The magnitude of the gluon condensate and the masses of $c$ and $b$ quarks from the families of ${\cal J}$/$\Psi$ and $\Upsilon$ mesons

Abstract

It is shown that the model used in [1] for the description of the experimental function $R_c (s)$ in the form of a sum of $\delta$-functions and the plateau contradicts the Wilson operator expansion (O.E.) in the terms due to the gluon condensate. A QCD model with an infinite number of vector mesons [12,13] does satisfy the requirements of the O.E. for masses and electronic widths resonances close to the experimental values. The region of allowable values of the masses of $c$ and $b$-quarks and the gluon condensate compatible with the O.E. is obtained (Figs. 2,3).