ANALYSIS OF THE EFFECT OF THE B3Y-FETAL POTENTIAL ON ENERGY NEAR THE COULOMB BARRIER FOR THE 9Ве+12С SYSTEM

Abstract

The experimental data of the elastic scattering process of the ⁹Ве+¹²С nuclear system were analyzed from the point of view of microscopic theory in energy near the Coulomb barrier. The new Botswana 3-Yukawa -Fetal potential, created in a variational approach with lower-order constraints on two body matrices, was first used for the ⁹Ве+¹²С system as a real part of the optical potential. In the double folding model, density-dependent parameters were introduced into the nucleon density distribution formula, and they were applied to the Botswana 3-Yukawa - Fetal and Michigan 3-Yukawa - Paris potentials based on effective nucleon-nucleon interactions. As a result, modified real microfolding potentials were created. The results of a semi-microscopic analysis calculated on the basis of new microfolding potentials were presented. The uniqueness of the research lies in the calculation of density-dependent parameters based on the incompressibility coefficient, which characterizes the saturation properties of the nuclear medium. The equations of state of the elastic scattering process were formulated at the saturation density (ρ₀=0.17 fm^-3), determined from the density dependence of the nuclear binding energy. The analysis results allow for a more accurate determination of nuclear properties and enhance the saturation properties of the nuclear medium. The efficiency of the new real potential was determined from a microscopic perspective, and the optimal parameters of the optical potential were found.