Fractional Skyrmions and their molecules

Abstract

We study a Skyrme-type model with a quadratic potential for a field with $S^2$ vacua. We consider two flavors of the model, the first is the Skyrme model and the second has a sixth-order derivative term instead of the Skyrme term; both with the added quadratic potential. The model contains molecules of half Skyrmions, each of them is a global (anti-)monopole with baryon number 1/2. We numerically construct solutions with baryon numbers one through six, and find stable solutions which look like beads on rings. We also construct a molecule with fractional Skyrmions having the baryon numbers 1/3 + 2/3, by adding a linear potential term.

RevTeX: 36 pages, 20 figures; V2: comments and Fig. 7 added

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Cited by in corpus (6)

• Fractional instantons and bions in the O(N) model with twisted boundary conditions
• Relations among topological solitons
• Baryon chemical potential and in-medium properties of BPS skyrmions
• Skyrmions confined as beads on a vortex ring
• Stabilizing semilocal strings by polarization
• Probing the Source of Proton Mass by"Unbreaking" Scale-Chiral Symmetry