Semileptonic decays of $Λ_c^+$ in dynamical approaches

Abstract

We study the semileptonic decays of Λ + c → Λ(n)ℓ + ν ℓ 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 (Bs) and averaged asymmetry parameters (αs) in the decays. Explicitly, we find that B(Λ + c → Λe + ν e ) = (3.43 ± 0.57, 3.48)% and α(Λ + c → Λe + ν e ) = (−0.96 ± 0.03, −0.83) in (LFCQM, MBM), in comparison with the data of B(Λ + c → Λe + ν e ) = (3.6 ± 0.4)% and α(Λ + c → Λe + ν e ) = −0.86 ± 0.04 given in the Particle Data Group, respectively. We also predict that B(Λ + c → ne + ν e ) = (2.15 ± 0.41, 2.55) × 10 −3 and α(Λ + c → ne + ν e ) = (−0.97 ± 0.01, −0.85) in (LFCQM, MBM), which could be observed by the ongoing experiments at BESIII, LHCb and BELLEII.