Semiclassical Phase Shifts for Low-Energy ``Orbiting'' Collisions

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Abstract
A semiclassical expression for the phase shift in the literature which is applicable even when a maximum exists in the effective potential is re‐expressed in terms of the simple JWKB phase integrals. This expression is employed to calculate phase shifts from tables of reduced functions for a Lennard‐Jones (12–6) potential. These semiclassical calculations are compared with published exact values; excellent qualitative and good quantitative agreement is obtained. Finally, the qualitative nature of the quantal corrections to the classical total and differential cross sections and the collision lifetime is discussed.

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