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

Haiddar Al-Mustafa ,Anees Belal

doi:10.11648/j.ns.20200501.12

Abstract

A dispersive optical model analysis of the alpha particles scattering by titanium element nucleus and its natural isotopes has been applied for a new scattering potential within the energy range (1-100) MeV which has contained the range of the Coulomb barrier, and for constant input values of the parameters of this potential. This potential is extent of the mean field potential and is called by (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 have been compared with these resulting from global parameterizations of the alpha particles scattering 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 and polarization resulted only from the Coulomb spin-orbit term that has been appeared characteristically for selected energy and for selected center-of-mass scattering angle within the energy range (1-100) MeV, showed the excellent agreement with available experimental data and better than these resulted from global parameterizations of the alpha particles scattering potential.

Highlights

The interaction between a nucleus and a nucleus, is one of the most important aspects in nuclear physics
The present paper aims at presenting the dispersive optical model analysis (DOMA) of the alpha scattering by titanium element nucleus and its natural isotopes by using a complex (Coulomb-Nuclear) interference potential and comparing the results with these resulted from global parametrizations of the optical model potential and available experimental data within energy range (1-100) MeV and with calculation step of the previous range whose magnitude 1 MeV
The methodology of a dispersive optical model analysis is similar to the proton scattering that is showed in references [10, 11], but in state of alpha particles scattering by titanium element nucleus and its natural isotopes within the energy range (1-100) MeV shows clearly influence of the behavior, known as potential threshold anomaly, in addition to an appearance of clearly influence of the Coulomb spin-orbit term and this feature is new in such researches

Summary

Introduction

The interaction between a nucleus and a nucleus (even if one of them is a single nucleon), is one of the most important aspects in nuclear physics It governs the elastic and inelastic scattering and determines the behavior of the various channels in nuclear reactions [1,2,3]. This interaction is a complicated many-body problem even for the analysis of elastic scattering. In that model the elastic scattering may be compared with refraction of optical waves and the inelastic scattering with absorption due to the fact that the crystal ball is cloudy [4]

Methods

Results

Conclusion