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

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.

18 pages, 4 figures

References in corpus (17)

• Relativistic Nuclear Energy Density Functionals: adjusting parameters to binding energies
• Relativistic Mean-Field Hadronic Models under Nuclear Matter Constraints
• Symmetry Energy I: Semi-Infinite Matter
• Surface Symmetry Energy of Nuclear Energy Density Functionals
• A proton density bubble in the doubly magic ${}^{34}$Si nucleus
• Nuclear skin emergence in Skyrme deformed Hartree-Fock calculations
• Generic Constraints on the Relativistic Mean-Field and Skyrme-Hartree-Fock Models from the Pure Neutron Matter Equation of State
• Superdeformed and Hyperdeformed States in Z=122 Isotopes
• Precision mass measurements of neutron-rich scandium isotopes refine the evolution of $N=32$ and $N=34$ shell closures
• Volume and surface contributions to the nuclear symmetry energy within the coherent density fluctuation model
• Appearance of peak in symmetry energy at N = 126 for Pb isotopic chain within relativistic energy density functional
• Application of the coherent density fluctuation model to study the nuclear matter properties of finite nuclei within the relativistic mean-field formalism
• Systematic study of surface properties for Ne, Na, Mg, Al and Si isotopes in a coherent density fluctuation model using the relativistic mean field formalism
• Neutron Skin and Giant Resonances in Nuclei
• Symmetry energy properties of neutron-rich nuclei from the coherent density fluctuation model applied to nuclear matter calculations with Bonn potentials
• Determining the density dependence of the nuclear symmetry energy using heavy-ion reactions
• On the robustness of sub-shell closures: A high angular momentum analysis of the titanium isotopes