Reduction of the instantaneous Bethe-Salpeter equation forq−q¯bound states
- 1 January 1992
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 45 (1) , 305-316
- https://doi.org/10.1103/physrevd.45.305
Abstract
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 et 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.Keywords
This publication has 21 references indexed in Scilit:
- Relativistic description of quark-antiquark bound states. II. spin-dependent treatmentPhysical Review D, 1990
- Evidence against a scalar confining potential in QCDPhysics Letters B, 1990
- Relativistic description of quark-antiquark bound states. Spin-independent treatmentPhysical Review D, 1989
- Quark model of light mesons with dynamically broken chiral symmetryPhysical Review D, 1985
- Complete reduction of fermion-antifermion Bethe-Salpeter equation with static kernel. IIAnnals of Physics, 1976
- Positronium: A review of the theoryPhysics Reports, 1975
- A General Survey of the Theory of the Bethe-Salpeter EquationProgress of Theoretical Physics Supplement, 1969
- Normalization of Bethe-Salpeter Wave FunctionsPhysical Review B, 1965
- Mass Corrections to the Fine Structure of Hydrogen-Like AtomsPhysical Review B, 1952
- A Relativistic Equation for Bound-State ProblemsPhysical Review B, 1951