Classically isospinning Skyrmion solutions

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 approach 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 modeling nuclei by quantized Skyrmion solutions.

51 pages, 33 figures; updated to match published version in Phys. Rev. D

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• Neutron stars in the BPS Skyrme model: mean-field limit vs. full field theory
• Skyrme models and nuclear matter equation of state
• Loosening up the Skyrme model
• Hairy black holes in the general Skyrme model
• Scattering of Nucleons in the Classical Skyrme Model
• Gravitating solitons and black holes with synchronised hair in the four dimensional O(3) sigma-model
• Scattering of Skyrmions
• Baryon chemical potential and in-medium properties of BPS skyrmions
• Skyrme-like models and supersymmetry in 3+1 dimensions
• Electromagnetic Transition Strengths for Light Nuclei in the Skyrme model
• Baby Skyrme models without a potential term
• Neutron stars within the Skyrme model
• Supersymmetric galileons and auxiliary fields in 2+1 dimensions
• Bogomolny equation for the BPS Skyrme model from the strong necessary conditions
• Spinning gravitating Skyrmions in generalized Einstein-Skyrme model
• A consistent two-skyrmion configuration space from instantons
• Solitons in the Gauged Skyrme-Maxwell Model
• False vacuum Skyrmions revisited
• Holographic coordinates
• Isospinning Skyrmions