Journal of Physics B: Atomic and Molecular Physics
The vibrational excitation and dissociation probabilities of H2 in a collinear collision with He are calculated, using the semi-classical time-dependent method along with the accurate H2 molecular potential of Kolos and Wolniewicz (1965, 1968). The complete set of bound and continuum eigenfunctions are represented in terms of a truncated basis set of harmonic oscillator functions. The results differ significantly from the Morse potential quantum mechanical calculations of Clark and Dickinson (1973). In addition, a state-dependent interaction potential is suggested to allow for the different average sizes of the H2 molecule in its initial and final states. The state dependent potential greatly enhances the transition probabilities to highly excited states and the continuum.
Drake, Gordon W. F. and Lin, C. S.. (1974). Semiclassical study of the vibrational excitation of H2 in collision with He. Journal of Physics B: Atomic and Molecular Physics, 7 (3), 398-405.