Symmetry energy of deformed neutron-rich nuclei

TL;DR

This paper investigates the symmetry energy and neutron skin thickness in deformed neutron-rich nuclei using various theoretical models, revealing correlations and differences among isotopic chains, with results aligning well with experimental data for lead isotopes.

Contribution

It introduces a comprehensive analysis of symmetry energy, neutron pressure, and skin thickness in deformed neutron-rich nuclei using the coherent density fluctuation model and Skyrme-Hartree-Fock methods.

Findings

Different isotopic chains show distinct trends in symmetry energy-related correlations.

Neutron skin thickness in $^{208}$Pb agrees with recent experimental data.

The study highlights the smoother behavior of correlations in lead isotopes.

Abstract

The symmetry energy, the neutron pressure and the asymmetric compressibility of deformed neutron-rich even-even nuclei are calculated on the examples of Kr and Sm isotopes within the coherent density fluctuation model using the symmetry energy as a function of density within the Brueckner energy-density functional. The correlation between the thickness of the neutron skin and the characteristics related with the density dependence of the nuclear symmetry energy is investigated for isotopic chains of these nuclei in the framework of the self-consistent Skyrme-Hartree-Fock plus BCS method. Results for an extended chain of Pb isotopes are also presented. A remarkable difference is found in the trend followed by the different isotopic chains: the studied correlations reveal a smoother behavior in the Pb case than in the other cases. We also notice that the neutron skin thickness obtained for $^{208}$Pb with SLy4 force is found to be in a good agreement with recent data.