Heavy quarkonium and nonperturbative corrections

Journal Article · Tue Oct 01 04:00:00 EDT 1996 · Physical Review, D

DOI:https://doi.org/10.1103/PhysRevD.54.4609· OSTI ID:383935

Pineda, A; Soto, J ^[1]

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1. Department d`Estructura i Constituents de la Materia and Institut de Fisica d`Altes Energies, Universitat de Barcelona, Diagonal, 647, E-08028 Barcelona, Catalonia (Spain)

We analyze the possible existence of nonperturbative contributions in heavy {ital {bar Q}}{ital Q} systems ({ital {bar Q}} and {ital Q} need not have the same flavor) which cannot be expressed in terms of local condensates. Starting from QCD, with well-defined approximations and splitting properly the fields into large and small momentum components, we derive an effective Lagrangian where hard gluons (in the nonrelativistic approximation) have been integrated out. The large momentum contributions (which are dominant) are calculated using Coulomb-type states. In addition to the usual condensate corrections, we see the possibility of new nonperturbative contributions. We parametrize them in terms of two low momentum correlators with Coulomb bound state energy insertions {ital E}{sub {ital n}}. We realize that the heavy quark effective Lagrangian can be used in these correlators. We calculate the corrections that they give rise to in the decay constant, the bound state energy, and the matrix elements of bilinear currents at zero recoil. We study the cutoff dependence of the new contributions and we see that it matches perfectly with that of the large momentum contributions. We consider two situations in detail, (i) {ital E}{sub {ital n}}{gt}{Lambda}{sub QCD}({ital M}{sub {ital Q}}{r_arrow}{infinity}) and (ii) {ital E}{sub {ital n}}{lt}{Lambda}{sub QCD}, and briefly discuss the expected size of the new contributions in {Upsilon}, {ital J}/{psi}, and {ital B}{sub {ital c}}{sup {asterisk}} systems. {copyright} {ital 1996 The American Physical Society.}

• OSTI ID: 383935
• Journal Information: Physical Review, D, Journal Name: Physical Review, D Journal Issue: 7 Vol. 54; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

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