The energy loss processes at work in a recently proposed new mechanism for the acceleration of protons in the accretion columns of X-ray binaries are considered here in more detail. It is found that the spectrum is modified somewhat, but not drastically, and interesting fl-ray fluxes are obtained for the Her X-1 system. 1 Introduction In the last few years, interest has waned somewhat in X-ray binaries amongst the high-energy gamma-ray community. Nevertheless, there remain some striking unexplained observations of fl-ray emission above 100 GeV from this class of objects, Cyg X-3 and Her X-1 in particular. Recently, a new mechanism to explain the acceleration of protons to energies above 100 TeV in the accretion columns of X-ray binaries was proposed, using Her X-1 as a prototype . The advantages of this acceleration mechanism are that energy gain takes place away from the base of the accretion column, where the energy loss rates are very high, and the accelerated protons emerge in ..