Electron elastic scattering off high spin atoms: the Cr and Mn case

The Cr(...$3d^{5}$$4s^{1}$, $^{7}S$) and Mn(...$3d^{5}$$4s^{2}$, $^{6}S$) atoms belong to the cohort of high spin atoms, owing to their semifilled $3d^{5}$ and $4s^{1}$ (in Cr) subshells. The current understanding of low-energy electron scattering off such atoms is rudimentary. Here, we scrutinize the impacts of electron correlation, exchange, and electron spin-polarization on elastic scattering phase shifts and total cross sections of $\rm e^{-}$ $+$ Cr and $\rm e^{-}$ $+$ Mn scattering, as well as Wigner time delays of the scattering processes in question, in the electron energy interval where most interesting effects occur, $E= 0$--$15$ eV. We also provide an update to our earlier calculated results for $\rm e^{-}$ $+$ Mn scattering [1]. The findings of this work identify some of the most intrinsic properties of electron elastic scattering off semifilled shell atoms. As in [1], a ``spin-polarized'' Hartree-Fock approximation, random phase approximation with exchange, and the Dyson theory for the self-energy part of the Green function of a scattered electron have been blended in together in order to advance into the understanding of electron scattering off semifilled shell atoms.\\[4pt] [1] V. K. Dolmatov, M. Ya. Amusia, and L. V. Chernysheva, Phys. Rev. A \textbf{88} 042706 (2013).