Unified theory of meson and nucleon scattering by nuclei

Abstract

In the meson-nucleon model of nuclei, the decomposition of the meson and nucleon field operators into internal and external parts provides a way of treating orthogonality effects in the scattering of hadrons by a nucleus. Under this decomposition, the Hamiltonian of the system splits into an internal part and terms that couple external modes. The internal part of the Hamiltonian is the Hamiltonian of the meson-nucleon shell model, and its eigenstates are approximations to the bound nuclear states. The rest of the Hamiltonian describes the external quanta of the fields and their interactions with the internal states. The internal mode functions are chosen so as to minimize the coupling of the external modes to the low-lying internal states. The Green's functions for the external fields and the diagrammatic representation of the perturbation series are presented and used to describe the treatment of hadron scattering in the one-external-hadron sector.NUCLEAR STRUCTURE $\ensuremath{\pi}$-nucleus and nucleon-nucleus scattering theory.