Operator analysis of effective spin-flavor interactions for L=1 excited baryons

We match the nonrelativistic quark model, with both flavor-dependent and flavor-independent effective quark-quark interactions, to the spin-flavor operator basis of the 1/Nc expansion for the L=1 nonstrange baryons. We obtain analytic expressions for the coefficients of the 1/Nc operators in terms o...

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Publicado: 2016
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_24700010_v93_n3_p_Willemyns
http://hdl.handle.net/20.500.12110/paper_24700010_v93_n3_p_Willemyns
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_24700010_v93_n3_p_Willemyns
record_format dspace
spelling paper:paper_24700010_v93_n3_p_Willemyns2023-06-08T16:36:22Z Operator analysis of effective spin-flavor interactions for L=1 excited baryons We match the nonrelativistic quark model, with both flavor-dependent and flavor-independent effective quark-quark interactions, to the spin-flavor operator basis of the 1/Nc expansion for the L=1 nonstrange baryons. We obtain analytic expressions for the coefficients of the 1/Nc operators in terms of radial integrals that depend on the shape and relative strength of the spin-spin, spin-orbit and tensor interactions of the model, which are left unspecified. We obtain several new, parameter-free relations between the seven masses and the two mixing angles that can discriminate between different spin-flavor structures of the effective quark-quark interaction. We discuss in detail how a general parametrization of the mass matrix depends on the mixing angles and is constrained by the assumptions on the effective quark-quark interaction. We find that, within the present experimental uncertainties, consistency with the best values of the mixing angles as determined by a recent global fit to masses and decays does not exclude any of the two most extreme possibilities of flavor-dependent (-independent) quark-quark interactions, as generated by meson (gluon) exchange interactions. © 2016 American Physical Society. 2016 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_24700010_v93_n3_p_Willemyns http://hdl.handle.net/20.500.12110/paper_24700010_v93_n3_p_Willemyns
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description We match the nonrelativistic quark model, with both flavor-dependent and flavor-independent effective quark-quark interactions, to the spin-flavor operator basis of the 1/Nc expansion for the L=1 nonstrange baryons. We obtain analytic expressions for the coefficients of the 1/Nc operators in terms of radial integrals that depend on the shape and relative strength of the spin-spin, spin-orbit and tensor interactions of the model, which are left unspecified. We obtain several new, parameter-free relations between the seven masses and the two mixing angles that can discriminate between different spin-flavor structures of the effective quark-quark interaction. We discuss in detail how a general parametrization of the mass matrix depends on the mixing angles and is constrained by the assumptions on the effective quark-quark interaction. We find that, within the present experimental uncertainties, consistency with the best values of the mixing angles as determined by a recent global fit to masses and decays does not exclude any of the two most extreme possibilities of flavor-dependent (-independent) quark-quark interactions, as generated by meson (gluon) exchange interactions. © 2016 American Physical Society.
title Operator analysis of effective spin-flavor interactions for L=1 excited baryons
spellingShingle Operator analysis of effective spin-flavor interactions for L=1 excited baryons
title_short Operator analysis of effective spin-flavor interactions for L=1 excited baryons
title_full Operator analysis of effective spin-flavor interactions for L=1 excited baryons
title_fullStr Operator analysis of effective spin-flavor interactions for L=1 excited baryons
title_full_unstemmed Operator analysis of effective spin-flavor interactions for L=1 excited baryons
title_sort operator analysis of effective spin-flavor interactions for l=1 excited baryons
publishDate 2016
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_24700010_v93_n3_p_Willemyns
http://hdl.handle.net/20.500.12110/paper_24700010_v93_n3_p_Willemyns
_version_ 1768545624097030144

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