A Dispersive Optical Model Analysis of the Protons Scattering by Titanium Element Nucleus and Its Natural Isotopes

Haiddar Al-Mustafa,Anees Belal

doi:10.11648/j.ns.20190404.12

Abstract

A dispersive optical model analysis of the proton scattering by titanium element nucleus and its natural isotopes is applied to the construction of the complex single-particle mean field starting from Fermi energy value to the energy value 100MeV and for constant input values of the parameters of this mean field. This mean field is called (coulomb-nuclear) interference potential, that contains (spin-orbit) coulomb term. The results according to DOMACNIP program that has been designed for that purpose would contain: continuous energy variation of the depths of the real and imaginary parts of the mean field, which are connected by dispersion relations were compared with these resulting from global parameterization of the optical model potential. In addition to continuous energy variation of the real radius parameter of the Wood-Saxon approximation to the mean field potential with its Hatree-Fock approximation of the nonlocal potential. Consequently, our results for the continuous energy variations of the predicted total reaction cross section within the energy range (1-100) MeV, and with calculation step of the pervious range whose magnitude (1 MeV), differential cross sections, Ratio of the differential elastic scattering cross section to Rutherford cross section, polarization for selected energy showed the excellent agreement with available experimental data and with these resulted from global parameterization of the optical model potential.

Highlights

The nuclear optical model potential describes the motion of one nucleon, bound or unbound, in the mean field of all the other nucleons comprising the nucleus
The present paper aims at presenting the dispersive optical model analysis (DOMA) of the protons scattering by titanium element nucleus and its natural isotopes and comparing the results with these resulted from global parametrization of the optical model potential and averrable experimental data within energy range (1-100) MeV and with calculation step of the previous range whose magnitude 1 MeV
The geometrical parameters and the volume integral per nucleon of the mean field components, we have compared them with global parameterizations of the optical potential whose calculations have been performed in the DOMACNIP program: 1. Becchetti and Greenlees [9], its coding in the program

Summary

Introduction

The nuclear optical model potential describes the motion of one nucleon, bound or unbound, in the mean field of all the other nucleons comprising the nucleus. The field due to the sum of all the individual nucleon-nucleon interactions is represented by a simple one-body potential. This approximation greatly simplifies the calculation of a wide range of nuclear structure and nuclear reaction phenomena, in addition to the excellent agreement with experimental data (1). Where , and , , are the real and imaginary components of the volume-central , surface-central and spin-orbit potentials, respectively. All components are separated in energy-dependent well depths, , , , and.

Methods

Results

Conclusion