We study the elastic scattering of positronium atoms by hydrogen atoms at m
edium energies using partial-wave Born-Oppenheimer (BO) exchange amplitudes
and report accurate BO cross sections in the energy range 0 to 60 eV. The
present BO results agree with a 22-state R-matrix and a five-state coupled-
channel model potential calculation, but disagree strongly with a conventio
nal close-coupling calculation as well as its input BO amplitudes at medium
energies.