title: Threshold law for attractive inverse-cube interactions.
abstract: For scattering by potentials with attractive inverse-cube (-C3/r3) tails, the threshold law for elastic collisions is presented. The expansion of the scattering phase shift contains all terms up to and including O(k2) and only relies on the value of the threshold quantum number's remainder Δ∈[0,1), which accounts for short-range deviations of the full potential from the pure -C3/r3 form. In contrast to previous approaches, the threshold law presented provides a connection to the regular solution at zero energy as well as to the position of a weakly bound s-wave state.
authors.affiliation: Physik Department, Technische Universität München, D-85747 Garching, Germany. tim-oliver.mueller@ph.tum.de
authors.forename: Tim-Oliver
authors.initials: TO
authors.lastname: Müller