Analyses of Elastically Scattered Charged Pions from 40Ca At 50mev

The data of differential cross sections for elastically scattered charged pions from 40Ca have been analyzed using a simple local optical potential for 50, 65, and 80 MeV incident energies. The nature of these potentials has been determined first by using the available phase shifts and an inverse scattering theory to determine their forms at the tail region using the Klein–Gordon equation and then adjusting its parameters. The Coulomb effects are incorporated by using Stricker’s prescription. The study establishes that the real part of the nuclear potential for π+ and π− is the same at these three energies. The success of this approach, especially in this intermediate energy region, which represents a transition region between resonance and very low-energy regions, provides a strong argument for extending this study at other energies for Ca-target and for other nuclear targets.