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

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 20ca20, 4820ca28, 9040zr50, 11650 sn66, 14462 sm82 and 208 62 pb126 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 relation between the proton and neutron root-mean-square radii, and nuclear matter properties has been studied and examined by determining and discussion the statistical pearson linear correlation coefficient, to help in formulating nuclear interaction.