Semileptonic decays of $Λ_c^+$ in dynamical approaches

We study the semileptonic decays of $Λ_c^+ \to Λ(n)\ell^+ ν_{\ell}$ in two relativistic dynamical approaches of the light-front constituent quark model (LFCQM) and MIT bag model (MBM). By considering the Fermi statistic between quarks and determining spin-flavor structures in baryons along with the helicity formalism in the two different dynamical models, we calculate the branching ratios (${\cal B}$s) and averaged asymmetry parameters ($α$s) in the decays. Explicitly, we find that ${\cal B}( Λ_c^+ \to Λe^+ ν_{e})=(3.36\pm0.87,3.48)\%$ and $α( Λ_c^+ \to Λe^+ ν_{e})=(-0.97\pm0.03,-0.83)$ in (LFCQM, MBM), in comparison with the data of ${\cal B}( Λ_c^+ \to Λe^+ ν_{e})=(3.6\pm0.4)\%$ and $α( Λ_c^+ \to Λe^+ ν_{e})=-0.86\pm 0.04$ given by the Particle Data Group, respectively. We also predict that ${\cal B}( Λ_c^+ \to n e^+ ν_{e})=(0.57\pm0.15, 3.6\pm1.5)\times 10^{-3}$ and $α( Λ_c^+ \to n e^+ ν_{e})=(-0.98\pm0.02,-0.96\pm0.04)$ in LFCQM with two different scenarios for the momentum distributions of quarks in the neutron, and ${\cal B}( Λ_c^+ \to n e^+ ν_{e})= 0.279\times 10^{-2}$ and $α( Λ_c^+ \to n e^+ ν_{e})=-0.87$ in MBM, which could be tested by the ongoing experiments at BESIII, LHCb and BELLEII.

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