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The HeH$^+$ cation undergoes dissociative recombination with a free electronto produce neutral He and H fragments. We present calculations using ab initioquantum defects and Fano's rovibrational frame transformation technique, alongwith the methodology of PRL 89, 263003 (2002), to obtain the recombination rateboth in the low-energy (1-300 meV) and high-energy (ca. 0.6 hartree) regions.We obtain very good agreement with experimental results, demonstrating thatthis relatively simple method is able to reproduce observed rates for bothindirect dissociative recombination, driven by rovibrationally autoionizingstates in the low-energy region, and direct dissociative recombination, drivenby electronically autoionizing Rydberg states attached to higher-energy excitedcation channels.

ab initio frame transformation calculations of direct and indirect dissociative recombination rates of HeH+ + e-