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.
Highlights
Pions play a major role in studying the nucleus and, as such, they are crucial in nuclear physics and other disciplines [1] [2]
The new updated potential proves to be successful in explaining low energy π−-12C elastic scattering data
The calculated differential and reaction cross sections are in nice agreements with the measured ones
Summary
Pions play a major role in studying the nucleus and, as such, they are crucial in nuclear physics and other disciplines [1] [2]. In the delta resonance region (Tπ = 200 ± 100 MeV), the pion has a very small mean free path of less than 1 fm and usually faces a complete absorption at the surface of the nucleus Such a scattering process of pions from different nuclei is usually described by simple optical potentials [4]. Shehadeh in explaining the angular distributions of elastically scattered charged pions from different nuclei over the whole angular range in the delta resonance region This potential relies on extracting potential points from available phase shifts using inverse scattering theory (IST), as a guide, and the full Klein-Gordon (K-G) equation with all necessary relativistic kinematical effects.
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