scholarly journals Resonance in the Elastic Scattering with Exchange of Slow Electrons by Helium Atoms

1969 ◽  
Vol 42 (5) ◽  
pp. 993-1002 ◽  
Author(s):  
Yukikazu Itikawa ◽  
Takashi Ohmura ◽  
Kazuo Takayanagi
1970 ◽  
Vol 43 (6) ◽  
pp. 1624a-1624a
Author(s):  
Yukikazu Itikawa ◽  
Takashi Ohmura ◽  
Kazuo Takayanagi

The variational method of Hulthèn has been applied to the elastic scattering of slow electrons by helium atoms, the effect of exchange being taken into account in calculating the zero-order phase shift. Satisfactory agreement has been obtained with the results given by numerical integration of the integro-differential equation determining the scattering when the total wave function is taken to be completely antisymmetric. Even at very low electron energies (0·04 eV) the agreement with experiment is good.


1963 ◽  
Vol 30 (6) ◽  
pp. 918-919 ◽  
Author(s):  
Tasuke Hashino ◽  
Hidehiko Matsuda

1983 ◽  
Vol 16 (10) ◽  
pp. 1819-1825 ◽  
Author(s):  
F Kemper ◽  
B Awe ◽  
F Rosicky ◽  
R Feder

1990 ◽  
Vol 68 (1) ◽  
pp. 104-110 ◽  
Author(s):  
B. Plenkiewicz ◽  
P. Plenkiewicz ◽  
J.-P. Jay-Gerin

Our earlier pseudopotential calculations on electrons colliding with argon and krypton are extended to consider the elastic electron–helium scattering system. In this paper, we present detailed results for phase shifts, differential, total, and momentum-transfer cross sections for this system for incident electron energies in the range from 0 to 20 eV. These agree very well with existing experimental data and with other theoretical calculations.


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.


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