Original scientific paper

Phenomenological local potential analysis of π+ scattering

S. A. E. Khallaf ; Physics Department, Assiut University, Assiut 71516, Egypt
A. A. Ebrahim ; Physics Department, Assiut University, Assiut 71516, Egypt

Abstract

π +-nucleus scattering cross section are calculated by solving a Schr¨odinger equation reduced from the Klein-Gordon equation. Local potentials are assumed, and phenomenological potential parameters are searched energy dependently for π + scattering from 12C, 40Ca, and 208Pb to reproduce not only differential elastic cross sections but also inelastic and total and reaction cross sections at 800 MeV/c pion laboratory momentum. The collective model is used to calculate the angular distributions of differential inelastic cross sections for pions leading to the lowest 2 + and 3− states of 12C. The deformation parameters and lengths are extracted and compared to the corresponding ones from other works. Local potentials well describe the scattering of pions from nuclei.

Keywords

π+- nucleus scattering; elastic; inelastic; differential cross sections; local potentials; collective model; scattering from 12C; 40Ca; and 208Pb

Hrčak ID:

304146

URI

https://hrcak.srce.hr/304146

Publication date:

2.10.2005.

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