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

Authors : Zuhair Fayyad Mahmoud SHEHADEH

Pages : 190-197

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Publication Date : 0000-00-00

Article Type : Research Paper

Abstract :The elastic scattering of 180 MeV positively and negatively charged pions, incident on a set of calcium isotopes and the isotone 48Ca - 54Fe, has been analyzed within the framework of a recently updated simple local optical potential. This potential, particularly at the tail region, has been originally determined from available phase shifts using inverse scattering theory and the Klein--Gordon equation as a guide. The analysis is carried out with and without considering the squared potential term in the Klein-Gordon equation. Coulomb effects are accounted for by implementing Stricker`s prescription. The numerical results for the angular distributions with isotopic and isotonic shifts have been well reproduced. Relative potential differences, in the imaginary part, for pi- -48Ca,40Ca and pi+ -54Fe,48Ca also reveal that the neutron distribution in 48Ca is more extended by about 0.21 fm.
Keywords : Pion nucleus potential, isotopes and isotones, elastic scattering, inverse scattering theory