Antiproton scattering off \(^3\He\) and \(^4\He\) targets is considered at beam
energies below 300 MeV within the Glauber-Sitenko approach, utilizing the \(\bar
N N\) amplitudes of the J\"ulich model as input. A good agreement with available
data on differential \(\bar p ^4\He\) cross sections and on \(\bar p ^3\He\) and
\(\pbar ^4\He\) reaction cross sections is obtained. Predictions for polarized
total \(\bar p ^3\)He cross sections are presented, calculated within the
single-scattering approximation and including Coulomb-nuclear interference
effects. The kinetics of the polarization buildup is discussed.