Study of two body hadronic decays ΛbΛ(p)P(V) in the instantaneous approximation of the Bethe-Salpeter equation approach

Y. Liu, X.-H. Guo, and C. Wang
Phys. Rev. D 91, 016006 – Published 21 January 2015

Abstract

In this work, we study weak transitions of Λb to light baryons Λ and p in the Bethe-Salpeter equation approach. In the heavy quark limit, based on the picture that Λb is composed of a heavy b-quark and a light diquark, the Bethe-Salpeter equation for Λb was established in previous works. Although the light baryon Λ(p) is composed of various quark-diquark configurations based on the SU(6) spin-flavor wave functions, only the configuration s(ud)0,0 [u(ud)0,0] [(ud)0,0 is a scalar diquark composed of u and d quarks] contributes to ΛbΛ (Λbp) transition. We establish the Bethe-Salpeter equations for the systems s(ud)0,0 and u(ud)0,0 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 ΛbΛ and Λbp weak transitions are obtained with Bethe-Salpeter wave functions for Λb, Λ, and p. Consequently, we calculate the branching ratios of ΛbΛP, ΛbΛV, ΛpP, and ΛbpV (P and V denote pseudoscalar and vector mesons, respectively) in the factorization approach.

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  • Received 25 August 2014

DOI:https://doi.org/10.1103/PhysRevD.91.016006

© 2015 American Physical Society

Authors & Affiliations

Y. Liu*, X.-H. Guo, and C. Wang

  • College of Nuclear Science and Technology, Beijing Normal University, Beijing 100875, People’s Republic of China

  • *yingliubnu@gmail.com
  • Corresponding author. xhguo@bnu.edu.cn
  • chaowang07@lzu.edu.cn

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Vol. 91, Iss. 1 — 1 January 2015

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