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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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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
DOI/Identification number: 10.1103/PhysRevD.90.125035
Projects: Skyrmion-Skyrmion Scattering and Nuclear Physics
Subjects: Q Science > QC Physics
Q Science > QC Physics > QC20 Mathematical Physics
Divisions: Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science
Funders: Science and Technology Facilities Council (
Engineering and Physical Sciences Research Council (
Government of the United Kingdom (
Depositing User: Mareike Haberichter
Date Deposited: 23 Sep 2014 09:50 UTC
Last Modified: 12 Jul 2022 10:40 UTC
Resource URI: (The current URI for this page, for reference purposes)

University of Kent Author Information

Haberichter, Mareike.

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Krusch, Steffen.

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