Elastic, inelastic and charge exchange differential cross sections are calculated for He+(1s)+H(1s) collisions, in the energy range 1.5 keV<or=E<or=25 keV, using a 15-state molecular treatment, modified with an optimized translation factor. The authors compare their results with previous theoretical and experimental data. Agreement with the latter is, in general, quite good, with the important exception of elastic cross sections.