Non-Spectator Diquark Effects on Lifetimes of \Lambda_b, \Omega_{b}^{(*)} and Weak Decay Rates of \Sigma_{b}^{(*)}, \Xi_{b}^{(*)}

Abstract

The difference of \tau_{_B} and \tau_{_{\Lambda_b}} indicates the role of the light flavors. We calculate the lifetimes of B-meson and \Lambda_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 \tau_{_{\Lambda_b}}/\tau_{_B} as input to predict rates of the inclusive weak decays of \Sigma_{b}^{(*)} and \Xi_{b}^{(*)} into non-bottom final states. We find that these rates of \Sigma_{b}^{(*)} and \Xi_{b}^{(*)} are much larger than that of B-mesons and \Lambda_b. We also give the predictions for the lifetimes of \Omega_b and \Omega_{b}^{*}. Phenomenological implication of our result is discussed.