# Isospinning baby Skyrmion solutions

Haberichter, Mareike, Battye, Richard A. (2013) Isospinning baby Skyrmion solutions. Physical Review D: Particles, Fields, Gravitation, and Cosmology, 88 (12). p. 125016. ISSN 0556-2821. (doi:10.1103/PhysRevD.88.125016) (KAR id:42821)

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## Abstract

We perform full two-dimensional (2D) numerical relaxations of isospinning soliton solutions in the baby Skyrme model in which the global $O(3)$ symmetry is broken by the 2D analogue of the pion mass term in the Skyrme model. In our calculations we explicitely allow the isospinning solitons to deform and to break the symmetries of the static configurations. We find that stable isospinning baby Skyrme solutions can be constructed numerically for all angular frequencies $\omega\le \text{min}(\mu,1)$, where $\mu$ is the mass parameter of the model. Stable, rotationally-symmetric baby Skyrmion solutions for higher angular velocities are simply an artefact of the hedgehog approximation. Isospinning multisoliton solutions of topological charge $B$ turn out to be unstable to break up into their $B$ charge-1 constituents at some critical breakup frequency value. Furthermore, we find that for $\mu$ sufficiently large the rotational symmetry of charge-2 baby Skyrmions becomes broken at a critical angular frequency $\omega$.

Item Type: Article 10.1103/PhysRevD.88.125016 [159] Skyrmion-Skyrmion Scattering and Nuclear Physics Official URL Q Science > QC Physics > QC20 Mathematical Physics Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science Mareike Haberichter 04 Sep 2014 14:38 UTC 16 Feb 2021 12:55 UTC https://kar.kent.ac.uk/id/eprint/42821 (The current URI for this page, for reference purposes)