Abstract
The simple local optical potential adopted in analyzing successfully elastic scattering data in the delta resonance region has been emphasized here. This is based on obtaining the same nature for the potential by extracting potential points from available phase shifts at 114, 163, 240 and 340 MeV using inverse scattering theory within the framework of Klein-Gordon equation. Luckily, and as expected, the obtained analytical potential form has also been used successfully in accounting for the experimental angular distributions at another nearby four energies, namely 170, 220, 230, and 270 MeV. At energies considered herein, the calculated reaction cross sections are in good agreement with available experimental ones, and are in spectral match with experimental ones. The nature of the real part of the potential showed a change from attractive to repulsive at about 200 MeV, and the imaginary part is dominated by the surface absorption term. In treating the pion-nucleus scattering problem, we found that there is no privacy for a doubly closed-shell self-conjugate target nucleus compared to another nucleus, at least light bound nucleus, and for incident pion energies in the domain of the delta resonance region. Instead, it seems that the description of the scattering process is mainly attributed to the geometrical structure of the target nucleus. This is a first time corollary, and more investigations are needed. Key words: Pion-nucleus potential, elastic scattering, inverse scattering theory, high energy physics.
Highlights
The pion plays an important role in nuclear physics due to its unique physical properties (Stroot, 1973) as 1) it is a generator of the nuclear force 2) it is an important part in the nuclear many-body problem 3) it has a zero spin 4) it has a one isospin triplet 5) it has negative and positive charges that allow for neutron and proton characterization, and uncover Coulomb effects
In treating the pion-nucleus scattering problem, we found that there is no privacy for a doubly closed-shell self-conjugate target nucleus compared to another nucleus, at least Z N light bound nucleus, and for incident pion energies in the domain of the delta resonance region
12C,16O,40Ca elastic scattering data have been nicely explained by our potentials (Shehadeh, 2013a, 2014c; Shehadeh and Al-Shawaf, 2015) which are obtained from available phase shifts using inverse scattering theory and adopting the full Klein-Gordon equation
Summary
The pion plays an important role in nuclear physics due to its unique physical properties (Stroot, 1973) as 1) it is a generator (carrier) of the nuclear force 2) it is an important part in the nuclear many-body problem 3) it has a zero spin 4) it has a one isospin triplet 5) it has negative and positive charges that allow for neutron and proton characterization, and uncover Coulomb effects. 12C,16O,40Ca elastic scattering data have been nicely explained by our potentials (Shehadeh, 2013a, 2014c; Shehadeh and Al-Shawaf, 2015) which are obtained from available phase shifts using inverse scattering theory and adopting the full Klein-Gordon equation. In analyzing pion-40Ca elastic scattering data at 163.3 MeV, Shehadeh et al (2003), have noticed that when Satchler's potential is implemented in the complete Klein-Gordon equation, that is, considering
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