Multi-soliton dynamics in the Skyrme model

Details Multi-soliton dynamics in the Skyrme model Multi-soliton dynamics in the Skyrme model

1996-10-16

arxiv.org/abs/hep-th/9610113v1

Phys.Lett. B391 (1997) 150-156

Physics

High Energy Physics

High Energy Physics - Theory

latex, 10 pages, plus 5 figures (as gif files)

Scientific paper

10.1016/S0370-2693(96)01441-4

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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