A study of shell structure in normal to exotic nuclides within relativistic Hartree–Bogoliubov approximation

Abstract

The purpose of this work is to study theoretically the shell structure of even–even isotopes in Si, S, Ar and Ca and isotones at neutron number N = 0, 28, 50 and 82. We employed Covariant Relativistic self-consistent mean field models analogous to Kohn–Sham density functional theory to construct the Nuclear Density Functionals from Lagrangian densities based on meson exchange and point coupling models. The pairing correlations of nucleons are considered by the relativistic Hartree–Bogoliubov functional based on quasi-particle operators of Bogoliubov transformations. The theoretical calculations of shell closure parameter [Formula: see text](N) and the differential variation of the two-neutron separation energy [Formula: see text](Z, N) provide recognizable signature of shell closure at N = 14 and 20 in case of Si, N = 14, 20 and 28 in S, Ar and Ca isotopes and are consistent with recent experimental investigations of new sub-shell gaps.

Nuclear shape evolution and shape coexistence in Zr and Mo isotopes

“…Nuclear density functional theories have been using to understand nuclear many-body dynamics for appriciable description of nuclei near the drip lines [30,31,32,33,34]. Covariant density functional theory (CDFT) is one of the most attractive nuclear density functional theories based on energy density functionals.…”

Microscopic study of the Shell Structure evolution in isotopes of light to middle mass range Nuclides

“…These nuclei act as milestones in setting new effects that arise in extreme conditions of isospin asymmetry. We have chosen Si, S, Ca and Ar nuclei for our interest as lot of research has been done on these nuclei recently [2,5,39]. The microscopic structure of these nuclei is of particular interest for the field of astrophysics: the neutron-rich N≃28 nuclei play an important role in the nucleosynthesis of the heavy Ca-Ti-Cr isotopes.…”