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Published January 1, 1978 | public
Journal Article Open

Discrete-basis-set calculation for e-N2 scattering cross sections in the static-exchange approximation

Abstract

Calculations are reported for low-energy e-N2 scattering cross sections in the static-exchange approximation. Our approach involves solving the Lippman-Schwinger equation for the transition operator in a subspace of Gaussian functions. A new feature of the method is the analytical evaluation of matrix elements of the free-particle Green's function. Another development is the use of an analytical transformation to obtain single-center expansion coefficients for the scattering amplitude from our multicenter discrete-basis-set representation of the T matrix. We present results for the total elastic and rotational excitation cross sections, and the momentum-transfer cross section, for incident electron energies from 0.5 to 10 eV. Comparison is made with other theoretical results and experimental data.

Additional Information

©1978 The American Physical Society. Received 24 January 1977; revised 22 April 1977. We thank Dr. T. N. Rescigno for many helpful discussions during the course of this work. We also thank Dr. N. S. Ostlund for helpful correspondence and for sending us his results for p-type Gaussian matrix elements of the free-particle Green's function prior to publication. One of us (A.W.F.) thanks Dr. A. Temkin for an enlightening discussion regarding the single center expansion for the scattering amplitude. We thank Professor W. A. Goddard III for making his molecular bound-state computer codes available and B. Olafson for help with these programs.

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