Laser driven production of antimatter molecules

Recent years have seen marked progress in the production of, and experimentation with, atomic antimatter in the form of antihydrogen, $\overline{\rm H}$. Now we investigate the feasibility of producing the anti-molecular hydrogen anion, $\overline{{\rm H}}_2^-$ (consisting of two anti-protons and a positron), in the laboratory. Utilizing reaction rates calculated here and from the literature, key processes are identified that could lead to anion production. The feasibility of these reactions are discussed in the context of present day and near future experimental capabilities.