The calculation of feshbach resonances using coupled propagator equations

Abstract

A coupled channel theory of resonances has been formulated within the propagator approach of manybody theory and applied to the 1 .~3~' resonance of e-helium scattering. This system has previously been studied both experimentally and theoretically. Our results for the width of the resonance agree well with these earlier findings.

Optical Potentials and Propagators for Elastic and Inelastic Scattering from Many-Body Targets

“…[36,37] and references therein). Feshbach resonances in the electron-helium scattering cross-section have been studied using a multichannel theory based on Green's functions [38]. Not connected to the subject of scattering, but certainly worth mentioning, is the successful work on Green's functions defined with respect to excited states of atoms [39,40].…”

The one‐particle Green function—Revisited

“…A relatively new development is the study of inelastic processes. The following references study optical potentials for both elastic and inelastic scattering 5–7 beyond the pioneering work of Bell and Squires 8. A strong motivation for the use of propagators is the closeness of the corresponding diagrams to physical intuition.…”