How to obtain a covariant Breit type equation from relativistic Constraint Theory

Abstract

It is shown that, by an appropriate modification of the structure of the interaction potential, the Breit equation can be incorporated into a set of two compatible manifestly covariant wave equations, derived from the general rules of Constraint Theory. The complementary equation to the covariant Breit type equation determines the evolution law in the relative time variable. The interaction potential can be systematically calculated in perturbation theory from Feynman diagrams. The normalization condition of the Breit wave function is determined. The wave equation is reduced, for general classes of potential, to a single Pauli-Schrödinger type equation. As an application of the covariant Breit type equation, we exhibit massless pseudoscalar bound state solutions, corresponding to a particular class of confining potentials.

arXiv comment20 pages, Latex

Cited by in corpus (14)

• The Rest-Frame Darwin Potential from the Lienard-Wiechert Solution in the Radiation Gauge
• QCD coupling below 1 GeV from quarkonium spectrum
• Singularity Structures in Coulomb-Type Potentials in Two Body Dirac Equations of Constraint Dynamics
• Relativistic Calculation of the Meson Spectrum: a Fully Covariant Treatment Versus Standard Treatments
• The Relativistic N-body Problem in a Separable Two-Body Basis
• Two-Body Dirac Equations for Nucleon-Nucleon Scattering
• Relativistic non-instantaneous action-at-a-distance interactions
• Simulating Spin-Orbit Coupling With Quasidegenerate N-Electron Valence Perturbation Theory
• Bethe-Salpeter equation: 3D reductions, heavy mass limits and abnormal solutions
• Magnetic States at Short Distances
• Two fermion relativistic bound states: hyperfine shifts
• Signature of the Fragmentation of a Color Flux Tube
• Solvable Two-Body Dirac Equation as a Potential Model of Light Mesons
• Incorporation of anomalous magnetic moments in the two-body relativistic wave equations of constraint theory