Analyses of {pi}{sup {+-}-40}Ca Elastic Scattering Data in the Delta Resonance Region using Inverse Scattering Theory and the Klein-Gordon Equation

The elastic scattering cross sections for {pi}{sup +} by {sup 40}Ca have been analyzed, for the first time, using the Klein-Gordon (KG) equation that incorporates the Coulomb interaction between the charged pions and targets explicitly for the incident energies of 163.3 and 180 MeV. The nuclear part of the potentials is determined using an inverse scattering theory as a guide. Our results are then compared to those where the Coulomb potential has not been explicitly included in the KG equation but its effect is studied by modifying the incident kinetic energy following the prescription of Stricker. Our calculations that include the Coulomb potential in the KG equation reproduce the results using the Stricker prescription for {pi}{sup +}. The Stricker method is then used to calculate {pi}{sup -} scattering. In all cases, the data have been well accounted for.