Adiabatic Exchange Approximation in Electron Scattering from Multi-Electron Atoms UARI Research Report No. 19

The problem of low energy atomic scattering of electrons by multi-electron atoms is formulated in the adiabatic exchange approximation. The effects of target distortion by the electric field of the incident charged particle are determined by computing a polarization potential to be included in the t...

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Main Author: Garrett, W. R.
Format: Electronic
Published: University of Alabama in Huntsville Archives
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Online Access:https://louis.uah.edu/research-reports/9
format Electronic
collection UAH Research Reports Collection
building University of Alabama in Huntsville Archives
publisher University of Alabama in Huntsville Archives
topic Publication
spellingShingle Publication
Adiabatic Exchange Approximation in Electron Scattering from Multi-Electron Atoms UARI Research Report No. 19
Garrett, W. R.
fulltopic Publication
Electron Scattering
spelling Adiabatic Exchange Approximation in Electron Scattering from Multi-Electron Atoms UARI Research Report No. 19Garrett, W. R.The problem of low energy atomic scattering of electrons by multi-electron atoms is formulated in the adiabatic exchange approximation. The effects of target distortion by the electric field of the incident charged particle are determined by computing a polarization potential to be included in the total scattering interaction. The polarization potential is obtained through a polarized orbital calculation on atomic systems described by Hartree-Fock type wave functions. Application is made to Na and Li where electron exchange is included in the reduction of the scattering equation, and the phase shifts and total elastic scattering cross sections are obtained through the solution of a set of integrodifferential equations. Exchange effects are noted explicitly by solving the scattering equations neglecting electron exchange and comparing the computed cross sections. The total elastic scattering cross sections for Li and Na agree well with recent measurements over the entire experimental range, and are significantly better than any previously published results.1965-09-01T07:00:00Ztextapplication/pdfhttps://louis.uah.edu/research-reports/9https://louis.uah.edu/context/research-reports/article/1008/viewcontent/uah_rrpt_1965_0019_001.pdfResearch InstituteLOUISElectron Scattering
title Adiabatic Exchange Approximation in Electron Scattering from Multi-Electron Atoms UARI Research Report No. 19
titleStr Adiabatic Exchange Approximation in Electron Scattering from Multi-Electron Atoms UARI Research Report No. 19
author Garrett, W. R.
author_facet Garrett, W. R.
description The problem of low energy atomic scattering of electrons by multi-electron atoms is formulated in the adiabatic exchange approximation. The effects of target distortion by the electric field of the incident charged particle are determined by computing a polarization potential to be included in the total scattering interaction. The polarization potential is obtained through a polarized orbital calculation on atomic systems described by Hartree-Fock type wave functions. Application is made to Na and Li where electron exchange is included in the reduction of the scattering equation, and the phase shifts and total elastic scattering cross sections are obtained through the solution of a set of integrodifferential equations. Exchange effects are noted explicitly by solving the scattering equations neglecting electron exchange and comparing the computed cross sections. The total elastic scattering cross sections for Li and Na agree well with recent measurements over the entire experimental range, and are significantly better than any previously published results.
url https://louis.uah.edu/research-reports/9
id UAHresearchreports1008
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