Heavy quark hadronic Lagrangian for {ital s}-wave quarkonium

Journal Article · Mon Apr 01 04:00:00 EST 1996 · Physical Review, D

DOI:https://doi.org/10.1103/PhysRevD.53.3983· OSTI ID:279857

Pineda, A; Soto, J ^[1]

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1. Departament dEstructura i Constituents de la Materia and Institut de Fisica dAltes Energies, Universitat de Barcelona, Diagonal 647, 08028 Barcelona, Catalonia (Spain)

We use heavy quark effective theory (HQET) techniques to parametrize certain nonperturbative effects related to quantum fluctuations that put both heavy quarks and antiquarks in quarkonium almost on shell. The large off-shell momentum contributions are calculated using Coulomb-type states. The almost on-shell momentum contributions are evaluated using an effective {open_quote}{open_quote}chiral{close_quote}{close_quote} Lagrangian which incorporates the relevant symmetries of the HQET for quarks and antiquarks. The cutoff dependence of both contributions matches perfectly. The decay constants and the matrix elements of bilinear currents at zero recoil are calculated. Their leading nonperturbative contributions are parametrized by a single constant and turn out to be {ital O}({alpha}{sup 2}/{Lambda}{sub QCD}{ital a}{sub {ital n}}), {ital a}{sub {ital n}} being the Bohr radius and {alpha} the strong coupling constant, times the nonperturbative contribution coming from the multipole expansion (gluon condensate). We discuss the physical applications to {Upsilon}, {ital J}/{psi}, and {ital B}{sub {ital c}} systems. {copyright} {ital 1996 The American Physical Society.}

• OSTI ID: 279857
• Journal Information: Physical Review, D, Journal Name: Physical Review, D Journal Issue: 7 Vol. 53; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
B MESONS
FLUCTUATIONS
J PSI-3097 MESONS
LAGRANGIAN FUNCTION
MATRIX ELEMENTS
PARAMETRIC ANALYSIS
QUARKONIUM
QUARKS
S WAVES
UPSILON-9460 MESONS