A non-perturbative treatment of spin-dependent interactions of heavy quarkonia

Abstract

We propose a “regularized” potential which leads to spin-dependent interactions less singular than 1 r 2 . The Schrödinger equation is solved non-perturbatively including all spin-dependent interactions. The spectrum of heavy quarkonia, the leptonic decay width as well as the M1 transition are in very good agreement with experiment. The ratios of the α s show the logarithmic Q 2-dependence of asymptotic freedom.