Calculation of He+H$_2$ cross-sections using slow variable discretization enhanced renormalized Numerov propagator method

Collisional quenching is an important process in the trapping of diatomic molecules, which has attracted interest due to recent efforts to form molecular Bose-Einstein condensates, for example. We apply the slow variable discretization enhanced renormalized Numerov method to calculate elastic and inelastic cross-sections for the He+H$_2$ system, using the Muchnick-Russek HeH$_2$ potential energy surface [1]. Such calculations are inherently technically difficult, due to the large number of H$_2$ bound states involved, and the large scattering energy range used in the calculations. \\[4pt] [1] P. Muchnick and A. Russek, J. Chem. Phys. {\bf100}, 4336 (1994).