Potential of heavy quarks in the static limit of QCD

Abstract

The potential of static quarks that is consistent both with the three-loop QCD running coupling constant, the two-loop perturbative matching of the \(\overline {MS} \) and V schemes being taken into account here, and with the regime of quark confinement at long distances is derived on the basis of the procedure and arguments proposed by Richardson, Buchmuller, and Tye. Applications of this approach are discussed for the masses of heavy quarks, for the mass spectra of heavy quarkonia, and for the leptonic widths of vector states.