Partition permuting array approach to few-body Hamiltonian models of nuclear reactions

Abstract

The approximate Hamiltonian formulation of many-body scattering recently proposed by Polyzou and Redish is used to derive approximate Baer–Kouri–Levin–Tobocman (BKLT) integral equations. It is shown that these equations have connected kernels after a finite number of iterations and the approximation defined by them is unitary. Integral equations imbedding the approximation in the exact theory are also given. Some lemmas which relate to the connectivity of operator products are established and are employed to prove the connected-kernel properties of both the BKLT as well as the imbedding integral equations