A Connection Between The Perturbative QCD Potential and Phenomenological Potentials

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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16 pages, 6 figures;v2:One table added, Fig.2(a) and Fig.3 modified, some remarks added, no change in major discussion or conc

Scientific paper

10.1103/PhysRevD.65.054003

When the cancellation of the leading renormalon contributions is incorporated, the total energy of a b bbar system, E_{tot,bbbar}(r) = 2 m_{pole,b} + V_QCD(r), agrees well with the potentials used in phenomenological models for heavy quarkonia in the range 0.5 GeV^-1 < r < 3 GeV^-1. We provide a connection between the conventional potential-model approaches to the quarkonium spectroscopy and the recent computation based on perturbative QCD.

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