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Semileptonic decays of $Λ_b$ baryons in the relativistic quark model

Semileptonic $Λ_b$ decays are investigated in the framework of the relativistic quark model based on the quasipotential approach and the quark-diquark picture of baryons. The decay form factors are expressed through the overlap integrals of the initial and final baryon wave functions. All calculations are done without employing nonrelativistic and heavy quark expansions. The momentum transfer dependence of the decay form factors is explicitly determined in the whole accessible kinematical range without any extrapolations or model assumptions. Both the heavy-to-heavy $Λ_b\toΛ_c\ellν_\ell$ and heavy-to-light $Λ_b\to p\ellν_\ell$ decay branching fractions are calculated. The results agree within error bars with the experimental value of the branching fraction of the $Λ_b\toΛ_c^+l^-\barν_l$ decay. From the recent LHCb data on the ratio of the branching fractions of the heavy-to-light and heavy-to-heavy semileptonic $Λ_b$ decays the ratio of the Cabbibo-Kobayashi-Maskawa matrix elements $|V_{ub}|/|V_{cb}|$ is obtained. It is consistent with the corresponding ratio determined from the inclusive $B$ meson decays.