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 language||English (US)|
|Number of pages||5|
|Journal||Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics|
|State||Published - Nov 13 1997|
ASJC Scopus subject areas
- Nuclear and High Energy Physics