Analytic formula for charged particle impact ionization cross-section

2010 ◽  
Vol 88 (12) ◽  
pp. 905-910 ◽  
Author(s):  
Mohammed Sahlaoui ◽  
Mammar Bouamoud
Keyword(s):  
Charged Particle ◽  
Cross Section ◽  
Impact Ionization ◽  
Analytical Formula ◽  
Analytic Form ◽  
Particle Impact ◽  
Coulomb Wave Function ◽  
Computationally Efficient ◽  
Ionization Cross ◽  
Triple Differential Cross Section

We derive an analytical formula for the first Born approximation amplitude for the ionization of general neutral atomic targets by charged particle impact. An orthogonalized Coulomb wave function is used to describe the ejected electron. The triple differential cross-section is written in a computationally efficient analytic form.

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.

Electron-Impact Ionization Cross Section of Ions

1969 ◽  
Vol 184 (1) ◽  
pp. 242-244 ◽  
Author(s):  
K. C. Mathur ◽  
A. N. Tripathi ◽  
S. K. Joshi
Keyword(s):  
Electron Impact ◽  
Cross Section ◽  
Ionization Cross Section ◽  
Impact Ionization ◽  
Electron Impact Ionization ◽  
Ionization Cross

Near-threshold electron-impact ionization cross section for sulfur atoms

2007 ◽  
Vol 76 (3) ◽  
pp. 521-523
Author(s):  
F.F. Chipev ◽  
A.A. Borovik ◽  
I.V. Chernyshova ◽  
J.E. Kontros ◽  
O.B. Shpenik
Keyword(s):  
Electron Impact ◽  
Cross Section ◽  
Ionization Cross Section ◽  
Impact Ionization ◽  
Electron Impact Ionization ◽  
Ionization Cross ◽  
Near Threshold
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