Vibrationally resolved capture cross section in p + H2 collision

The electron-capture process p + H-2 -> H(1s) + H-2(+) (1s sigma) is described using distorted-wave-Born models by considering the influence of the vibrational motions of H-2 and H-2(+) within the framework of the Born-Oppenheimer approximation. Non-dissociative and dissociative capture cross sections are calculated for incident proton energies E-C = 20-300 keV. The vibrational distribution of H-2(+) (1s sigma) is compared with that of the Franck-Condon factor. They are in fairly good agreement for E-C < 100 keV, and discrepancies arise for higher E-C.