The dynamics of aloof baby Skyrmions

Abstract

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.

Head butting sheep: kink collisions in the presence of false vacua

“…In the appendix, we discuss a pointparticle approximation which can be used to mimic some of the features of the complicated scattering dynamics in this model. Note that a point particle approximation very much similar to ours has been previously discussed in Salmi and Sutcliffe's work [64] on skyrmion solutions in the lightly bound baby Skyrme model. Their motivation for studying the dynamics of baby Skyrmions [65][66][67] is that it is a toy model for Skyrmions [68,69], a soliton model for nuclear physics.…”

Loosening up the Skyrme model

“…Exactly this type of potential was studied long ago in the baby Skyrme model [18], see also Refs. [19][20][21][22].…”

Multi-skyrmion states in the Skyrme model with a false vacuum potential*

“…The initial values of the multi-skyrmion solutions are constructed using the product ansatz [37,38]. Explicitly, the initial value of the baryon number state is constructed using the solutions of the two statesclusters-which are far away from each other.…”

“…two clusters by adding a pseudo-time component to the static configuration, a method known as the relaxation method [37,38]. Here, we use a simpler method to reduce the distance by squeezing the original configuration.…”