Calculation of the excitation cross sections for the {sup 1}{Sigma}{sub u}{sup +} and {ital C} {sup 1}{Pi}{sub u}{sup +} states in {ital e}H{sub 2} scattering at 60 eV
Abstract
Integral cross sections have been calculated for the dipoleallowed transitions from {ital X} {sup 1}{Sigma}{sub g}{sup +} to the {sup 1}{Sigma}{sub u}{sup +} and the {ital C} {sup 1}{Pi}{sub u}{sup +} states in electronhydrogenmolecule scattering at 60 eV. Experimental data and a universal function [A. Z. Msezane and I. A. Sakmar, Phys. Rev. A 49, 2405 (1994)], which can extrapolate the generalized oscillator strength through the nonphysical region to {ital K}{sup 2} (momentum transfer squared) =0, have been used in the calculation. A better agreement between theoretical results and experimental data has been achieved by using the universal function in the range of small scattering angles ({theta}{lt}10{degree}). The results show that the extrapolation used by experimentalists underestimated the differential cross sections (DCS`s) at small scattering angles. Our calculation suggests that the universal function can be used to extrapolate the DCS for the electronmolecule scattering down to 0{degree} at high energy.
 Authors:

 Center for Theoretical Studies of Physical Systems and the Department of Physics, Clark Atlanta University, Atlanta, Georgia 30314 (United States)
 Publication Date:
 OSTI Identifier:
 44649
 Resource Type:
 Journal Article
 Journal Name:
 Physical Review A
 Additional Journal Information:
 Journal Volume: 51; Journal Issue: 5; Other Information: PBD: May 1995
 Country of Publication:
 United States
 Language:
 English
 Subject:
 66 PHYSICS; HYDROGEN; ELECTRONMOLECULE COLLISIONS; EXCITATION; SMALL ANGLE SCATTERING; INTEGRAL CROSS SECTIONS; ERRORS
Citation Formats
Chen, Z, and Msezane, A Z. Calculation of the excitation cross sections for the {sup 1}{Sigma}{sub u}{sup +} and {ital C} {sup 1}{Pi}{sub u}{sup +} states in {ital e}H{sub 2} scattering at 60 eV. United States: N. p., 1995.
Web. doi:10.1103/PhysRevA.51.3745.
Chen, Z, & Msezane, A Z. Calculation of the excitation cross sections for the {sup 1}{Sigma}{sub u}{sup +} and {ital C} {sup 1}{Pi}{sub u}{sup +} states in {ital e}H{sub 2} scattering at 60 eV. United States. doi:10.1103/PhysRevA.51.3745.
Chen, Z, and Msezane, A Z. Mon .
"Calculation of the excitation cross sections for the {sup 1}{Sigma}{sub u}{sup +} and {ital C} {sup 1}{Pi}{sub u}{sup +} states in {ital e}H{sub 2} scattering at 60 eV". United States. doi:10.1103/PhysRevA.51.3745.
@article{osti_44649,
title = {Calculation of the excitation cross sections for the {sup 1}{Sigma}{sub u}{sup +} and {ital C} {sup 1}{Pi}{sub u}{sup +} states in {ital e}H{sub 2} scattering at 60 eV},
author = {Chen, Z and Msezane, A Z},
abstractNote = {Integral cross sections have been calculated for the dipoleallowed transitions from {ital X} {sup 1}{Sigma}{sub g}{sup +} to the {sup 1}{Sigma}{sub u}{sup +} and the {ital C} {sup 1}{Pi}{sub u}{sup +} states in electronhydrogenmolecule scattering at 60 eV. Experimental data and a universal function [A. Z. Msezane and I. A. Sakmar, Phys. Rev. A 49, 2405 (1994)], which can extrapolate the generalized oscillator strength through the nonphysical region to {ital K}{sup 2} (momentum transfer squared) =0, have been used in the calculation. A better agreement between theoretical results and experimental data has been achieved by using the universal function in the range of small scattering angles ({theta}{lt}10{degree}). The results show that the extrapolation used by experimentalists underestimated the differential cross sections (DCS`s) at small scattering angles. Our calculation suggests that the universal function can be used to extrapolate the DCS for the electronmolecule scattering down to 0{degree} at high energy.},
doi = {10.1103/PhysRevA.51.3745},
journal = {Physical Review A},
number = 5,
volume = 51,
place = {United States},
year = {1995},
month = {5}
}