Reduction of the instantaneous Bethe-Salpeter equation for q - q bound states

Journal Article · Wed Jan 01 04:00:00 EST 1992 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.45.305· OSTI ID:5136325

Lagaee, J ^[1]

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1. Service de Physique Theorique, Universite Libre de Bruxelles, Campus Plaine, Code Postal 225, boulevard du Triomphe, B-1050 Brussels (Belgium)

We present a straightforward method to reduce the instantaneous Bethe-Salpeter equation to a set of coupled equations for radial wave functions. In the case of positronium, in particular, the results obtained by Cung {ital et} {ital al}. follow immediately; our procedure is, however, much more general and is intended to be applied to mesonic bound states where competing models need to be tested. We also briefly comment on the numerical solution of the ensuing equations.

• OSTI ID: 5136325
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 45:1; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

662110* -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
662420 -- Properties of Mesons & Meson Resonances-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BETHE-SALPETER EQUATION
BOSONS
BOUND STATE
CHIRAL SYMMETRY
DIFFERENTIAL EQUATIONS
DIRAC EQUATION
ELEMENTARY PARTICLES
EQUATIONS
FUNCTIONS
GOLDSTONE BOSONS
HAMILTONIANS
MASS
MATHEMATICAL OPERATORS
PARTIAL DIFFERENTIAL EQUATIONS
POSITRONIUM
POSTULATED PARTICLES
QUANTUM OPERATORS
QUARKONIUM
SYMMETRY
SYMMETRY BREAKING
VARIATIONAL METHODS
WAVE EQUATIONS
WAVE FUNCTIONS