Shell/sub-shell closure at N = 82 over the isotopic chain of Ba-nuclei within relativistic mean-field formalism

In recent years, there has been increasing interest in exploring the structural evolution of exotic nuclei using experimental and theoretical frameworks. Through experimental facilities like radioactive ion beams and accelerators, more than 5000 nuclei have been synthesized around the world. These experiments allow us to expand our preexisting knowledge of the nuclear structure of finite nuclei having extreme values of isospin asymmetry and also put to the test the existing theoretical models. On the theoretical front, the non-relativistic models, including Skyrme Hartree-Fock (SHF) and Gogny, provide reasonably accurate results for β− stable nuclei. However, moving away from the stability line, the non-relativistic description of the nuclear system starts to fail. In this regard, the relativistic mean field (RMF) theory provides a robust and efficient technique for describing several features of the many-body problem capable of investigating the nuclear system of a finite nucleus, dynamics of heavy-ion collision, and astrophysical objects, including neutron stars