Quark-binding effects in inclusive decays of heavy mesons

TL;DR

This paper introduces a relativistic dispersion quark model to analyze quark-binding effects in inclusive heavy meson decays, providing detailed distribution calculations based on the B meson wave function.

Contribution

It develops a new approach using the dispersion quark model to connect exclusive and inclusive decay distributions through the B meson wave function.

Findings

Numerical results for distributions in B → X_c lν decays.

Consistent description of exclusive and inclusive decay effects.

Application of the model to various differential decay spectra.

Abstract

We present a new approach to the analysis of quark-binding effects in inclusive decays of heavy mesons within the relativistic dispersion quark model. Various differential distributions, such as electron energy spectrum, $q^2$- and $M_X$-distributions, are calculated in terms of the $B$ meson soft wave function which also determines long-distance effects in exclusive transition form factors. Using the quark-model parameters and the $B$ meson wave function previously determined from the description of the exclusive $b \to u$ transitions within the same dispersion approach, we provide numerical results on various distributions in the inclusive $B \to X_c l\nu$ decays.