Elastic scattering of relativistic electrons by screened atomic nuclei

Shin R. Lin, Noah Sherman, Jerome Percus

Research output: Contribution to journalArticle

Abstract

The effect of screening by atomic electrons on the scattering of relativistic electrons by heavy atoms has been computed numerically using different screening models. Exponential and Hartree potentials were used to simulate the screening. The asymmetry factor S(θ) and the differential scattering cross section d σ(θ) dΩ were computed at 15 degree intervals from 15° to 165°. We report here the results for (a) 121 keV electrons scattered by gold, Z = 79, using two exponential potentials of different range, (b) 79 keV (v/c = 0.5) electrons scattered by mercury, Z = 80, using exponential and Hartree fields, (c) 46 keV ( v c = 0.4) electrons scattered by mercury as in (b). The asymmetry factor S(θ) and dσ dΩ(θ) were computed using a partial wave expansion in which the phase shifts were obtained both by numerical integration of a suitably transformed Dirac radial equation and also computed in WKB approximation. The results are compared with corresponding calculations for the Coulomb field. In general the differences are no more than a few percent, but below 30° the screened field cross-sections are as much as 50% smaller.

Original languageEnglish (US)
Pages (from-to)492-504
Number of pages13
JournalNuclear Physics
Volume45
Issue numberC
StatePublished - Jul 1963

Fingerprint

elastic scattering
nuclei
screening
electrons
asymmetry
Wentzel-Kramer-Brillouin method
numerical integration
elastic waves
scattering cross sections
phase shift
gold
intervals
cross sections
scattering
atoms

Cite this

Lin, S. R., Sherman, N., & Percus, J. (1963). Elastic scattering of relativistic electrons by screened atomic nuclei. Nuclear Physics, 45(C), 492-504.

Elastic scattering of relativistic electrons by screened atomic nuclei. / Lin, Shin R.; Sherman, Noah; Percus, Jerome.

In: Nuclear Physics, Vol. 45, No. C, 07.1963, p. 492-504.

Research output: Contribution to journalArticle

Lin, SR, Sherman, N & Percus, J 1963, 'Elastic scattering of relativistic electrons by screened atomic nuclei', Nuclear Physics, vol. 45, no. C, pp. 492-504.
Lin, Shin R. ; Sherman, Noah ; Percus, Jerome. / Elastic scattering of relativistic electrons by screened atomic nuclei. In: Nuclear Physics. 1963 ; Vol. 45, No. C. pp. 492-504.
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