Retardation corrections to the quarkonium spectrum and the form of the confinement kernel

We reconsider the problem of the retardation corrections to the quarkonium spectrum, due to some errors occurring in an earlier paper. We find that such corrections are too large ([congruent]1 GeV) and rule out the significance of the usual confining part [ital I][sub conf] of the BS kernel as obtai...

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Veröffentlicht in:Physical review. D, Particles and fields Particles and fields, 1993-09, Vol.48 (5), p.2360-2363
Hauptverfasser: BRAMBILLA, N, PROSPERI, G. M
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PROSPERI, G. M
description We reconsider the problem of the retardation corrections to the quarkonium spectrum, due to some errors occurring in an earlier paper. We find that such corrections are too large ([congruent]1 GeV) and rule out the significance of the usual confining part [ital I][sub conf] of the BS kernel as obtained by a simple covariantization'' of the instantaneous form implied by the linear potential. This suggests to keep [ital I][sub conf] instantaneous so that the only retardation correction comes from the perturbative part of the kernel. Under this assumption we calculate the correction to the hyperfine splitting of heavy quarkonium and find it to be of the order of few tens MeV and in the right direction.
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source American Physical Society Journals
subjects 662110 - General Theory of Particles & Fields- Theory of Fields & Strings- (1992-)
662240 - Models for Strong Interactions- (1992-)
662420 - Properties of Mesons & Meson Resonances- (1992-)
BETHE-SALPETER EQUATION
CONFINEMENT
CORRECTIONS
EQUATIONS
Exact sciences and technology
HYPERFINE STRUCTURE
KERNELS
Other models for strong interactions
PERTURBATION THEORY
Physics
PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
POTENTIALS
QUARKONIUM
Specific theories and interaction models
particle systematics
SPECTRA
The physics of elementary particles and fields
title Retardation corrections to the quarkonium spectrum and the form of the confinement kernel
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