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Analytical Representation of Total Cross-Sections for Electron Atom Scattering: Application to Atomic Helium

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Mansouri A., Houamer S., Moulay M.
Acta Physica Polonica A
|
2003
|
vol. 104
|
issue 1
25-34
EN
Based on the series expansion formalism, an analytical approach is proposed to evaluate the total cross-sections induced by electron impact excitation. As an illustration, an analytical expression of the total cross-section of the double excitation of helium atom by electron impact is obtained for the 2p^2 ^3P and 2p3p ^1P transitions within the framework of the distorted wave Born approximation. The available experimental data are well reproduced by the obtained expression of the total cross-section which is function of the only parameter of the incident electron energy. Comparisons are also made with numerical calculations.
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