Properties of $Q\bar{Q}$ $(Q \epsilon b, c)$ mesons in Coulomb plus Power potential

TL;DR

This paper investigates the properties of heavy quarkonium mesons using a Coulomb plus power-law potential, calculating their spectra, decay constants, and decay widths with numerical solutions and comparing results to experimental data.

Contribution

It introduces a non-relativistic potential model with variable power-law exponent to compute meson properties, including decay rates and spectra, with detailed numerical analysis.

Findings

Spectroscopy results agree with experimental data.

Decay widths are computed with and without radiative corrections.

The model's predictions are consistent with other potential models.

Abstract

The decay rates and spectroscopy of the $Q \bar Q$ $(Q \in c, b)$ mesons are computed in non-relativistic phenomenological quark antiquark potential of the type $V(r)=-\frac{\alpha_c}{r}+A r^{\nu}$, (CPP$_{\nu}$) with different choices $\nu$. Numerical solution of the schrodinger 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 interaction are employed to compute the spectroscopy of the few lower $S$ and orbital excited states. The numerically obtained radial solutions are employed to obtain the decay constant, di-gamma and di-leptonic decay widths. The decay widths are determined with and without radiative corrections. Present results are compared with other potential model predictions as well as with the known experimental values.