Abstract:
We show how to match the Isgur-Karl model to the spin-flavor quark operator expansion used in the 1/Nc studies of the nonstrange negative parity L=1 excited baryons. Using the transformation properties of states and interactions under the permutation group S3 we are able to express the operator coefficients as overlap integrals, without making any assumption on the spatial dependence of the quark wave functions. The general mass operator leads to parameter free mass relations and constraints on the mixing angles that are valid beyond the usual harmonic oscillator approximation. The Isgur-Karl model with harmonic oscillator wave functions provides a simple counterexample that demonstrates explicitly that the alternative operator basis for the 1/Nc expansion for excited baryons recently proposed by Matagne and Stancu is incomplete. © 2009 The American Physical Society.
Registro:
Documento: |
Artículo
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Título: | Isgur-Karl model revisited |
Autor: | Galeta, L.; Pirjol, D.; Schat, C. |
Filiación: | Departamento de Física, FCEyN, Ciudad Universitaria, Pab.1, 1428 Buenos Aires, Argentina National Institute for Physics and Nuclear Engineering, Department of Particle Physics, 077125 Bucharest, Romania Department of Physics and Astronomy, Ohio University, Athens, OH 45701, United States
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Año: | 2009
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Volumen: | 80
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Número: | 11
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DOI: |
http://dx.doi.org/10.1103/PhysRevD.80.116004 |
Título revista: | Physical Review D - Particles, Fields, Gravitation and Cosmology
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Título revista abreviado: | Phys Rev D Part Fields Gravit Cosmol
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ISSN: | 15507998
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CODEN: | PRVDA
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15507998_v80_n11_p_Galeta |
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Citas:
---------- APA ----------
Galeta, L., Pirjol, D. & Schat, C.
(2009)
. Isgur-Karl model revisited. Physical Review D - Particles, Fields, Gravitation and Cosmology, 80(11).
http://dx.doi.org/10.1103/PhysRevD.80.116004---------- CHICAGO ----------
Galeta, L., Pirjol, D., Schat, C.
"Isgur-Karl model revisited"
. Physical Review D - Particles, Fields, Gravitation and Cosmology 80, no. 11
(2009).
http://dx.doi.org/10.1103/PhysRevD.80.116004---------- MLA ----------
Galeta, L., Pirjol, D., Schat, C.
"Isgur-Karl model revisited"
. Physical Review D - Particles, Fields, Gravitation and Cosmology, vol. 80, no. 11, 2009.
http://dx.doi.org/10.1103/PhysRevD.80.116004---------- VANCOUVER ----------
Galeta, L., Pirjol, D., Schat, C. Isgur-Karl model revisited. Phys Rev D Part Fields Gravit Cosmol. 2009;80(11).
http://dx.doi.org/10.1103/PhysRevD.80.116004