Loosening up the Skyrme model

Abstract

We consider the Skyrme model with the addition of extra scalar potentials that decrease the classical binding energies of the Skyrmions to about the 3% level -- without altering the pion mass -- if we insist on keeping platonic symmetries that are usually possessed by Skyrmions. A side effect of the potentials under consideration is the smaller size of the 1-Skyrmion resulting in a smaller moment of inertia and in turn a larger spin contribution to the energy upon semi-classical quantization. After taking into account the quantum contributions we find total binding energies at the 6% level.

RevTeX: 35 pages, 16 figures; V2: references added and typos corrected

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• Solitons in the Gauged Skyrme-Maxwell Model
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• Nonlinear rigid-body quantization of Skyrmions
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