A Schrödinger fit of the spectra of light and heavy mesons by the common potentialV0+Ar0.1

Abstract

A simultaneous Schrödinger fit of the spectra of both light and heavy mesons by an empirical power-law potential of the form $V\left(r\right)=-8.0248+6.757\mathrm{}{r}^{0.1}$ (in GeV units) is obtained by extending a previous fit of the spectra of self-conjugate mesons to that of non-self-conjugate mesons containing up, down, and strange quarks. In spite of the smallness of the constituent quark masses involved, the nonrelativistic fit for the light mesons is astonishingly good.