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07 February 2025
 
  » arxiv » 1609.0199

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Semileptonic decays of $Lambda_b$ baryons in the relativistic quark model
R. N. Faustov ; V. O. Galkin ;
Date 1 Sep 2016
AbstractSemileptonic $Lambda_b$ 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 $Lambda_b oLambda_cell u_ell$ and heavy-to-light $Lambda_b o pell u_ell$ decay branching fractions are calculated. The results agree within error bars with the experimental value of the branching fraction of the $Lambda_b oLambda_c^+l^-ar u_l$ decay. From the recent LHCb data on the ratio of the branching fractions of the heavy-to-light and heavy-to-heavy semileptonic $Lambda_b$ 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.
Source arXiv, 1609.0199
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