An inversion procedure to recover the intermolecular potentials from low-energy (4-14 eV) differential scattering data for the systems HeH', NeH', ArH, and KrH' is presented. The first step in this procedure is to construct the phase shifts (t)(f)) from the experimental differential cross section 0(8) and, for reasons of intuition, the corresponding classical deflection function. This is accomplished by employing a new technique developed recently by Remler which involves singularities in the S matrix. The Remler method is as accurate as, but less cumbersome than, the frequently employed standard partial-wave sum and in addition leads to an intuitive connection between t)(l) and o(8). Having found (n(f)), the inter molecular potential may be determined by means of the transformation method of Vollmer.To test the entire inversion procedure, the intermolecular potential obtained from the H +He scattering data is compared to the ab initio calculation by Wolniewicz of the ground-state potential for HeH'. This method should be applicable to any spherically symmetric scattering system.

No abstract

No abstract