Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1996-06-19
J.Math.Phys. 38 (1997) 2181-2196
Physics
High Energy Physics
High Energy Physics - Theory
25 pages, Latex file, no figure
Scientific paper
10.1063/1.532011
Using a Dirac-matrix substitution rule, applied to the electric charge, the anomalous magnetic moments of fermions are incorporated in local form in the two-body relativistic wave equations of constraint theory. The structure of the resulting potential is entirely determined, up to magnetic type form factors, from that of the initial potential descibing the mutual interaction in the absence of anomalous magnetic moments. The wave equations are reduced to a single eigenvalue equation in the sectors of pseudoscalar and scalar states ($j=0$). The requirement of a smooth introduction of the anomalous magnetic moments imposes restrictions on the behavior of the form factors near the origin, in $x$-space. The nonrelativistic limit of the eigenvalue equation is also studied.
Jallouli Hassen
Sazdjian Hagop
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