Polarization potential for dipole excitations

L. J. Allen, I. Bray, and I. E. McCarthy
Phys. Rev. A 37, 49 – Published 1 January 1988
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Abstract

The long-range elastic scattering from a many-electron target is due to virtual dipole excitations. For large enough partial-wave quantum number L it is a weighted sum of contributions from single-orbital dipole excitations for which the second Born approximation is valid. It is shown analytically that the corresponding potential is strictly nonlocal but is phase equivalent for large enough L to the adiabatic potential -α/2r4. A detailed numerical investigation is carried out for intermediate L values both of the T-matrix elements and the phase-equivalent local potential. An excellent simple approximation is found. Numerical examples involve the lowest dipole excitations of hydrogen and sodium atoms in electron scattering.

  • Received 6 July 1987

DOI:https://doi.org/10.1103/PhysRevA.37.49

©1988 American Physical Society

Authors & Affiliations

L. J. Allen, I. Bray, and I. E. McCarthy

  • Institute for Atomic Studies, The Flinders University of South Australia, Bedford Park, South Australia 5042, Australia

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Vol. 37, Iss. 1 — January 1988

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