The Quantum Skyrmion in Representations of General Dimension

Details The Quantum Skyrmion in Representations of General Dimension The Quantum Skyrmion in Representations of General Dimension

1996-05-30

arxiv.org/abs/hep-ph/9605435v1

Nucl.Phys. A614 (1997) 361-372

Physics

High Energy Physics

High Energy Physics - Phenomenology

Plain latex, 15 pages

Scientific paper

10.1016/S0375-9474(96)00456-3

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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