Incompressibility and density distributions in asymmetric nuclear systems

Abstract

The incompressibility of asymmetric nuclear matter ${K}_{\ensuremath{\infty}}$ is studied analytically within the framework of the relativistic mean field theory and the nonrelativistic Skyrme Hartree-Fock model. We investigate also the relation between ${K}_{\ensuremath{\infty}}$ of asymmetric nuclear matter and the surface diffuseness by using the extended Thomas Fermi approximation. The self-consistent relativistic and nonrelativistic mean field calculations are performed for Sn isotopes, taking into account the pairing correlation, in order to extract the asymmetry parameter $(N$ $\ensuremath{-}Z)/A$ dependences of the surface diffuseness a and the central density $\ensuremath{\rho}(r=0).$ Clear correlations are found between the incompressibility ${K}_{\ensuremath{\infty}}$ of asymmetric nuclear matter and the extracted surface diffuseness $a,$ and also between ${K}_{\ensuremath{\infty}}$ and the extracted central density $\ensuremath{\rho}(r=0).$