Quarkonia in the Bethe--Salpeter formalism with background fields

Journal Article · Tue Jan 31 23:00:00 EST 1989 · Soviet Journal of Nuclear Physics (English Translation); (USA)

OSTI ID:5468196

Mathur, Y K; Mitra, A N ^[1]

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1. Department of Physics, University of Delhi, India (IN)

A QCD-oriented Bethe--Salpeter (BS) equation for a {ital q{bar q}} system is formulated in which the quark 4-momenta {ital p}{sub {mu}} are modified as {ital p}{sub {mu}}{r arrow}{ital p}{sub {mu}}{minus}{ital gA}{sub {mu}}({ital x}) in the inverse propagators therein, and a Fock--Schwinger (FS) gauge expansion is employed for the gluon fields {ital A}{sub {mu}}({ital x}). The first term ({similar to}{ital x}{sub {mu}}) of the FS representation yields a harmonic kernel when the BS equation is reduced to a 3-dimensional level via the null-plane ansatz (NPA). It also generates a spin-dependent interaction proportional to ({bold j}{sub 1}+{bold s}{sub 1}){center dot}({bold j}{sub 2}+{bold s}{sub 2}), in close parallel to a {bold J}{center dot}{bold S} term generated by a vector-like ({gamma}{sup (1)}{gamma(2)}) harmonic model for the {ital q{bar q}} interaction proposed earlier by the Delhi Group. A possible mechanism for confinement in an asymptotically linear scene is proposed within the BS framework, taking cue partly from the suggestions of multiple correlation effects (Shifman), and partly from the postulation of stochastic fields (Simonov).

• OSTI ID: 5468196
• Journal Information: Soviet Journal of Nuclear Physics (English Translation); (USA), Journal Name: Soviet Journal of Nuclear Physics (English Translation); (USA) Vol. 49:2; ISSN 0038-5506; ISSN SJNCA
• Country of Publication: United States
• Language: English

Related Subjects

645204* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Strong Interactions & Properties
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BASIC INTERACTIONS
BETHE-SALPETER EQUATION
BOSONS
COUPLING
ELEMENTARY PARTICLES
EQUATIONS
FIELD THEORIES
GLUONS
INTERACTIONS
INTERMEDIATE COUPLING
L-S COUPLING
POSTULATED PARTICLES
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
QUARKONIUM
STRONG INTERACTIONS
THREE-DIMENSIONAL CALCULATIONS