Abstract
The pion-nucleus elastic scattering and reaction cross-section data at incident energies below, atop and above the Δ-resonance are analyzed using the full Klein-Gordon equation using an optical potential. Analytic forms of the potential are determined using the inverse scattering theory in those cases where phase shift analyses were available. The Coulomb effect is incorporated using Stricker’s prescription. Both elastic scattering data and the reaction cross sections between 120 and 400 MeV are well reproduced. Both real and imaginary parts of the potential are local. The potential points determined by the inverse scattering theory in the interior region at 230 MeV clearly establish that the real part is repulsive. This remains the case at higher incident energies. The real part turns repulsive above the resonance, whereas the imaginary part reflects the dominance of surface absorption, which is maximum near atop the Δ-resonance and then falling off at higher energies.
Highlights
Pions are key carriers of strong interaction among mesons and hadrons
The knowledge of pion-nucleon and pion-nucleus is an important starting point to gain insight into the physics of strong interaction. For this and general purpose of understanding mesonic physics, many research facilities around the world dedicated to meson physics such as Los Alamos Meson Physics Facility (LAMPF), Swiss Institute of Nuclear research/PaulSherrer Institute (SIN/PSI), Tri-University Meson Facility (TRIUMF), Brookhaven National Laboratory (BNL), How to cite this paper: Shehadeh, Z.F. (2014) Analyses of π± − 12C Elastic Scattering and Reaction Cross-Section Data Below, Atop and Above the Δ-Resonance
We establish that local optical potential in conjunction with the KG equation can suitably explain the elastic scattering as well as reaction cross sections
Summary
Pions are key carriers of strong interaction among mesons and hadrons. the knowledge of pion-nucleon and pion-nucleus is an important starting point to gain insight into the physics of strong interaction. The low-energy pion-nucleus elastic scattering data available at that time were primarily limited to forward angles and analyzed within the framework of non-local Kisslinger [6], local Laplacian [7] and localequivalent of Kisslinger [8] potentials All these theoretical models had only a limited success in explaining subsequent data taken at large angles. For explaining pion-nucleus scattering data in the delta resonance region at large angles, Satchler [9] proposed local potential similar to the one used in the optical model of nucleon-nucleus scattering using Schrödinger equation but considering relativistic kinematics (RSE) This paved the way for more pion-nucleus analyses using different local optical potentials [10]-[13] without recourse to the complexities of the non-local interaction. Theory, results and discussion, and conclusions are presented
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