标题： 胶子凝聚的大小以及来自${\cal J}$/$Ψ$和$Υ$介子家族的$c$和$b$夸克的质量 显示英文标题

标题： The magnitude of the gluon condensate and the masses of $c$ and $b$ quarks from the families of ${\cal J}$/$Ψ$ and $Υ$ mesons

摘要： 该模型在[1]中用于描述实验函数$R_c (s)$的形式为$\delta$函数和平台的总和，由于胶子凝聚态项的原因，与威尔逊算符展开（O.E.）相矛盾。具有无限多个矢量介子的QCD模型[12,13]满足O.E.的要求，对于质量及电子宽度接近实验值的共振态。获得了与O.E.兼容的$c$和$b$夸克质量及胶子凝聚态的允许值区域（图2,3）。 显示英文摘要

摘要： 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).