Effect of Incompressibility and Symmetry Energy Density on Charge Distribution and Radii of Closed-Shell Nuclei

Abstract

In this work, the effect of incompressibility modulus KNM and symmetry energy density J on charge distribution and root-mean-square radii of neutron Rn and proton Rp has been investigated for light, medium and heavy closed-shell nuclei 40, 48Ca, 90Zr, 116Sn, 144Sm and 208Pb within the framework of self-consistent Hartree-Fock (HF) with 20 types of Skyrme interactions having wide range of nuclear properties such as incompressibility modulus KNM and symmetry energy density J. The nuclear charge densities have been obtained and compared with the experiment data to give us a picture about the internal structure of the investigated nuclei. Also, the sensitivity of proton and neutron root-mean-square radii to nuclear matter properties has been examined by determining and discussion the statistical Pearson linear correlation coefficient.

Keywords

• hartree-fock hf
• skyrme interaction
• charge distribution
• root-mean-square radii