  Electron elastic scattering off a spin-polarized Cr(...$3d^{5}4s^{1}$,
$^{7}S$) atom is theoretically studied in the region of electron energies up to
$15$ eV using both a one-electron "spin-polarized" Hartree-Fock and
multielectron "spin-polarized" random phase approximation with exchange. It is
found that scattering phase shifts of oppositely spin-polarized incoming
electrons and corresponding cross sections of the scattering reactions
significantly differ from each other, in general, even without accounting for
spin-orbit interaction. This is shown to be associated with the presence of two
semifilled $3d^{5}$ and $4s^{1}$ subshells in the Cr's configuration which
induce considerably different exchange in the interaction of oppositely
spin-polarized incoming electrons with the atom-target. The importance of
electron correlation in $e^{-}+\rm Cr$ elastic scattering process is revealed.
Moreover, correlation is shown to induce strong differences between scattering
of oppositely spin-polarized electrons off Cr. A physically transparent
interpretation for the latter is provided.
