Hybrid theory of electronhydrogen elastic scattering
Abstract
We report on a study of electronhydrogen scattering, using a combination of a modified method of polarized orbitals and the optical potential formalism which does not require projection operators. The calculation is restricted to S waves in the elastic region, where the correlation functions are of Hylleraas type. It is found that the phase shifts are not significantly affected by the modification of the target function by a method similar to the method of polarized orbitals and they are close to the phase shifts calculated earlier by Bhatia and Temkin [Phys. Rev. A 64, 032709 (2001)]. This indicates that the correlation function is general enough to include the target distortions (polarization) in the presence of the incident electron, except for the scattering lengths for which the inclusion of polarization is essential for precision results. Results for the phase shifts, obtained in the present hybrid formalism, are rigorous lower bounds to the exact phase shifts.
 Authors:
 Heliophysics Science Division, NASA/Goddard Space Flight Center, Greenbelt, Maryland 20771 (United States)
 Publication Date:
 OSTI Identifier:
 20982333
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Physical Review. A; Journal Volume: 75; Journal Issue: 3; Other Information: DOI: 10.1103/PhysRevA.75.032713; (c) 2007 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 74 ATOMIC AND MOLECULAR PHYSICS; ATOMS; COMPUTER CALCULATIONS; CORRELATION FUNCTIONS; ELASTIC SCATTERING; ELECTRONATOM COLLISIONS; ELECTRONS; HYBRIDIZATION; HYDROGEN; MODIFICATIONS; PHASE SHIFT; POLARIZATION; POTENTIALS; S WAVES; SCATTERING LENGTHS
Citation Formats
Bhatia, A. K. Hybrid theory of electronhydrogen elastic scattering. United States: N. p., 2007.
Web. doi:10.1103/PHYSREVA.75.032713.
Bhatia, A. K. Hybrid theory of electronhydrogen elastic scattering. United States. doi:10.1103/PHYSREVA.75.032713.
Bhatia, A. K. Thu .
"Hybrid theory of electronhydrogen elastic scattering". United States.
doi:10.1103/PHYSREVA.75.032713.
@article{osti_20982333,
title = {Hybrid theory of electronhydrogen elastic scattering},
author = {Bhatia, A. K.},
abstractNote = {We report on a study of electronhydrogen scattering, using a combination of a modified method of polarized orbitals and the optical potential formalism which does not require projection operators. The calculation is restricted to S waves in the elastic region, where the correlation functions are of Hylleraas type. It is found that the phase shifts are not significantly affected by the modification of the target function by a method similar to the method of polarized orbitals and they are close to the phase shifts calculated earlier by Bhatia and Temkin [Phys. Rev. A 64, 032709 (2001)]. This indicates that the correlation function is general enough to include the target distortions (polarization) in the presence of the incident electron, except for the scattering lengths for which the inclusion of polarization is essential for precision results. Results for the phase shifts, obtained in the present hybrid formalism, are rigorous lower bounds to the exact phase shifts.},
doi = {10.1103/PHYSREVA.75.032713},
journal = {Physical Review. A},
number = 3,
volume = 75,
place = {United States},
year = {Thu Mar 15 00:00:00 EDT 2007},
month = {Thu Mar 15 00:00:00 EDT 2007}
}

We present a new perturbation treatment of electron scattering. It is based on determining a primitive wave function which is nonsymmetric with respect to electron exchange. The theory is developed specifically for elastic scattering from atomic hydrogen but appears generalizable to manyelectron atoms and to inelastic processes as well. From the firstorder wave function, which can be made squareintegrable, one obtains the phase shifts through third order. Calculations with a crude sphericalwell initial approximation are carried out for illustrative purposes.

Use of second order potentials in the theory of scattering of charged particles by atoms. VI. Elastic scattering of electrons by hydrogen and helium atoms
Angular distributions for the elastic scattering of electrons by hydrogen and helium atoms were calculated by the second order potential method of Bransden and Coleman (J. Phys. B. Atom. Molec. Phys.; 5: 53745 (1972)), using a partial wave expansion and allowing for exchange, in the energy interval 50 to 200 eV. Good agreemert with experimental data is obtained except at large angle scattering, for which the calculated values are up to 25% smaller than those measured. (auth) 
Electron screening in elastic scattering of muonic hydrogen in hydrogen
The effective twolevel approximation of the adiabatic method is used to study the elastic scattering of muonic atoms of hydrogen isotopes. (AIP)