Analytical Representation of Total Cross-Sections for Electron Atom Scattering: Application to Atomic Helium
A. Mansouria, S. Houamera and M. Moulayb
aDepartement de physique - Faculte des sciences Universite Ferhat Abbas, Setif, Algeria
bCRNA 2, Bd Frantz Fanon, B.P. 399, Alger-gare, Algeria
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Received: July 30, 2002; revised version April 29, 2003
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 2p2 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.
DOI: 10.12693/APhysPolA.104.25
PACS numbers: 31.15.-p, 02.70.-c