Resumen de Analyses of π^(±)-nucleus elastic scattering data at T_(π) = 50 MeV using a suggested scaling method
Zuhair F. Sheehadeh, Reham M. El-Shawaf
The data for elastically scattered charged pions from few nuclei, namely 16O, 28Si, 30Si, 32S, 34S, 40Ca, 43Ca, 56Fe, 58Ni, 64Ni and 90Zr have been analyzed by obtained potentials using a suggested scaling procedure. Originally the π^(±) -12C elastic scattering data at 50 MeV was nicely fitted by a parameterized simple local optical potential extracted from available phase shifts using inverse scattering theory. The potential parameters of the π^(±) -12C systems were scaled to π^(±) -16O systems and then successively to other few systems covering the scattering of charged pions from target nuclei and isotopes, namely π^(±) -28Si, 30Si, π^(±) -32S, 34S, π^(±) -40Ca, 48Ca, π^(±) -56Fe, π^(±) -58Ni, 64Ni and π^(±) -90Zr. For all these systems, the obtained scaled potentials showed a remarkable success in explaining the available elastic scattering data at 50 MeV. For the first time, simple scaling relations are well established, and are used in explaining successfully the elastic differential and integral cross sections. This motivates using the scaling procedure to predict pion-nucleus potentials capable of explaining measured angular distributions for the scattering of charged pions off other target nuclei, and few isotopes, at energies in the low energy región.
