Decay properties of beauty and charm mesons within Isgur-Wise function formalism

TL;DR

This paper models the decay properties of beauty and charm mesons using a phenomenological potential and Isgur-Wise functions, providing theoretical predictions consistent with experimental data.

Contribution

It introduces a nonrelativistic potential model combined with Isgur-Wise functions to analyze meson decay properties and branching ratios.

Findings

Computed meson masses, decay constants, and branching fractions.

Analyzed radiative and semileptonic decay widths.

Results align with existing theoretical and experimental data.

Abstract

We investigate the decay properties of some beauty and charm mesons with a phenomenological potential model. First, we consider the nonrelativistic Hamiltonian of the mesonic system with Coulomb plus exponential terms and study the wave function and the energy of the system using the variational approach. Thereby, we compute the masses, the decay constants, the leptonic branching fractions of heavy-light mesons and the mixing mass parameter $\Delta {m_{{B_q}}}$. We study the radiative leptonic decay widths of ${D_s} \to \gamma \ell \bar \nu $, ${D^ - } \to \gamma \ell \bar \nu $ and the semileptonic decay widths of ${\bar B_{(s)}} \to {D_{(s)}}\ell \bar \nu $, ${\bar B_{(s)}} \to D_{(s)}^*\ell \bar \nu $. Using Isgur-Wise functions, we calculate the branching ratios of $B \to {D^{(*)}}\pi $ and two-body nonleptonic decay of $D \to K\pi $. Our results are consistent with other theoretical models and the experimental results.