We study a Skyrme-type model with a quadratic potential for a field with S2 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.
|Physical Review D - Particles, Fields, Gravitation and Cosmology
|Published - 2015 4月 27
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