Analytical formula for electron-impact ionization cross section in the one Coulomb wave model

2014 ◽  
Vol 92 (2) ◽  
pp. 136-140 ◽  
Author(s):  
Mohammed Sahlaoui ◽  
Boumediene Lasri ◽  
Mammar Bouamoud
Keyword(s):  
Electron Impact ◽  
Cross Section ◽  
Impact Ionization ◽  
Analytical Formula ◽  
Transition Amplitude ◽  
Wave Model ◽  
Triple Differential Cross Section ◽  
Mathematical Techniques ◽  
The One ◽  
Direct Term

In the framework of the one Coulomb wave model, an analytical formula is derived for the triple differential cross section for the ionization of atomic target by electron impact. Both the direct and exchange terms of the transition amplitude are considered. The exchange term is calculated in the present work. However, the direct term is deduced from our previous work (Sahlaoui and Bouamoud. Can. J. Phys. 88, 905 (2010)). The obtained results can be used to compute the transition amplitude defined in others models, as for example, the distorted wave Born approximation and the Coulomb two-wave model. The mathematical techniques developed here can be also used to compute other complicated integrals that can be encountered in atomic physics and quantum chemistry.

Cross sections for electron-impact ionization of water molecules

2011 ◽  
Vol 89 (6) ◽  
pp. 723-727 ◽  
Author(s):  
Mohammed Sahlaoui ◽  
Mammar Bouamoud
Keyword(s):  
Electron Impact ◽  
Cross Sections ◽  
Impact Ionization ◽  
Transition Amplitude ◽  
Wave Model ◽  
Electron Impact Ionization ◽  
Water Molecules ◽  
Good Precision ◽  
High Incident Energy ◽  
Ionization Of Water

Theoretical triple differential cross sections for the electron-impact ionization of water molecules at high incident energy are presented. The results are derived using an analytical expression for the transition amplitude in the framework of the one Coulomb wave model. For accurate comparison with experiments, an average of the cross sections on the random orientations of the target has been used. The comparison of our results with the available experimental measurements shows that our formalism is able to describe the water molecule ionization process with good precision. The present approach can be used to describe the ionization of other molecular targets with chemical form XHn by other charged particles.

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