Calculation of 1/m^{2}_{b} corrections to {\Lambda}_b\rightarrow{\Lambda}_c decay widths in the Bethe-Salpeter equation approach

Abstract

The matrix element of the weak transition {\Lambda}_b\rightarrow{\Lambda}_c can be expressed in terms of six form factors. {\Lambda}_Q(Q = b;c) can be regarded as composed of a heavy quark Q(Q = b;c) and a diquark which is made up of the remaining two light quarks. In this picture, we express these six form factors in terms of Bethe-Salpeter wave functions to second order in the 1/m_Q expansion. With the kernel containing both the scalar confinement and the one-gluon-exchange terms we calculate the form factors and the decay widths of the semileptonic decay {\Lambda}_b\rightarrow{\Lambda}_clv as well as nonleptonic decays {\Lambda}_b\rightarrow{\Lambda}_cP(V) numerically. We also add QCD corrections since they are comparable with 1/m_Q corrections.