Analysis ofπ±-nucleus elastic scattering using a local potential

Analyses of elastically scattered charged pions from calcium isotopes and the 48Ca-54Fe isotone at 180 MeV

“…Despite its remarkable success, however, it fails to describe large-angle data well [4]. In fact, many theorists, therefore, have used Satchler's potential in studying pion-nucleus scattering [5] only at angles of less than 80…”

Different Methods for Pion-nucleus Optical Potential

“…In the present calculations we have been using the three parameter Fermi shape of the density distributions of nucleons within 12 C along with the Ericson-Ericson LorentzLorentz (EELL) parameter ζ=1. 0, they were more suitable for π ± -nucleus scattering using the Kisslinger local potential [6] , in the same energy range considered here. To differentiate between the above-mentioned potentials, the quality of fits of the calculated differential cross-sections using these potentials are judged according to the χ 2 -values.…”

“…The same parameters b i and c i are also used for calculations in the Laplacian model to compare to the Kisslinger local potential calculations. The second-order parameters B 0 and C 0 which are very important at lower pion energies T<100 MeV are taken into account here and are taken from Khallaf and Ebrahim [6] . For inelastic π-nucleus scattering, the radial parts of the hadronic transition potentials used here are as follows [12] :…”

“…Recently, Johnson and Satchler [4] used the KrellEricson transformation [5] , which leads from the KleinGordon equation for pion scattering to a local potential for the transformed wave function, equivalent to Kisslinger nonlocal potential. This local potential was used to successfully analyze the elastic scattering of π ± from 12 C, 16 O, 28 Si and 40,44,48 Ca in the pion kinetic energy range of 30 to 292 MeV [6] . Elastic and inelastic scattering of positive and negative pions from calcium isotopes and 54 Fe were studied [7] using the Kisslinger local potential, together with a zero-range DWBA code.…”

Analyses of &lt;i&gt;π&lt;/i&gt;&lt;sup&gt;&#177;&lt;/sup&gt; - 12C Elastic Scattering and Reaction Cross-Section Data Below, Atop and Above the Δ-Resonance

“…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. The successes of these potentials were reasonable but far from complete.…”