Elastic Scattering of Muonic Hydrogen Atoms Against Protons: Status of Experiments

Author(s):  
A. Bertin

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.


Calculations have been made using the central-field, exchange and exchange-polarization approximations. In agreement with previous work it is found that the wave functions are profoundly modified by inclusion of exchange. The exchange radial equations are solved by numerical integration and by variational methods; consideration of the form of the equations for moderately large radial distances suggests an improved two-parameter trial function which is found to give satisfactory results. Polarization, i. e. the inclusion of the interelectronic distance r 12 in the trial function, is much more important for the symmetric than for the anti-symmetric case. A symmetric exchange-polarization trial function is obtained which appears more satisfactory than those previously employed. It may be hoped that the final result for the zero-energy elastic scattering cross-section, Q (0) = 5·76 x 10 -15 cm 2 , is correct to within about 15%.


1993 ◽  
Vol 48 (3) ◽  
pp. 465-468
Author(s):  
V. M. Chhaya ◽  
J. J. Tarwadi ◽  
Smita Chhag

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.


1986 ◽  
Vol 4 (2) ◽  
pp. 153-160 ◽  
Author(s):  
A. Adamczak ◽  
V. S. Melezhik ◽  
L. I. Menshikov

1983 ◽  
Vol 27 (6) ◽  
pp. 2876-2880 ◽  
Author(s):  
J. N. Das ◽  
P. K. Bhattacharyya

1971 ◽  
Vol 26 (3) ◽  
pp. 575-584
Author(s):  
H. Stiller ◽  
T. Springer

Abstract Investigations on motions of hydrogen atoms in metals, on rotational diffusion in molecular solids and on fluctuations of protons at hydrogen bonds are reviewed as examples for experiments with incoherent neutron scattering requiring high resolution.


2006 ◽  
Vol 41 (3) ◽  
pp. 493-497 ◽  
Author(s):  
A. Adamczak ◽  
J. Gronowski

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