TOTAL CROSS SECTIONS FOR LOW ENERGY e$^+$ - He SCATTERING} P. Van Reeth and J.W. Humberston Department of Physics and Astronomy, University College London, Gower Street, London WC1E 6BT, UK The total cross section for e$^+$ - He scattering is evaluated using the Kohn variational method. Well converged results are obtained and compared with experiment. A significant step-like feature, which should be measurable experimentally, is found at the positronium formation threshold.