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

B. V. Geshkenbein; V. L. Morgunov

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

B. V. Geshkenbein·V. L. Morgunov

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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 $δ$-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).

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B. V. Geshkenbein, V. L. Morgunov. 1994-07-05. The magnitude of the gluon condensate and the masses of $c$ and $b$ quarks from the families of ${\cal J}$/$Ψ$ and $Υ$ mesons. https://arxiv.org/abs/hep-ph/9407230

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