THE RELATIVISTIC 2-BODY EQUATION, JACOBI COORDINATES AND RELATIVISTICWAVE-FUNCTIONS

Citation
Ed. Cooper et al., THE RELATIVISTIC 2-BODY EQUATION, JACOBI COORDINATES AND RELATIVISTICWAVE-FUNCTIONS, Nuclear physics. A, 556(4), 1993, pp. 579-600
Citations number
10
Categorie Soggetti
Physics, Nuclear
Journal title
ISSN journal
03759474
Volume
556
Issue
4
Year of publication
1993
Pages
579 - 600
Database
ISI
SICI code
0375-9474(1993)556:4<579:TR2EJC>2.0.ZU;2-F
Abstract
Starting with a general dispersion relation, the three-dimensional rel ativistic two-body propagator is expressed in terms of relativistic Ja cobi coordinates. This procedure can be used with most of the widely u sed propagators. The propagator, written in terms of the Jacobi coordi nates, is used to define and develop a relativistic two-body wave func tion. The use of the wave function is illustrated in two cases: photo- disintegration of a system initially consisting of a bound pair, and t he calculation of the form factors of such a pair. In each case some m inimal three body aspects are present. In each case also the connectio n between the relativistic wave function that we have defined and the usual nonrelativistic wavefunction based on the Schrodinger equation i s clearly (and easily) made.