Phenomenological and Semi-microscopic Analysis for the Elastic Scattering of Protons from &amp;lt;sup&amp;gt;12&amp;lt;/sup&amp;gt;C Nuclei at Different Energies

Sh Hamada,N Amangeldi

doi:10.4236/jmp.2013.45b013

Abstract

Analysis of the elastic scattering of protons from 12C nuclei had been performed within the framework of both the optical model and single folding model at different proton energies; 17, 30.3, 40, 49.48 and 61.4 MeV. We have obtained the global potential parameters which could fairly reproduce the experimental data for p+12C elastic scattering at the aforementioned energies. The radial and energy dependence of the real and imaginary parts of the potential were calculated. Good agreement between experimental data and theoretical predictions in the whole angular range was obtained using both phenomenological approach (Optical Model), and semi-microscopic approach (Single Folding). In single folding calculations, the real part of the potential was calculated from a more fundamental basis by the folding method in which the NN interaction VNN(r), is folded into the density of the target nuclei and supplemented with a phenomenological imaginary potential. The obtained normalization factor Nr is in the range of 0.75 - 0.9.

Highlights

Elastic scattering of nucleon-nucleus data at intermediate energies is a useful tool for testing and analyzing nuclear structure models and intermediate energy reaction theories [1,2,3,4,5,6,7,8,9,10]
The folding model which is a powerful tool for the microscopic analysis of nuclear reactions has been used for years to calculate the nucleon-nucleus optical potential and inelastic form factors
The real part of the optical potential for the nucleon–nucleus elastic scattering is given within the framework of single folding model, in the following form:

Summary

Introduction

Elastic scattering of nucleon-nucleus data at intermediate energies is a useful tool for testing and analyzing nuclear structure models and intermediate energy reaction theories [1,2,3,4,5,6,7,8,9,10]. The folding model which is a powerful tool for the microscopic analysis of nuclear reactions has been used for years to calculate the nucleon-nucleus optical potential and inelastic form factors It can be seen from the basic folding formulas that this model generates the first-order term of the microscopic optical potential that is derived from Feshbach’s theory of nuclear reactions. The success of this approach in describing the observed nucleon-nucleus elastic scattering data for many targets suggests that the first-order term of the microscopic optical potential is the dominant part of the nucleon optical potential. The folding model is a very useful approach to check the target nuclear densities [21]

The Nuclear Optical Model and Single Folding Model

Results and Discussion

Summary