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arXiv · hep-th/9610113

Multi-soliton dynamics in the Skyrme model

Richard Battye·Paul Sutcliffe
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Abstract

We exhibit the dynamical scattering of multi-solitons in the Skyrme model for configurations with charge two, three and four. First, we construct maximally attractive configurations from a simple profile function and the product ansatz. Then using a sophisticated numerical algorithm, initially well-separated skyrmions in approximately symmetric configurations are shown to scatter through the known minimum energy configurations. These scattering events illustrate a number of similarities to BPS monopole configurations of the same charge. A simple modification of the dynamics to a dissipative regime, allows us to compute the minimal energy skyrmions for baryon numbers one to four to within a few percent.

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Richard Battye, Paul Sutcliffe. 1996-10-16. Multi-soliton dynamics in the Skyrme model. https://doi.org/10.1016/s0370-2693(96)01441-4

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