Truhlar, Donald G. and Rice, James K. and Kuppermann, Aron and Trajmar, S. and Cartwright, D. C. (1970) Differential and integral cross sections for excitation of the 2(1)P state of helium by electron impact. Physical Review A, 1 (3). pp. 778802. ISSN 10502947. http://resolver.caltech.edu/CaltechAUTHORS:TRUpra70

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Abstract
Differential scattering cross sections for excitation of helium by electron impact from its ground state to its 21P excited state have been measured at four incident electron energies in the range 2655.5 eV for scattering angles between 10° and 70°, and at 81.6 eV for scattering angles between 10° and 80°. These differential cross sections have been placed on an absolute scale by normalizing them to the experimental absolute integral cross sections of Jobe and St. John. These experimental differential and integral cross sections have been compared with the results predicted by the Born approximation, and by several other firstorder approximations in which direct excitation is calculated in the Born approximation and exchange scattering by various Ochkurlike approximations. The calculations provide reliable tests of these scattering theories since they are made using the accurate generalized oscillator strengths of Kim and Inokuti. As expected, these firstorder theories are poor near threshold and exchange is important at high scattering angles for all energies. Further, the absolute magnitude of the calculated integral and smallangle differential cross sections is too large and is within 50% of experiment only at energies greater than 80 eV. These firstorder models are in qualitative agreement with the experimental angular dependence at 3481.6 eV for scattering angles between 10° and 40°. At higher scattering angles (corresponding to momentum transfers greater than about 1.6 a.u.), the calculated differential cross sections fall well below the experimental ones. The phase between the direct and exchange scattering amplitudes was found to be important at all energies, and is apparently not predicted correctly by any of the firstorder models examined here. Some approximations for the exchange (e.g., Ochkur approximation and the post interaction form of the OchkurRudge approximation) were found to be better for integral cross sections and some (e.g., prior OchkurRudge approximation) were better for differential cross sections. The use of good analytic selfconsistentfield (SCF) wave functions for both the ground and excited states was tested by computing generalized oscillator strengths from them and comparing these results with the calculations using the accurate generalized oscillator strengths. The SCF functions yield differential cross sections in quantitative disagreement (20%) with the accurate results, although the energy and angle dependence of the cross sections is predicted qualitatively correctly.
Item Type:  Article 

Additional Information:  ©1970 The American Physical Society. Received 16 June 1969; revised 31 October 1969. We thank Dr. Walter Williams for his help in taking the 81.6eV experimental data. 
Record Number:  CaltechAUTHORS:TRUpra70 
Persistent URL:  http://resolver.caltech.edu/CaltechAUTHORS:TRUpra70 
Alternative URL:  http://dx.doi.org/10.1103/PhysRevA.1.778 
Usage Policy:  No commercial reproduction, distribution, display or performance rights in this work are provided. 
ID Code:  3213 
Collection:  CaltechAUTHORS 
Deposited By:  Tony Diaz 
Deposited On:  22 May 2006 
Last Modified:  26 Dec 2012 08:53 
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