Calculation of 1/m²_b corrections to Λ_b→Λ_c decay widths in the Bethe-Salpeter equation approach

2016/08/16 by L. Zhang, Zhang, L., Xinyao Guo +3
Physics and Astronomy · Medicine · #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #Medical Imaging Techniques and Applications

paper · pdf · doi:10.48550/arxiv.1608.04470

Abstract

The matrix element of the weak transition Λ_b→Λ_c can be expressed in terms of six form factors. Λ_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 Λ_b→Λ_clv as well as nonleptonic decays Λ_b→Λ_cP(V) numerically. We also add QCD corrections since they are comparable with 1/m_Q corrections.

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