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

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.