Rotational symmetry breaking in baby Skyrme models

Abstract

We consider multisolitons with charges 1 =< B =< 5 in the baby Skyrme model for the one-parametric family of potentials U=μ^2 (1-ϕ_3)^s with 0<s =< 4. This class of potentials is a generalization of the `old' (s=1) and `holomorphic' (s=4) baby Skyrme models. We find that for charge one, stable solutions exist for every value of s and they are rotationally-symmetric. For higher charges, stable solutions exist only below s \approx 2. In the charge-two sector the stable solutions are always rotationally-symmetric and ring-like. For charge three and above, rotational symmetry is exhibited only in the small s region; above a certain critical value of s, this symmetry is broken and a strong repulsion between the constituent one-Skyrmions becomes apparent. We also compute the spatial energy distributions of these solutions.

LaTeX, 14 pages, 8 figures

References in corpus (3)

• Densities, Parton Distributions, and Measuring the Non-Spherical Shape of the Nucleon
• Hexagonal Structure of Baby Skyrmion Lattices
• Spontaneous Breaking of Rotational Symmetry in Rotating Solitons - a Toy Model of Excited Nucleons with High Angular Momentum

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• Fractional Hopfions in the Faddeev-Skyrme model with a symmetry breaking potential
• Spontaneous symmetry breaking in dual-core baby-Skyrmion systems
• Boundary charges and integral identities for solitons in $(d+1)$-dimensional field theories
• Baby skyrmion crystals stabilized by vector mesons