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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)

PDF (24 pages, 15 figures, Published in Phys. Rev. D 88, 125016 (2013).) Publisher pdf
Language: English


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http://dx.doi.org/10.1103/PhysRevD.88.125016

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
DOI/Identification number: 10.1103/PhysRevD.88.125016
Projects: [159] Skyrmion-Skyrmion Scattering and Nuclear Physics Official URL
Subjects: Q Science > QC Physics > QC20 Mathematical Physics
Divisions: Faculties > Sciences > School of Mathematics Statistics and Actuarial Science
Depositing User: Mareike Haberichter
Date Deposited: 04 Sep 2014 14:38 UTC
Last Modified: 29 May 2019 13:03 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/42821 (The current URI for this page, for reference purposes)
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