A route to inversion for rotational collisions using hard shape potentials Original Research Article

The collision energy and the semiaxes of the hard ellipsoid are related by an analytical expression to obtain the parameters K, and either the range of the potential, α, or the anisotropy of the potential, δ, for the potential model V(r, θ) = Ke−αr(1 + δ2cos2θ). The hard shape theory has been used to optimize the semiaxes of the ellipsoid by fitting cross sections to quantum results. This inversion procedure showed an average error of 7% in the α or δ parameter and about 15% in the K parameter.