Near-BPS baby Skyrmions
Sven Bjarke Gudnason, Marco Barsanti, Stefano Bolognesi

TL;DR
This paper analyzes near-BPS baby Skyrmions, showing that in the near-BPS regime, solutions are compactons of charge two with attractive interactions, and develops a perturbative scheme to compute their energies.
Contribution
The paper introduces a perturbative approach to analyze baby Skyrmions near the BPS limit, revealing that charge-two solutions are energetically favored and characterizing their interactions.
Findings
Charge-two baby Skyrmions are energetically preferred.
Solutions are compactons touching at a single point.
Perturbation theory captures binding energies at order .
Abstract
We consider the baby-Skyrme model in the regime close to the so-called restricted baby-Skyrme model, which is a BPS model with area-preserving diffeomorphism invariance. The perturbation takes the form of the standard kinetic Dirichlet term with a small coefficient . Classical solutions of this model, to leading order in , are called restricted harmonic maps. In the BPS limit () of the model with the potential being the standard pion-mass term, the solution with unit topological charge is a compacton. Using analytical and numerical arguments we obtain solutions to the problem for topological sectors greater than one. We develop a perturbative scheme in with which we can calculate the corrections to the BPS mass. The leading order () corrections show that the baby Skyrmion with topological charge two is energetically…
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