Abstract
In this work, we study weak transitions of to light baryons and in the Bethe-Salpeter equation approach. In the heavy quark limit, based on the picture that is composed of a heavy -quark and a light diquark, the Bethe-Salpeter equation for was established in previous works. Although the light baryon is composed of various quark-diquark configurations based on the spin-flavor wave functions, only the configuration [] [ is a scalar diquark composed of and quarks] contributes to () transition. We establish the Bethe-Salpeter equations for the systems and and calculate their Bethe-Salpeter wave functions in the covariant instantaneous approximation with the kernel containing both scalar confinement and one-gluon-exchange terms. Then, the form factors for and weak transitions are obtained with Bethe-Salpeter wave functions for , , and . Consequently, we calculate the branching ratios of , , , and ( and denote pseudoscalar and vector mesons, respectively) in the factorization approach.
2 More- Received 25 August 2014
DOI:https://doi.org/10.1103/PhysRevD.91.016006
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