Nonperturbative effects in quarkonia associated with large orders in perturbation theory

Martin C. Smith, T. Stelzer, S. Willenbrock

Research output: Contribution to journalArticle

Abstract

We show that the perturbation series for quarkonia energies diverges at large orders. This results in a perturbative ambiguity in the energy that scales as e-2/naΛ, where n is the principal quantum number, a is the Bohr radius, and Λ is the QCD scale parameter. This ambiguity is associated with nonperturbative contribution to the energy from distances of order Λ-1 and greater. This contribution is separate from that of the gluon condensate.

Original languageEnglish (US)
Pages (from-to)405-409
Number of pages5
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume413
Issue number3-4
DOIs
StatePublished - Nov 13 1997

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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