Relativistic and nonrelativistic mean field analysis of the shell evolution in 44−52Ar isotopes

The systematic search of axial ground state and the emergence of new gaps in neutron-rich Formula: see textAr isotopes are the challenging of current calculations of relativistic and nonrelativistic mean field models. For this purpose, we have employed the model based on Relativistic Hartree–Bogoliubov (RHB) with the density-dependent effective interaction of point coupling DD-PCX type. However, the nonrelativistic mean field calculations based on Hartree-Fock model were carried out with Skyrme SV-min parametrization. All the present calculations were performed within axial symmetries. The results provide that most of isotopes show an oblate-deformed ground state. In particular, Formula: see textAr and Formula: see textAr display a spherical shape in their ground states with SV-Min calculations. There is a notable signature of the sub-shell closure at neutron number Formula: see text, whereas Formula: see text is expected to be nearly quenched in the spherical ground. Furthermore, coexistence features are predicted in the neutron-rich Formula: see textAr isotope. We have also studied the neutron axial densities and its central depletion in the well-deformed grounds for the first time. In addition to these, the proton single-particle evolution and bubble-like structure at Formula: see textAr are very well reproduced with DD-PCX calculations.