Quark-Antiquark Potential and Generalized Borel Transform

Details Quark-Antiquark Potential and Generalized Borel Transform Quark-Antiquark Potential and Generalized Borel Transform

2001-03-16

arxiv.org/abs/hep-ph/0103186v2

Phys.Lett. B523 (2001) 102-106

Physics

High Energy Physics

High Energy Physics - Phenomenology

9 pages, 3 Table

Scientific paper

10.1016/S0370-2693(01)01327-2

The heavy quark potential and particularly the one proposed by Richardson to incorporate both asymptotic freedom and linear confinement is analyzed in terms of a generalized Borel Transform recently proposed. We were able to obtain, in the range of physical interest, an approximate analytical expression for the potential in coordinate space valid even for intermediate distances. The deviation between our approximate potential and the numerical evaluation of the Richardson's one is much smaller than $\Lambda $ of QCD. The $c\overline{c}$ and $b\overline{b}$ quarkonia energy levels agree reasonably well with experimental data for $c$ and $b$ masses in good agreement with the values obtained from experiments.

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