Characteristics of Local Pion–Nucleus Potentials That Are Equivalent to Kisslinger-Type Potentials

Abstract The Krell–Ericson transformation provides a local potential that is exactly equivalent to the nonlocal Kisslinger-type potential. The associated scattering wave functions are related by a Perey factor. We examine the properties of examples of these local potentials, based upon low-order multiple scattering theory, at energies ranging from 20 to 291 MeV. The radial shapes of the potentials may display considerable structure in the nuclear surface. The general characteristics of the local real potentials reproduce the five features identified by Friedman from his model-independent analysis of pion scattering data. The Perey factors show a simple, mostly monotonic, behavior.