Weak Decay Form Factors of Heavy Pseudoscalar Mesons within a Light-Front Constituent Quark Model

Abstract

The transition form factors describing the semileptonic decays of heavy pseudoscalar mesons are investigated within a relativistic constituent quark model formulated on the light-front. For the first time, the form factors are calculated in the whole accessible kinematical region, adopting meson wave functions derived from various effective $q \bar{q}$ interactions able to describe the meson mass spectra. It is shown that the decay rates of the $B \to D \ell \nu_{\ell}$, $D \to K \ell \nu_{\ell}$ and $D \to \pi \ell \nu_{\ell}$ weak decays are mainly governed by the effects of the confinement scale, whereas the $B \to \pi \ell \nu_{\ell}$ decay rate is sensitive to the high-momentum components generated in the meson wave functions by the effective one-gluon-exchange interaction. Our results are consistent with available experimental data and predictions of lattice $QCD$ calculations and $QCD$ sum rules.