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The quantization of exotic states in SU(3) soliton models: A solvable quantum mechanical analog

Aleksey Cherman, Thomas D. Cohen, Abhinav Nellore

hep-pharXiv:hep-ph/0408209

Abstract

The distinction between the rigid rotor and Callan-Klebanov approaches to the quantization of SU(3) solitons is considered in the context of exotic baryons. A numerically tractable quantum mechanical analog system is introduced to test the reliability of the two quantization schemes. We find that in the equivalent of the large Nc limit of QCD, the Callan-Klebanov approach agrees with a numerical solution of the quantum mechanical analog. Rigid rotor quantization generally does not. The implications for exotic baryons are briefly discussed.

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