Approximate analytic wave function method in electron atom scattering calculations

Approximate analytic wave function method in the calculation of electron atom scattering cross sections have been developed. This method assumes that the dominant scattering amplitude is contributed by the static potential of the scattering process. The static potential is modeled such that the second Born off shell analytic form is available, i.e. in the form of screened Coulomb potentials. The potential strength parameters are determined from the variational Hartree-Fock method (Salvatz et al 1987). Approximate analytic wave function describing the scattering process in the static model can be obtained employing the Fredholm integral equation method developed by Holt and Santoso (1972). Using this wave function, any scattering process that is considered to be perturbing terms, can be calculated straight forward. This approximate wave function improves the Born approximation in that more wave numbers as a result of wave function spreading have been taken into account. (author)