Simultaneous fit of the spectra of light and heavy self-conjugate mesons

It is shown that a simultaneous nonrelativistic fit of the spectra of both the light and heavy self-conjugate mesons is possible by an effective non-Coulombic power-law potential of the form $V\left(r\right)={\mathrm{Ar}}^{0.1}+V_0$. This purely phenomenological potential is found to provide a very good account of the mass spectra and the leptonic decay widths of the ${\rho }^0$, $\phi$, $\psi$, and $\Upsilon$ systems in a flavor-independent manner. In spite of the smallness of the constituent quark masses involved, the nonrelativistic fit for the light mesons of ${\rho }^0$ and $\phi$ systems is excellent.