Quantitative evaluation of first-order retardation corrections to the quarkonium spectrum

Journal Article · Sat Aug 01 00:00:00 EDT 1992 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.46.1096· OSTI ID:7106374

Brambilla, N; Prosperi, G M ^[1]

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1. Dipartimento di Fisica dell'Universita di Milano and Istituto Nazionale di Fisica Nucleare, Sezione di Milano, via Celoria 16, 20133 Milano (Italy)

We evaluate numerically first-order retardation corrections for some charmonium and bottomonium masses under the usual assumption of a Bethe-Salpeter purely scalar confinement kernel. The result depends strictly on the use of an additional effective potential to express the corrections (rather than to resort to Kato perturbation theory) and on an appropriate regularization prescription. The kernel has been chosen in order to reproduce in the instantaneous approximation a semirelativistic potential suggested by the Wilson loop method. The calculations are performed for two sets of parameters determined by fits in potential theory. The corrections turn out to be typically of the order of a few hundred MeV and depend on an additional scale parameter introduced in the regularization. A conjecture existing in the literature on the origin of the constant term in the potential is also discussed.

• OSTI ID: 7106374
• Journal Information: Physical Review, D (Particles Fields); (United States), Vol. 46:3; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOTTOMONIUM
MASS
CHARMONIUM
HAMILTONIANS
MOMENTUM TRANSFER
PERTURBATION THEORY
PROPAGATOR
QUANTUM CHROMODYNAMICS
QUARK-ANTIQUARK INTERACTIONS
QUARKS
STRING MODELS
WILSON LOOP
BOSONS
COMPOSITE MODELS
ELEMENTARY PARTICLES
EXTENDED PARTICLE MODEL
FERMIONS
FIELD THEORIES
HADRONS
INTERACTIONS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MESONS
PARTICLE INTERACTIONS
PARTICLE MODELS
POSTULATED PARTICLES
QUANTUM FIELD THEORY
QUANTUM OPERATORS
QUARK MODEL
QUARKONIUM
662230* - Quantum Chromodynamics- (1992-)
662440 - Properties of Other Particles Including Hypothetical Particles- (1992-)