Electromagnetic binding of a minimally interacting, relativistic spin-0 and spin- 1/2 constituent: Zero four-momentum solutions
Journal Article
·
· J. Math. Phys. (N.Y.); (United States)
Bound states of a composite system consisting of a charged spin-0 and a charged spin- 1/2 constituent interacting via minimal electrodynamics are investigated using the Bethe--Salpeter equation in the ladder approximation (single photon exchange). Although the interaction involves derivative couplings, in the limit that the four-momentum is zero, it is possible to solve the integral equation by performing a Wick rotation and employing a method due to Fock. The eigenvalue spectrum of the coupling constant is found to be discrete.
- Research Organization:
- Department of Physics, The Ohio State University, Columbus, Ohio 43210
- OSTI ID:
- 5959080
- Journal Information:
- J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 27:5; ISSN JMAPA
- Country of Publication:
- United States
- Language:
- English
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·
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Related Subjects
645202* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Electromagnetic Interactions & Properties
645302 -- High Energy Physics-- Particle Invariance Principles & Symmetries-- Applications to Electromagnetic & Weak Interactions-- (-1987)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANALYTICAL SOLUTION
BASIC INTERACTIONS
BETHE-SALPETER EQUATION
BOUND STATE
COMPOSITE MODELS
COUPLING
EIGENVALUES
ELECTROMAGNETIC INTERACTIONS
ENERGY RANGE
EQUATIONS
INTEGRAL EQUATIONS
INTERACTIONS
LADDER APPROXIMATION
MATHEMATICAL MODELS
PARTICLE MODELS
RELATIVISTIC RANGE
645302 -- High Energy Physics-- Particle Invariance Principles & Symmetries-- Applications to Electromagnetic & Weak Interactions-- (-1987)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANALYTICAL SOLUTION
BASIC INTERACTIONS
BETHE-SALPETER EQUATION
BOUND STATE
COMPOSITE MODELS
COUPLING
EIGENVALUES
ELECTROMAGNETIC INTERACTIONS
ENERGY RANGE
EQUATIONS
INTEGRAL EQUATIONS
INTERACTIONS
LADDER APPROXIMATION
MATHEMATICAL MODELS
PARTICLE MODELS
RELATIVISTIC RANGE