Abstract
The aloof baby Skyrme model is a (2+1)-dimensional theory with solitons that are lightly bound. It is a low-dimensional analogue of a similar Skyrme model in (3+1)-dimensions, where the lightly bound solitons have binding energies comparable to nuclei. A previous study of static solitons in the aloof baby Skyrme model revealed that multi-soliton bound states have a cluster structure, with constituents that preserve their individual identities due to the short-range repulsion and long-range attraction between solitons. Furthermore, there are many different local energy minima that are all well-described by a simple binary species particle model. In this paper we present the first results on soliton dynamics in the aloof baby Skyrme model. Numerical field theory simulations reveal that the lightly bound cluster structure results in a variety of exotic soliton scattering events that are novel in comparison to standard Skyrmion scattering. A dynamical version of the binary species point particle model is shown to provide a good qualitative description of the dynamics.
Highlights
JHEP01(2016)145 type of dynamical phenomena that appear in lightly bound Skyrme models
In this paper we present the first results on soliton dynamics in the aloof baby Skyrme model
In addition to performing numerical simulations of the full nonlinear field theory, we introduce a dynamical version of the binary species point particle model and demonstrate that it provides a reasonable approximate description of the dynamics
Summary
The aloof baby Skyrme model, introduced in [5], is defined by the Lagrangian density. In our earlier work [5] the interaction energy was computed numerically for χ = 0 (the repulsive channel) and χ = π (the attractive channel) and the data used to fit a Pade approximant of order [3/4] in each case These Pade approximants are plotted in the left image, and we refer the reader to [5] for the associated explicit constants in the two Pade approximants. All constituent solitons are exactly out of phase with all nearest neighbours, so that all these pairs of interactions are in the attractive channel This property extends to all the minimal energy solitons, and to the large number of local energy minima that exist in this theory and have energies that are only slightly above the minimal energy values. We discuss the dynamics of two single solitons and describe a dynamical extension of the binary species point particle model
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