Low-energy electron scattering from CO. III. Analytic method for outer region in frame-transformation theory

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Abstract
For pt.III see Phys. Rev. A, vol.16, p.80-108 (1977). A non-perturbative approximation, suitable for electron scattering from both weakly and strongly polar molecular, has been proposed. The coupling in the scattering equations due to the presence of the non-central electron-dipole interaction is removed by merely shifting the relative positions of the rotational levels but without either making them degenerate or neglecting their energies. This method has been used to simplify application of the frame-transformation theory (FT) to electron scattering from polar systems. The problem in the outer region of the FT can now be solved without numerical integration and the solution written in a form suited for an R-matrix treatment of the molecular core. The proposed procedure achieves very high level of efficiency and economy of calculation without much sacrifice of accuracy. This method has been applied to electron scattering from weakly polar carbon monoxide. The integrated cross sections for various rotational transitions have been calculated from 0.005 to 10.0 eV and compared with previously obtained accurate results. The usefulness of this method for electron scattering from strongly polar neutral and ionic systems has been discussed.