Nuclear matter properties of finite nuclei using relativistic mean field formalism

Abstract

In this theoretical study, we establish a correlation between the neutron skin thickness and the nuclear symmetry energy for the even–even isotones for magic neutron N = 20, 40, 82, and 126 within self-consistent relativistic mean-field formalism for non-linear NL3⁎ and density-dependent DD-ME2 parameter sets. The local density approximation is used to formulate the symmetry energy, and its co-efficient, namely, neutron pressure of finite nuclei over the isotonic chains. We find a few moderate signatures of pick and/or depth over the isotonic chains at and/or near the proton magic for symmetry energy and neutron pressure, which is a manifestation of the persistence of shell/sub-shell closure. We determine the symmetry energy for the isotonic chain of expected neutron shell closures N = 172 and also find similar behavior as in the case of known magic neutrons. Furthermore, we show the symmetry energy as a function of neutron-proton asymmetry, which results in similar behavior as persisted in the mass-dependence curve. In addition to these, a comparative study is performed using Coherent-Density-Fluctuation-Model to examine the surface effect over the isotonic chain in terms of nuclear matter quantities at local density. The obtained results are of considerable importance since due to shell closure over the isotonic chain, will act as awaiting point in nucleosynthesis of r-process and experimental investigations towards the drip-line region of the nuclear chart.