Finding the Potential Directly from Scattering Data

Abstract

I show how to obtain reduced phase variables from the interference structure in elastic scattering. One such curve contains nearly all of the information which may be found from the positions of the supernumerary and glory structure (even though the energy and angle are varied independently in the data). I show that this information is insufficient to determine the deflection function (and hence the potential) uniquely unless additional information is utilized. Three methods are presented for determining the deflection function from the data without the use of parametrized models. The discussion is generalized to the case of resonant exchange.