Relativistic description of quark-antiquark bound states. II. Spin-dependent treatment

Journal Article · Sat Sep 01 04:00:00 EDT 1990 · Physical Review, D (Particles Fields); (USA)

DOI:https://doi.org/10.1103/PhysRevD.42.1651· OSTI ID:6365227

Gara, A; Durand, B; Durand, L ^[1]

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1. Department of Physics, University of Wisconsin-Madison, Madison, WI (USA)

We present the results of a study of light- and heavy-quark--antiquark bound states in the context of the reduced Bethe-Salpeter equation, including the full spin dependence. We obtain good fits to the observed spin splittings in the {ital b{bar b}} and {ital c{bar c}} systems using a short-distance single-gluon-exchange interaction, and a long-distance scalar confining interaction. However, we cannot obtain satisfactory fits to the centers of gravity of the {ital b{bar b}} and {ital c{bar c}} spin multiplets at the same time, and the splittings calculated for {ital q{bar Q}} mesons containing the lighter quarks are very poor. The difficulty appears to be intrinsic to the reduced Salpeter equation for reasons which we discuss.

• DOE Contract Number: AC02-76ER00881
• OSTI ID: 6365227
• Journal Information: Physical Review, D (Particles Fields); (USA), Journal Name: Physical Review, D (Particles Fields); (USA) Vol. 42:5; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

645204* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Strong Interactions & Properties
645400 -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANGULAR MOMENTUM
BEAUTY MESONS
BEAUTY PARTICLES
BETHE-SALPETER EQUATION
BOSONS
BOUND STATE
DIFFERENTIAL EQUATIONS
ELEMENTARY PARTICLES
EQUATIONS
FIELD THEORIES
GENERAL RELATIVITY THEORY
GLUONS
HADRONS
MASS
MESONS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE PROPERTIES
PERTURBATION THEORY
POSTULATED PARTICLES
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
QUARKONIUM
REGGE TRAJECTORIES
RELATIVITY THEORY
SPIN
WAVE EQUATIONS