A Connection Between The Perturbative QCD Potential and Phenomenological Potentials

Abstract

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.

16 pages, 6 figures;v2:One table added, Fig.2(a) and Fig.3 modified, some remarks added, no change in major discussion or conclusions;v3:comments on effective theories added, comparison with BLM scale added, references added

References in corpus (1)

• Quarkonium Spectroscopy and Perturbative QCD: A New Perspective

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