Relativistic pseudoscalar q q bound states: Results on Bethe-Salpeter wave functions and decay constants

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

DOI:https://doi.org/10.1103/PhysRevD.46.438· OSTI ID:7114127

Munczek, H J; Jain, P ^[1]

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1. Department of Physics and Astronomy, The University of Kansas, Lawrence, Kansas 66045 (United States)

We discuss the properties of pseudoscalar {ital q{bar q}} bound states in the framework of their Bethe-Salpeter equations coupled to the Schwinger-Dyson equations for the quark propagators. The equations were solved numerically in the Landau gauge and in the ladder approximation, but without resorting to nonrelativistic approximations, to obtain bound-state masses, leptonic decay constants, and wave functions. Light-light, light-heavy, and heavy-heavy {ital q{bar q}} bound states were treated with identical numerical procedures and with results which agree qualitatively and quantitatively with expectations both from current algebra for light quarks and from composite models for heavy quarks. Our results for asymptotic quark mass functions and bound-state wave functions agree with those derived from operator-product expansions and renormalization-group considerations.

• DOE Contract Number: FG02-85ER40214
• OSTI ID: 7114127
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 46:1; ISSN 0556-2821; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

662120* -- General Theory of Particles & Fields-- Symmetry
Conservation Laws
Currents & Their Properties-- (1992-)
662230 -- Quantum Chromodynamics-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BASIC INTERACTIONS
BETHE-SALPETER EQUATION
BOUND STATE
CHIRAL SYMMETRY
COMPOSITE MODELS
DECAY
DYSON REPRESENTATION
EIGENVALUES
ELEMENTARY PARTICLES
EQUATIONS
FERMIONS
FIELD THEORIES
FUNCTIONS
GENERAL RELATIVITY THEORY
INTERACTIONS
LADDER APPROXIMATION
LEPTONIC DECAY
MASS
MATHEMATICAL MODELS
PARTICLE DECAY
PARTICLE MODELS
POSTULATED PARTICLES
PROPAGATOR
PSEUDOSCALARS
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
QUARKONIUM
QUARKS
RELATIVITY THEORY
SYMMETRY
SYMMETRY BREAKING
WAVE FUNCTIONS
WEAK INTERACTIONS
WEAK PARTICLE DECAY