Generalized Faddeev Equations for NParticle Scattering
Abstract
A proposal is made for reducing the solution of the Nparticle LippmannSchwinger equation to that of smaller sets of particles. This consists of first writing the Nparticle equation in terms of all possible $N/2$particle LippmannSchwinger equations. (If N is odd this needs a minor modification.) The second step requires a decoupling of the resolvents for the fewer particle systems so that each can be solved separately. This generalization of the Faddeev approach deals only with connected kernels and the homogeneous solution reproduces the Nparticle Schrödinger equation. For four particles the proposed method involves only a $3\times3$ matrix whereas other approaches typically require the solution of at least a $7\times7$ matrix equation.
 Publication:

arXiv eprints
 Pub Date:
 May 2000
 arXiv:
 arXiv:nuclth/0005053
 Bibcode:
 2000nucl.th...5053W
 Keywords:

 Nuclear Theory
 EPrint:
 11 pages