Abstract
The notable discrepancy between the densities of neutrons and protons impacts numerous features of nuclear matter, raising the nuclear symmetry energy in neutron-rich environments. Determining the symmetry energy’s density dependency thus becomes a significant scientific goal. A model of coherent density fluctuation (CDFM) is used to compute the energy of nuclear symmetry ( \(S\) ), the pressure of neutrons ( \(P_{o}\) ), and the compressibility asymmetry ( \(\Delta K\) ) in neon isotopes ( \(A=20{-}34\) ). The CDFM, a theoretical framework for examining the properties of restricted nuclei, is a helpful alternative for bridging the gap between the nuclear substance characteristics and features of finite nuclei. The connection between the skin thickness of neutrons ( \(\Delta R_{n}\) ) and the density-dependent characteristics of the energy of nuclear symmetry in Ne isotope chains is also examined more comprehensively. The skin thickness of neutrons, the nuclear symmetry energy’s mass dependency, and the significance of neutron–proton asymmetry are all discussed. We found a complicated, nonlinear link between the energy of nuclear symmetry and the thickness of the neutron skin in Ne isotopes that are high in neutrons and have mass numbers between 20 and 34. The detailed research further explores the relationship between the skin thickness of the neutrons and the density-dependent characteristics of the symmetry energy associated with proton–neutron asymmetry. The results showed that the estimated skin thickness of the neutron for these isotopes agreed well with the existing experimental evidence.
