A semiclassical series solution of the generalized phase shift atom–diatom scattering equations

A semiclassical series solution of the previously developed operator form of the generalized phase shift equations describing atom–diatom scattering is presented. This development is based on earlier work which led to a double series in powers of Planck’s constant and a scaling parameter of the anisotropic portion of the intermolecular potential. The present solution is similar in that it is a double power series in Planck’s constant and in the difference between the spherical radial momentum and a first order approximation. The present series solution avoids difficulties of the previous series associated with the classical turning point.