New Approach to the Theory of Coupled pi NN-NN Systems. 4. Completion of Formal Development

摘要

We complete our discussion pertaining to the coupled pi NN-NN system in succession of our previous works and approach the problem in two independent ways. The first one starts from a Hamiltonian formalism and coupled Schroedinger equations whereas the second one employs an off-mass-shell relativistic theory of classifying perturbation diagrams. Both ways lead to connected equations among transition operators in which pi NN vertices as well as nucleon propagators are completely dressed and renormalized. Furthermore, the physical amplitudes obey two and three body unitarity relations. The resultant equations form a sound theoretical basis for subsequent numerical calculations leading to the evaluation of physical observables in the reactions pi +d implies pi +d, pi +d implies N+N and N+N implies N+N. (Atomindex citation 11:563802)