Exact quantum and semiclassical calculation of the positions and residues or Regge poles for interatomic potentials

Abstract

Semiclassical and exact quantum methods have been used to calculate the positions and residues of Regge poles for two interatomic potentials. A Lennard-Jones (6,4) potential with parameters approximating H+-Ar collisions and a Lennard-Jones (12,6) potential with parameters approximating the elastic scattering of K by HBr have been used. There is good agreement between the semiclassical and quantum calculations both for the pole positions and modulus and phase of the residues. Some properties of Regge trajectories for the Lennard-Jones (12,6) potential are also investigated.