TITLE:
Analyses of π± - 12C Elastic Scattering and Reaction Cross-Section Data Below, Atop and Above the Δ-Resonance
AUTHORS:
Zuhair F. Shehadeh
KEYWORDS:
Pion-Nucleus Potential, Elastic Scattering, Inverse Scattering Theory, High Energy Physics
JOURNAL NAME:
Journal of Modern Physics,
Vol.5 No.6,
April
18,
2014
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.