Differential and Total Cross-Sections for Elastic Scattering of Electrons by Cadmium Atoms

The differential cross sections (DCS’s), and total cross sections (TCS’s) for the elastic scattering of electrons from Cadmium atoms in the energy range of (6.4-300) eV are calculated using the relativistic Dirac equations within partial wave analysis by using an optical-model potential. The optical potential used in this paper consist of many interactions. The electrostatic interaction is determined from the Dirac-Hartree-Fock self-consistent atomic electron density, the exchange interaction is described by means of the local-approximation of Furness and McCarthy. The correlation-polarization potential is obtained by combining the correlation potential of perdew and wang derived from the local density approximation with a long-range polarization interaction, which is represented by means of a Buckingham potential with an empirical energy dependent cutoff parameter. This model shows , a good agreement with the experimental measurements and the available theoretical results of other investigators.

Keywords: Relativistic, Scattering, Cadmium, Dirac equation

The differential cross sections (DCS’s), and total cross sections (TCS’s) for the elastic scattering of electrons from Cadmium atoms in the energy range of (6.4-300) eV are calculated using the relativistic Dirac equations within partial wave analysis by using an optical-model potential. The optical potential used in this paper consist of many interactions. The electrostatic interaction is determined from the Dirac-Hartree-Fock self-consistent atomic electron density, the exchange interaction is described by means of the local-approximation of Furness and McCarthy. The correlation-polarization potential is obtained by combining the correlation potential of perdew and wang derived from the local density approximation with a long-range polarization interaction, which is represented by means of a Buckingham potential with an empirical energy dependent cutoff parameter. This model shows , a good agreement with the experimental measurements and the available theoretical results of other investigators.

Anahtar Kelimeler: Relativistic, Scattering, Cadmium, Dirac equation

Page Range: 213-222

Hussain, A. H., Yassir, A. K. & Ali, F. A. (2022). Differential and Total Cross-Sections for Elastic Scattering of Electrons by Cadmium Atoms. Journal of Current Research on Engineering, Science and Technology, 8 (2), 213-222.