Partial Wave Theory of Positron-Hydrogen Atom Collisions

This paper is concerned with the derivation of the radial equations for positron-hydrogen atom collisions from the continuous state Hartree - Fock equations. The angular coefficients are expressed in terms of vector addition coefficients and Racah coefficients for any angular momentum state of the atomic systems: positronium and atomic hydrogen. The boundary conditions are written in terms of the S -matrix and expressions are obtained for total and differential cross sections.