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The scattering efficiencies for the zero-phonon and phonon branches associated with predicted new Raman transitions in solid HD are calculated. These transitions arise from the interaction-induced polarizability of a pair of molecules expressed in terms of the vector separation between the centers of mass, and satisfy different rotational selection rules from those of allowed Raman transitions. For single transitions in which only one molecule of the pair is excited by the incoming photon, one expects an R branch, while for double transitions in which both molecules are excited, one expects $R+S$ and $T+S$ branches. A previously obtained experimental Raman spectrum of solid HD does have spectral features similar in shape and intensity to those predicted for the $RR$ phonon branch, although this feature was tentatively assigned as a two-phonon Raman-active transition. We conclude that a new Raman study of solid HD carried out with higher sensitivity and over a greater frequency region would be of interest to determine the correct assignment of this feature.