VisualizingStereodynamics in Cold Collisions throughShape Resonance Wavefunctions

Shape resonances in cold collisions are often strongly affected by stereodynamics. These resonances can sometimes be assigned by single-channel quantization along the scattering coordinate. However, sensitive steric control of collision implies strong anisotropy of the interaction potential energy surface, which usually leads to coupling among multiple scattering channels in the strongly interacting region. Hence, the resonances might be the result of quantization in a multidimensional space. Using the cold rotationally inelastic collision between <i>para</i>-H₂ (<i>v</i>₁ = 1, <i>j</i>₁ = 2) and HF (<i>v</i>₂ = 0, <i>j</i>₂ = 0) as an example, we analyze four low-lying shape resonances via diagonalization of the full-dimensional Hamiltonian with a stabilization method. While some resonances can indeed be assigned with a single partial wave, others apparently involve more than one scattering channel. A new model based on these resonance wavefunctions is developed to better understand the stereodynamics through shape resonances in cold collisions.