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arXiv · 2102.12134

Near-BPS baby Skyrmions with Gaussian tails

Sven Bjarke Gudnason·Marco Barsanti·Stefano Bolognesi
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Abstract

We consider the baby Skyrme model in a physically motivated limit of reaching the restricted or BPS baby Skyrme model, which is a model that enjoys area-preserving diffeomorphism invariance. The perturbation consists of the kinetic Dirichlet term with a small coefficient $ε$ as well as the standard pion mass term, with coefficient $εm_1^2$. The pions remain lighter than the soliton for any $ε$ and therefore the model is physically acceptable, even in the $ε\to 0$ limit. The version of the BPS baby Skyrme model we use has BPS solutions with Gaussian tails. We perform full numerical computations in the $ε\to 0$ limit and even reach the strict $ε=0$ case, finding new nontrivial BPS solutions, for which we do not yet know the analytic form.

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Sven Bjarke Gudnason, Marco Barsanti, Stefano Bolognesi. 2021-05-13. Near-BPS baby Skyrmions with Gaussian tails. https://doi.org/10.1007/jhep05(2021)134

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