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, densitydependent 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.
