Decay Properties of $D$ and $D_s$ mesons

TL;DR

This paper investigates the decay properties and spectroscopy of $D$ and $D_s$ mesons using a nonrelativistic quark model, providing predictions consistent with experimental data and other models.

Contribution

It introduces a numerical approach to solve the Schrödinger equation for mesons with a specific potential, calculating decay constants and widths.

Findings

Spectroscopy predictions align with experimental data.

Decay widths are consistent with other models.

Numerical solutions effectively describe meson properties.

Abstract

The decay rates and spectroscopy of the $D$ and $D_s$ mesons are computed in a nonrelativistic phenomenological quark-antiquark potential of the type $V(r)=-{4/3}\frac{\alpha_s}{r}+A r^{\nu}$ with different choices of $\nu$. Numerical method to solve the Schr\"odinger equation has been used to obtain the spectroscopy of $q\bar{Q}$ mesons. The spin hyperfine, spin-orbit and tensor components of the one gluon exchange interactions are employed to compute the spectroscopy of the excited $S$ states, low lying $P$-waves and $D$-waves. The numerically obtained radial solutions are employed to obtain the decay constant and leptonic decay widths. It has been observed that predictions of the spectroscopy and the decay widths are consistent with other model predictions as well as with the known experimental values.