Analysis of peak areas in deep inelastic neutron scattering on a H2O/D2O mixture

In this paper we examine the standard procedure employed to obtain peak intensities from the experimental data of deep inelastic neutron scattering experiments. Our analysis is focussed on the hydrogen, deuterium and oxygen peaks observed in experiments on heavy water and the D2O/H2O equimolar mixture. As a result of our analysis we conclude that the usual procedure (based on a convolution formalism) introduces errors in the determination of the peak areas, and that the analysis must be based on an exact formalism, that was previously published. The present paper brings consequences on the quantitative results of recent publications