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

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 ${D_s} \rightarrow \gamma \ell {{\bar{\nu }}}$, ${D^ - } \rightarrow \gamma \ell {{\bar{\nu }}}$ and the semileptonic decay widths of ${{{\bar{B}}}_{(s)}} \rightarrow {D_{(s)}}\ell {{\bar{\nu }}}$ and ${{{\bar{B}}}_{(s)}} \rightarrow D_{(s)}^*\ell {{\bar{\nu }}}$. Using Isgur–Wise function, we calculate the branching ratios of $B \rightarrow {D^{(*)}}\pi$ and two-body nonleptonic decay of $D \rightarrow K\pi$. Our results are consistent with other theoretical models and the experimental results.