An application of the polarized-orbital approximation to electron impact excitation of atomic hydrogen
- 1 December 1969
- journal article
- Published by IOP Publishing in Journal of Physics B: Atomic and Molecular Physics
- Vol. 2 (12) , 1313-1322
- https://doi.org/10.1088/0022-3700/2/12/310
Abstract
Two approximations for electron impact excitation of atomic hydrogen are discussed. Both include polarization effects to first order. In the first (A) a polarized Born approximation, the unperturbed ground-state target eigenfunction is replaced in the direct term of the scattering amplitude by a perturbed first-order function. The second approximation treated (B) consists of replacing the incident plane wave appropriate to Born's approximation by polarized orbitals for the incident electron. Calculations are carried out in both models, for the 1s -> 2s and 1s -> 2p transitions. In all cases the calculated cross sections lie below the corresponding Born approximation and approach it at high impact energies. In the case of approximation (B), when non-adiabatic effects are included in determining the polarized orbitals, the calculated cross sections are in good agreement with experiment near threshold (but do not give the detailed resonance structure).Keywords
This publication has 18 references indexed in Scilit:
- Born cross sections for the ionization of He and Li+ by electron impactJournal of Physics B: Atomic and Molecular Physics, 1969
- A phase-shift analysis of electron-helium scattering: I - Elastic scattering below the 2S resonanceJournal of Physics B: Atomic and Molecular Physics, 1969
- Polarization of Lyman-Alpha Radiation Emitted byAtoms in Weak Electric FieldsPhysical Review Letters, 1968
- Photoionization of Li+Proceedings of the Physical Society, 1967
- Photoionization of the helium atomProceedings of the Physical Society, 1967
- The elastic scattering of slow electrons by neon and argonProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1966
- Remeasurement of the total cross section for excitation of the hydrogen 22S1/2state by electron impactProceedings of the Physical Society, 1966
- The ionization of neutral helium by electron impactProceedings of the Physical Society, 1965
- The method of polarized orbitals for the elastic scattering of slow electrons by ionized helium and atomic hydrogenProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1964
- A Note on the Scattering of Electrons from Atomic HydrogenPhysical Review B, 1959