Abstract

The simple local optical potential adopted in analyzing successfully elastic scattering data in the delta resonance region has been emphasized here. This is based on obtaining the same nature for the potential by extracting potential points from available  phase shifts at 114, 163, 240 and 340 MeV using inverse scattering theory within the framework of Klein-Gordon equation.  Luckily, and as expected, the obtained analytical potential form has also been used successfully in accounting for the experimental angular distributions at another nearby four energies, namely 170, 220, 230, and 270 MeV. At energies considered herein, the calculated reaction cross sections are in good agreement with available experimental ones, and are in spectral match with experimental ones. The nature of the real part of the potential showed a change from attractive to repulsive at about 200 MeV, and the imaginary part is dominated by the surface absorption term. In treating the pion-nucleus scattering problem, we found that there is no privacy for a doubly closed-shell self-conjugate target nucleus compared to another nucleus, at least  light bound nucleus, and for incident pion energies in the domain of the delta resonance region. Instead, it seems that the description of the scattering process is mainly attributed to the geometrical structure of the target nucleus. This is a first time corollary, and more investigations are needed.

Key words: Pion-nucleus potential, elastic scattering, inverse scattering theory, high energy physics.