between the Skyrmions and the wall, leads to the capture of the Skyrmions which are then turned into top ological waves which spread out on the wall. We have observed, numerically, such captures and the emission of the waves. We speculate that this observ ation may be useful in the explanation of the problem of baryogenesis and b aryon-antibaryon asymmetry of the Universe.