  Molecular cooling is essential for studying the formation of sub-structure of
dissipative dark-matter halos that may host compact objects such as black
holes. Here, we analyze the reaction rates relevant for the formation,
dissociation, and transition of hydrogenic molecules while allowing for
different values of the physical parameters: the coupling constant, the proton
mass, and the electron mass. For all cases, we re-scale the reaction rates for
the standard molecular hydrogen, so our results are valid as long as the dark
matter is weakly coupled and one of the fermions is much heavier than the
other. These results will allow a robust numerical treatment of cosmic
structure, in particular for mini-halos for which molecular cooling is
important, in a dissipative dark matter scenario.
