Very-low-energy scattering of orthopositronium by helium has been investiga
ted for the simultaneous study of elastic cross section and pickoff quenchi
ng rate using a model exchange potential. The present calculational scheme,
while it agrees with the measured cross section of Skalsey et nl., reprodu
ces successfully the parameter (1)Z(eff), the effective number of electrons
per atom in a singlet state relative to the positron. Together with the fa
ct that this model potential also leads to an agreement with measured mediu
m energy cross sections of this system, this study seems to resolve the lon
g-standing discrepancy at low energies among different theoretical calculat
ions and experimental measurements.