Non-Spectator Diquark Effects on Lifetimes of Λ_b, Ω_{b}^{(*)} and Weak Decay Rates of Σ_{b}^{(*)}, Ξ_{b}^{(*)}

Abstract

The difference of τ_{_B} and τ_{_{Λ_b}} indicates the role of the light flavors. We calculate the lifetimes of B-meson and Λ_b based on the weak effective Hamiltonian while assuming the heavy baryon is constructed by a heavy b-quark and a diquark containing two light quarks. In this scenario, we use the information of the measured ratio τ_{_{Λ_b}}/τ_{_B} as input to predict rates of the inclusive weak decays of Σ_{b}^{(*)} and Ξ_{b}^{(*)} into non-bottom final states. We find that these rates of Σ_{b}^{(*)} and Ξ_{b}^{(*)} are much larger than that of B-mesons and Λ_b. We also give the predictions for the lifetimes of Ω_b and Ω_{b}^{*}. Phenomenological implication of our result is discussed.