Scattering of electrons and positrons from aluminum isonuclear series

Abstract

The current study investigates the scattering of electrons and positrons from aluminum isonuclear series within the framework of the Dirac relativistic partial wave analysis. For the neutral aluminum atoms, the scattering phenomena are described by employing a short-range complex optical potential. For the ionic series, on the other hand, this potential is supplemented by the Coulomb potential. The calculations are reported for the differential cross-section, total cross-section, integrated elastic cross-section, inelastic cross-section, momentum transfer cross-section, viscosity cross-section, and total ionization cross-section over the energy range 1 eV ≤ E i ≤ 1 MeV. The Sherman function S and spin asymmetry parameters T and U are also predicted for the same scattering systems over the same energy range. In addition, for the first time, we report a systematic study of the critical minima in the differential cross sections as well as the associated maximum spin polarization points in the Sherman function. We also compute the inelastic, elastic, momentum transfer, viscosity and total mean free paths for the aforesaid scattering systems. The Coulomb glory effect, the amplification of elastic backscattering of electrons from positive ions, is examined throughout the ionic series of aluminum. A comparison of our results to the reported theoretical and experimental studies reveals a good consistency over the compared energy range. The present theoretical method is thus expected to be useful for the fast generation of accurate cross-sections needed in many areas of science, technologies, and industries.