Persistence of the N = 50 shell closure over the isotopic chains of Sc, Ti, V and Cr nuclei using relativistic energy density functional

TL;DR

This study investigates the persistence of the N=50 shell closure in neutron-rich isotopes of Sc, Ti, V, and Cr using relativistic energy density functional models, highlighting the model's predictive capabilities.

Contribution

The paper demonstrates that relativistic energy density functional models effectively predict the N=50 shell closure in neutron-rich isotopes, outperforming Brueckner-EDF in this context.

Findings

Relativistic-EDF predicts shell closure at N=50 more accurately.

Shell and sub-shell signatures are observed in symmetry energy components.

Relativistic-EDF outperforms Brueckner-EDF in neutron-rich isotopes.

Abstract

The analytical expression of the density-dependent binding energy per nucleon for the relativistic mean field (RMF), also known as the relativistic energy density functional (Relativistic-EDF), is used to obtain the isospin-dependent symmetry energy and its components for the isotopic chain of Sc, Ti, V, and Cr nuclei. The procedure of the coherent density fluctuation model is employed to formulate the Relativistic-EDF and Brueckner energy density functional (Brueckner-EDF) at local density. A few signatures of shell and/or sub-shell closure are observed in the symmetry energy and its components, i.e., surface and volume symmetry energy, far from the beta-stable region for odd-A Sc and V, and even-even Ti and Cr nuclei with non-linear NL3 and G3 parameter sets. A comparison is made with the results obtained from Relativistic-EDF and Brueckner-EDF with both NL3 and G3 for the considered isotopic chains. We find Relativistic-EDF outperforms the Brueckner-EDF in predicting the shell and/or sub-shell closure of neutron-rich isotopes at N = 50 for these atomic nuclei. Moreover, a relative comparison has been made for the results obtained with the non-linear NL3 and G3 parameter sets.