Indirect dissociative recombination of LiH${}_2^{+}$ + e${}^{-}$

We present the results of calculations determining the cross sections for indirect dissociative recombination of LiH${}_2^{+}$ + $e^{-}$. These calculations employ multichannel quantum defect theory and Fano’s rovibrational frame transformation technique to obtain the indirect DR cross section in the manner described by Ref.\cite{hamilton}. We use $\mathit{\text{ab}}\mathit{\text{initio}}$ electron-molecule scattering codes to calculate quantum defects. In contrast to H${}_3^{+}$, the LiH${}_2^{+}$ molecule exhibits considerable mixing between rotation and vibration; however, by incorporating an exact treatment of the rovibrational dynamics of the LiH${}_2^{+}$, we show that this mixing has only a small effect on the observed DR rate. We calculate a large DR rate for this cation, 4.0 $\times$ 10${}^{-7}$ cm${}^3$ s${}^{-1}$ at 1 meV incident electron energy.