  Total cross sections for Sigma- and pi- on beryllium, carbon, polyethylene
and copper as well as total cross sections for protons on beryllium and carbon
have been measured in a broad momentum range around 600GeV/c. These
measurements were performed with a transmission technique adapted to the SELEX
hyperon-beam experiment at Fermilab. We report on results obtained for
hadron-nucleus cross sections and on results for sigma_tot(Sigma- N) and
sigma_tot(pi- N), which were deduced from nuclear cross sections.
