First-order continuum-distorted-wave double-scattering nlm transitions

Closed analytical results are obtained for the first-order continuum-distorted-wave non-relativistic double-scattering Thomas total cross sections for 1sZ A to n B lmZ B , n B lZ B , n B Z B and Z B charge transfer transitions, where the omission of a quantum number implies summation. Specimen l and m distributions are presented. It is concluded that for the higher values of l, even at intermediate energies, the m distributions are given essentially by (l- mod m mod )!(P l mod m mod (cos pi /3)) 2 /(l+ mod m mod )! in accordance with the second-order Oppenheimer-Brinkman-Kramers theory and a reflection of the double-scattering Thomas mechanism involving two successive deflections of the electron through 60 degrees .