Abstract
Motivated by recent experimental progress in studying weak decays of the $\Lambda_c$ baryon we investigate its semileptonic decays in the framework of the relativistic quark model based on the quasipotential approach with the QCD-motivated potential. The form factors of the $\Lambda_c\to \Lambda l\nu_l$ and $\Lambda_c\to nl\nu_l$ decays are calculated in the whole accessible kinematical region without extrapolations and additional model assumptions. Relativistic effects are systematically taken into account including transformations of baryon wave functions from the rest to moving reference frame and contributions of the intermediate negative-energy states. Baryon wave functions found in the previous mass spectrum calculations are used for the numerical evaluation. Comprehensive predictions for decay rates, asymmetries and polarization parameters are given. They agree well with available experimental data.
Highlights
Significant experimental progress has been achieved in studying weak decays of the charm baryons
Motivated by recent experimental progress in studying weak decays of the c baryon we investigate its semileptonic decays in the framework of the relativistic quark model based on the quasipotential approach with the QCDmotivated potential
It is important to emphasize that the momentum transfer q2 dependence of the decay form factors is explicitly determined without additional model assumptions and extrapolations
Summary
Significant experimental progress has been achieved in studying weak decays of the charm baryons. 6.84 ± 0.24−+00..2271 % with the larger value and precision improved by a factor of 5 over previous results [2] This measurement is very important since many of the previously measured c branching fractions are determined by their ratio with respect to. General relativistic expressions for the decay form factors as overlap integrals of the initial and final baryon wave functions were found. They are obtained without application of either heavy quark 1/m Q or nonrelativistic v/c expansions. It is important to emphasize that the momentum transfer q2 dependence of the decay form factors is explicitly determined without additional model assumptions and extrapolations We apply these expressions for the calculation of the form factors of the c semileptonic decays.
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