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We present the non-adiabatic, conical-intersection quantum dynamics of the title collision where reactants and products are in the ground electronic states. Initial-state-resolved reaction probabilities, total integral cross sections, and rate constants of two H 2  vibrational states,  v  0  = 0 and 1, in the ground rotational state ( j  0  = 0) are obtained at collision energies  E  coll  ≤ 3 eV. We employ the lowest two excited diabatic electronic states ofHeH    2    +and their electronic coupling, a coupled-channel time-dependent real wavepacket method, and a flux analysis. Both probabilities and cross sections present a few groups of resonances at low  E  coll , whose amplitudes decrease with the energy, due to an ion-induced dipole interaction in the entrance channel. At higher  E  coll , reaction probabilities and cross sections increase monotonically up to 3 eV, remaining however quite small. When H 2  is in the  v  0  = 1 state, the reactivity increases by ~2 orders of magnitude at the lowest energies and by ~1 order at the highest ones. Initial-state resolved rate constants at room temperature are equal to 1.74 × 10 −14  and to 1.98 × 10 −12  cm 3 s −1  at  v  0  = 0 and 1, respectively. Test calculations for H 2  at  j  0  = 1 show that the probabilities can be enhanced by a factor of ~1/3, that is  ortho- H 2  seems ~4 times more reactive than  para- H 2 .

Non-adiabatic Quantum Dynamics of the Dissociative Charge Transfer He++H2 → He+H+H+