Towards a 3D reduction of the Nbody BetheSalpeter equation
Abstract
Starting with the homogeneous BetheSalpeter equation for two fermions, we perform a 3D reduction using a series expansion around an unspecified positiveenergy instantaneous approximation of the kernel. A second series expansion is made, at the 3D level, in order to get an "hermitian" potential. The combination of both series gives a very simple result, which does not depend of the initial approximation of the kernel anymore, and could be obtained directly by starting with an approximation of the free propagator. The generalisation of this result to a system of f (=0,...N) fermions and Nf bosons is easy.
 Publication:

arXiv eprints
 Pub Date:
 October 2000
 arXiv:
 arXiv:hepth/0010132
 Bibcode:
 2000hep.th...10132B
 Keywords:

 High Energy Physics  Theory
 EPrint:
 4 pages. Poster presented at the XVIIth conference on fewbody problems in physics, Evora 2000