HOW TO OBTAIN A COVARIANT BREIT TYPE EQUATION FROM RELATIVISTIC CONSTRAINT THEORY

Citation
J. Mourad et H. Sazdjian, HOW TO OBTAIN A COVARIANT BREIT TYPE EQUATION FROM RELATIVISTIC CONSTRAINT THEORY, Journal of physics. G, Nuclear and particle physics, 21(3), 1995, pp. 267-279
Citations number
41
Categorie Soggetti
Physics, Particles & Fields","Physics, Nuclear
ISSN journal
09543899
Volume
21
Issue
3
Year of publication
1995
Pages
267 - 279
Database
ISI
SICI code
0954-3899(1995)21:3<267:HTOACB>2.0.ZU;2-9
Abstract
It is shown that, by an appropriate modification of the structure of t he interaction potential, the Breit equation can be incorporated into a set of two compatible manifestly covariant wave equations, derived f rom 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 systemati cally calculated in perturbation theory from Feynman diagrams. The nor malization condition of the Breit wavefunction is determined. The wave equation is reduced, for general classes of potential, to a single Pa uli-Schrodinger-type equation. As an application of the covariant Brei t type equation, we exhibit massless pseudoscalar bound-state solution s, corresponding to a particular class of confining potentials.