Article,
Resonance scattering theory
Proceedings of the Physical Society, 84 (4): 477--497 (1964)
DOI: 10.1088/0370-1328/84/4/303
Abstract
A general formalism for the scattering of particles by a complex target is developed. The scattering amplitude is expressed as the sum of the first Born approximation amplitude plus a sum of contributions from resonance terms. The Pauli principle has been taken into account. No joining radius, defining an internal region, occurs in the theory since the resonant states are defined as extending over all space with asymptotic outgoing wave boundary conditions. There is no hard sphere scattering term in the scattering amplitude. These features make the new resonance expansion particularly applicable to the scattering of electrons from atoms and molecules.
