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

Aleksey Cherman, Thomas D. Cohen, Abhinav Nellore

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9 Scopus citations

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 [Formula Presented] 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.

Original languageEnglish (US)
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume70
Issue number9
DOIs
StatePublished - 2004
Externally publishedYes

Bibliographical note

Funding Information:
The authors acknowledge constructive comments from I. Klebanov, D. Diakonov, D. Dakin, and P. V. Pobylitsa. This work was supported by the U.S. Department of Energy through Grant No. DE-FG02-93ER-40762. One of the authors (A. N.) acknowledges the support of the Senior Summer Scholar Program at the University of Maryland.

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