The quantum scattering dynamics calculation was carried out for the titled reaction in the collision energy range of 0.0-2.4 eV with reactant H 2 + in the rotational state j = 1 and vibrational states v = 0-2, 4, and 6. The present time-dependent wave-packet calculation takes into account the Coriolis coupling ͑CC͒ and uses the accurate ab initio potential-energy surface of Palmieri et al. ͓Mol. Phys. 98, 1835 ͑2000͔͒. The importance of including the CC quantum scattering calculation has been revealed by the comparison between the CC calculation and the previous coupled state ͑CS͒ calculation. The CC total cross sections for the v = 2, 4, and 6 states show collision energy-dependent behaviors different from those based on the CS calculation. Furthermore, the collision energy dependence of the total cross sections obtained in the present CC calculation only exhibits minor oscillations, indicating that the chance is slim for reactive resonances in total cross sections to survive through the partial-wave averaging. The magnitude and profile of the CC total cross sections for v = 0-2 in the collision energy range of 0.0-2.5 eV are found to be consistent with experimental cross sections obtained recently by Tang et al. ͓J. Chem. Phys. 122, 164301 ͑2005͔͒ after taking into account the experimental uncertainties.