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arXiv:nucl-th/0603058·v1·Nuclear Theory

Scalar-Meson - Baryon Coupling Constants in QCD Sum Rules

G. Erkol🇳🇱 · M. Oka🇳🇱 · Th. A. Rijken🇯🇵 · R. G. E. Timmermans🇳🇱

Abstract

The external-field QCD Sum Rules method is used to evaluate the coupling constants of the light-isoscalar scalar meson (``\sigma'' or \epsilon) to the \Lambda, \Sigma, and \Xi baryons. It is shown that these coupling constants as calculated from QCD Sum Rules are consistent with SU(3)-flavor relations, which leads to a determination of the F/(F+D) ratio of the scalar octet assuming ideal mixing: we find \alpha_s \equiv F/(F+D)=0.55. The coupling constants with SU(3) breaking effects are also discussed.

Comments: 15 pages, 8 figures, to be published in Phys. Rev. C

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