Abstract:
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.
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Citas:
---------- APA ----------
Willemyns, C. & Schat, C.
(2016)
. Operator analysis of effective spin-flavor interactions for L=1 excited baryons. Physical Review D, 93(3).
http://dx.doi.org/10.1103/PhysRevD.93.034007---------- CHICAGO ----------
Willemyns, C., Schat, C.
"Operator analysis of effective spin-flavor interactions for L=1 excited baryons"
. Physical Review D 93, no. 3
(2016).
http://dx.doi.org/10.1103/PhysRevD.93.034007---------- MLA ----------
Willemyns, C., Schat, C.
"Operator analysis of effective spin-flavor interactions for L=1 excited baryons"
. Physical Review D, vol. 93, no. 3, 2016.
http://dx.doi.org/10.1103/PhysRevD.93.034007---------- VANCOUVER ----------
Willemyns, C., Schat, C. Operator analysis of effective spin-flavor interactions for L=1 excited baryons. Phy. Rev. D. 2016;93(3).
http://dx.doi.org/10.1103/PhysRevD.93.034007