Popis: |
In this paper we present in a detailed and coherent fashion our work on QCD sum rules for equal mass heavy quark meson states. We discuss the technical procedures used to calculate the perturbative and non-perturbative contributions to the vacuum polarization, which have been calculated for all currents up to and including spin 2++. Using dispersion relations, sum rules are derived. Extensive applications are made to the lowest lying states of the charmonium and upsilon systems. The masses of the S- and P-wave charmonium levels are reproduced to a high degree of accuracy, and the mass of the 1P1 level is predicted at 3.51 GeV. For the upsilon system it only appears to be possible to predict the γ-ηb splitting which gives 60 MeV. Very accurate values are given for the current quark masses at p2 = −mq2: mc = 1.28 GeV and mb = 4.25 GeV. |