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

In this paper, a dispersive optical model analysis of the neutrons 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 100 MeV and for constant input values of the parameters of this mean field and the varied input values of Hatree-Fock approximation parameters of the nonlocal potential. 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, total reaction, elastic) cross sections within the energy range (1-100) MeV, and with calculation step of the pervious range whose magnitude (1 MeV), elastic differential cross section and polarization 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 parameterization of the optical model potential, and thus more reliable for calculation the cross sections of unknown interactions of elements nuclei and their isotopes such neutrons scattering by titanium element nucleus and its natural isotopes.