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The Quantum Skyrmion in Representations of General Dimension

A. Acus·E. Norvaišas·D. O. Riska
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Abstract

The representations of general dimension are constructed for the $SU(2)$ Skyrme model, treated quantum mechanically {\it ab initio. } This quantum Skyrme model has a negative mass term correction, that is not present in the classical Hamiltonian. The magnitude of the quantum mechanical mass correction increases with the dimension of the representation of the $SU(2)$ group. In the case of a 5-dimensional representation it is possible to obtain satisfactory predictions for the nucleon mass with the empirical value for the pion decay constant.

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A. Acus, E. Norvaišas, D. O. Riska. 1996-05-30. The Quantum Skyrmion in Representations of General Dimension. https://doi.org/10.1016/s0375-9474(96)00456-3

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