Abstract
π+-nucleus scattering cross section are calculated by solving a Schrödinger equation reduced from the Klein-Gordon equation. Local potentials are assumed, and phenomenological potential parameters are searched energy dependently for π+ scattering from 12C, 40Ca, and 208Pb to reproduce not only differential elastic cross sections but also inelastic and total and reaction cross sections at 800 MeV/c pion laboratory momentum. The collective model is used to calculate the angular distributions of differential inelastic cross sections for pions leading to the lowest 2+ and 3− states of 12C. The deformation parameters and lengths are extracted and compared to the corresponding ones from other works. Local potentials well describe the scattering of pions from nuclei.
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Khallaf, S.A.E., Ebrahim, A.A. Phenomenological local potential analysis of π+ scattering. Acta Phys. Hung. A 25, 29–45 (2006). https://doi.org/10.1556/APH.25.2006.1.3
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DOI: https://doi.org/10.1556/APH.25.2006.1.3