TITLE:
Analyses of Low-Energy π--12C Elastic Scattering Data
AUTHORS:
Zuhair F. Shehadeh
KEYWORDS:
Pion-Nucleus Potential, Elastic Scattering, Inverse Scattering Theory, Low-Energy Physics
JOURNAL NAME:
Journal of Modern Physics,
Vol.5 No.16,
October
30,
2014
ABSTRACT: A new
updated simple local optical potential is proposed for analyzing low-energy π--12C elastic
scattering data at 80 MeV and below. This potential is composed of two real
terms and an imaginary term. The nature of the real part of the potential is
repulsive at smaller radii and attractive at larger ones. In fact, the height
of the repulsive term is found to change linearly with the incident pion
kinetic energy. On the other hand, the imaginary part of the potential is
attractive, shallow and non-monotonic with a dip at about 1.6 fm. Such a nature of the potential
makes it feasible to predict π--12C
cross sections at other energies in the energy region considered herein.
Coulomb effects are incorporated by following Stricker’s prescription. This
study will serve positively in studying both pionic atoms and the role of negative
pions in radiotherapy.