A Q(Q)over-bar-potential extracted from quarkonium spectroscopic data

A phenomenological quark-antiquark potential is constructed from the spectr oscopic data of charmonium states within an overall non-relativistic framew ork. Employing a general power-law-type potential, we study the mass variat ion of charmonium w.r.t. the parameters of the confining part of the intera ction potential. Use of the short-distance part as 'Coulombic' type, as giv en by the peturbative QCD, is shown to be inconsistent with the data. And t hereafter, analysis is repeated employing the short distance part as having an inverse square root behaviour, leading to the conclusion that the exper imental data favour a potential of the type: V(r) = k/root r + beta root r. With this potential, the numerical results of masses and leptonic decay wi dths of cc, bb, as well as those of cb states are presented. Variation of w avefunction overlap at origin, [psi(0)](2), w.r.t. the parameters of the co nfining part of the potential is also investigated.