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

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 N_c 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.

arXiv comment8 pages; 3 figures; minor corrections; reference added

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Cited by in corpus (5)

• Estimate of the Theta+ width in the Relativistic Mean Field Approximation
• The collective quantization of three-flavored Skyrmions revisited
• Heavy baryons in the Skyrme model: the role of highly anharmonic collective motion
• Kaon-Soliton Bound State Approach to the Pentaquark States
• Heavy baryon decay widths in the large $N_c$ limit in chiral theory