The two-state Stueckelberg-Landau-Zener theory of curve crossings can be utilized to explain qualitatively many of the observed asymmetric-inelastic total cross sections. It predicts not only a broad maximum in the inelastic total cross sections as a function of velocity, but also a rapid rise to this maximum followed by a slow decline past the maximum. If the difference in the potentials between the two states possesses an extremum, oscillations superimposed upon the general velocity dependence of the inelastic total cross sections may also be expected because of the existence of a stationary phase. At high velocities, the spacing of these oscillations will be proportional to ${v}^{\ensuremath{-}1}$.
A measurement is reported of the velocity dependence of the total cross section for Yb optical radiator-Xe perturber collisions in which the active atom is in a superposition of dissimilar (S and P) states. The total cross section is found to vary with relative velocity in a simple manner, consistent with van der Waals scattering as the dominant interaction for this nonclassical system.