# Classically Isospinning Skyrmion Solutions

Battye, Richard A., Haberichter, Mareike, Krusch, Steffen (2014) Classically Isospinning Skyrmion Solutions. Physical Review D: Particles, Fields, Gravitation, and Cosmology, 90 (12). pp. 125035-125069. ISSN 0556-2821. E-ISSN 1550-2368. (doi:10.1103/PhysRevD.90.125035) (KAR id:43043)

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## Abstract

We investigate how isospin affects the geometrical shape and energy of classical soliton solutions of topological charges $B=1-4,8$ in the Skyrme model. The novel appoach in our work is that we study classically isospinning Skyrmions beyond the rigid body approximation, that is, we explicitly allow the soliton solutions to deform and to break the symmetries of the static configurations. Our fully three-dimensional relaxation calculations reveal that the symmetries of isospinning Skyrme solitons can differ significantly from the ones of the static configurations. In particular, isospinning Skyrmion solutions can break up into lower charge Skyrmions, can deform into new solution types that do not exist at vanishing angular frequency $\omega$ or energy degeneracy can be removed. These types of deformations have been largely ignored in previous work on modelling nuclei by quantized Skyrmion solutions.

Item Type: Article 10.1103/PhysRevD.90.125035 [159] Skyrmion-Skyrmion Scattering and Nuclear Physics Official URL Q Science > QC PhysicsQ Science > QC Physics > QC20 Mathematical Physics Faculties > Sciences > School of Mathematics Statistics and Actuarial ScienceFaculties > Sciences > School of Mathematics Statistics and Actuarial Science > Applied Mathematics Mareike Haberichter 23 Sep 2014 09:50 UTC 06 May 2020 03:10 UTC https://kar.kent.ac.uk/id/eprint/43043 (The current URI for this page, for reference purposes) https://orcid.org/0000-0003-3126-8635