A New Time-Dependent Scattering Theory: Application to the Capture of Antiprotons by Hydrogen Atoms and Helium Atoms

2008 ◽  
Author(s):  
X. M. Tong ◽  
K. Hino ◽  
N. Toshima ◽  
Yasuyuki Kanai ◽  
Yasunori Yamazaki
Keyword(s):  
Scattering Theory ◽  
Time Dependent ◽  
Hydrogen Atoms ◽  
Helium Atoms ◽  
Theory Application ◽  
New Time

The elastic scattering of fast electrons and positrons by hydrogen and helium atoms

1959 ◽  
Vol 250 (1262) ◽  
pp. 337-345 ◽  
Keyword(s):  
Elastic Scattering ◽  
Cross Sections ◽  
Differential Cross ◽  
Born Approximation ◽  
Logarithmic Singularity ◽  
Hydrogen Atoms ◽  
Fast Electrons ◽  
Helium Atoms ◽  
Electrons And Positrons ◽  
Angle Scattering

A simplification of the second Born approximation due to Massey & Mohr is used to calculate the differential cross-sections for the elastic scattering of fast electrons and fast positrons by hydrogen atoms and helium atoms, the method of Dalitz being applied to evaluate all the relevant integrals. Although the logarithmic singularity which is found in the differential cross-section for zero-angle scattering is shown to be absent in the true second Born approximation the use of the simplification of this approximation is justified at sufficiently high impact energies provided the angle of scattering is not too small. The results of the calculations for incident electrons in helium are compared with the available experimental data.

Elastic Scattering of Electrons by Helium Atoms at Intermediate Energies

1993 ◽  
Vol 48 (3) ◽  
pp. 465-468
Author(s):  
V. M. Chhaya ◽  
J. J. Tarwadi ◽  
Smita Chhag
Keyword(s):  
Elastic Scattering ◽  
Energy Range ◽  
Cross Sections ◽  
Differential Cross ◽  
Hydrogen Atoms ◽  
Helium Atoms ◽  
Intermediate Energies ◽  
Born Series ◽  
Electrons And Positrons ◽  
Theoretical Results

Abstract The unitarised Eikonal Born series (UEBS) method has been used successfully by Byron et al. for elastic scattering of electrons and positrons by hydrogen atoms. Here an attempt is made to apply the UEBS method in the case of elastic scattering of electrons by helium atoms. The total and differential cross sections are calculated for the energy range 100-700 eV. The results are compared with experimental and other theoretical results. It is found that the results obtained with the UEBS method agree best with the experimental results.

scholarly journals Time-dependent scattering theory on manifolds

2019 ◽  
Vol 277 (5) ◽  
pp. 1423-1468
Author(s):  
K. Ito ◽  
E. Skibsted
Keyword(s):  
Scattering Theory ◽  
Time Dependent
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