TY - JOUR
T1 - Quantization of exotic states in SU(3) soliton models
T2 - A solvable quantum mechanical analog
AU - Cherman, Aleksey
AU - Cohen, Thomas D.
AU - Nellore, Abhinav
N1 - 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.
PY - 2004
Y1 - 2004
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=19944433364&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=19944433364&partnerID=8YFLogxK
U2 - 10.1103/PhysRevD.70.096003
DO - 10.1103/PhysRevD.70.096003
M3 - Article
AN - SCOPUS:19944433364
SN - 1550-7998
VL - 70
JO - Physical Review D - Particles, Fields, Gravitation and Cosmology
JF - Physical Review D - Particles, Fields, Gravitation and Cosmology
IS - 9
ER -