Correlation in the elastic and inelastic S-wave scattering of electrons by H and He⁺

A complete numerical approach to electron–hydrogen collisions

“…Two significant features of the iterative coupling technique can be observed in this plot. Firstly, once a converging trend is demonstrated for all coupled partial waves (b 8 in this example), the error of the partial cross sections (σ 0,0 and σ 5,5 ) are closely matched by the maximum relative change in their associated scattering wavefunctions (ψ 0,0 and ψ 5,5 ). As the ionization cross section calculations are much more computationally intensive than a simple difference calculation, the contribution of iterative coupling to the TICS error can be estimated at each iteration without incurring a large computational overhead.…”

Electron-hydrogen P-wave elastic scattering

“…Recently, electronhydrogen ͑e-H͒ and electron-He + ͑e-He + ͒ scattering in the elastic region has been studied [6,7] using the Feshbach projection operator formalism [8]. In this approach, the usual Hartree-Fock and exchange potentials are augmented by an optical potential, and the resulting phase shifts, being lower bounds, are in general agreement with those of Schwartz [9] and the close-coupling results [10]. Now this optical potential approach is being applied to the e-H system to obtain accurate results in the eleastic region for P-wave scattering.…”

Quantum Mechanical Scattering Theory for Chemical Reactions

“…5 Thus in Figure 1, consider the case that atom B = H+ (a proton), and A and Care electrons, i.e. the collinear version of electron-hydrogen atom scattering.…”