Electron-molecule scattering at low and intermediate energies: A glauber-eikonal approximation for simple targets

Abstract

The general formalism of the eikonal phases and Glauber amplitudes is reviewed and examined for electron-molecule scattering processes at intermediate collision energies. A local form of the leading terms of the static and polarization interactions is chosen and the consequent integrals over eikonal phases, those which will yield transition amplitudes within the adiabatic approximation, are examined. Once again it is shown that the final result reduces to two numerical integrations plus a summation, hence making the corresponding cross-section evaluations computationally rapid. Results are presented and discussed for homonuclear diatomics (H2, N2) and for a simple polyatomic target, the CO2 molecule, for which comparisons are possible with previous close coupling computations. The generally fair agreement, for both integral (total) and differential cross sections, is encouraging.