Volume 5, Issue 1, March 2020, Page: 8-15
A Dispersive Optical Model Analysis of the Alpha Particles Scattering by Titanium Element Nucleus and Its Natural Isotopes
Haiddar Al-Mustafa, Department of Physics, Faculty of Science, Al-Baath University, Homs, Syria
Anees Belal, Department of Physics, Faculty of Science, Al-Baath University, Homs, Syria
Received: Feb. 2, 2020;       Accepted: Mar. 9, 2020;       Published: Apr. 30, 2020
DOI: 10.11648/j.ns.20200501.12      View  389      Downloads  65
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.
Keywords
Dispersive Optical Model Analysis (DOMA), Alpha Particles Scattering, (Coulomb-Nuclear) Interference Potential (CNIP), Hatree-Fock potential (HF), Dispersion Relations (DR), Cross Section, Polarization, Coulomb Barrier
To cite this article
Haiddar Al-Mustafa, Anees Belal, A Dispersive Optical Model Analysis of the Alpha Particles Scattering by Titanium Element Nucleus and Its Natural Isotopes, Nuclear Science. Vol. 5, No. 1, 2020, pp. 8-15. doi: 10.11648/j.ns.20200501.12
Copyright
Copyright © 2020 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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