Ground-state properties and symmetry energy of neutron-rich and neutron-deficient Mg isotopes

Abstract

A comprehensive study of various ground-state properties of neutron-rich and neutron-deficient Mg isotopes with A = 20-36 is performed in the framework of the self-consistent deformed Skyrme-Hartree-Fock plus BCS method. The correlation between the skin thickness and the characteristics related with the density dependence of the nuclear symmetry energy is investigated for this isotopic chain following the theoretical approach based on the coherent density fluctuation model and using the Brueckner energy-density functional. The results of the calculations show that the behavior of the nuclear charge radii and the nuclear symmetry energy in the Mg isotopic chain is closely related to the nuclear deformation. We also study, within our theoretical scheme, the emergence of an "island of inversion" at the neutron-rich 32 Mg nucleus, which was recently proposed from the analyses of spectroscopic measurements of the 32 Mg low-lying energy spectrum and the charge rms radii of all magnesium isotopes in the sd shell.

Volume and surface contributions to the nuclear symmetry energy within the coherent density fluctuation model

“…In our previous works [25,26,56] we have used for the matrix element V (x) of the nuclear Hamiltonian, as an example, the corresponding ANM energy from the energy density functional of Brueckner et al [27,28]. The corresponding expression for s AN M (x) within this method can be found in Refs.…”

“…We use our results for NSE obtained using Brueckner EDF in Refs. [25,26,56], as well as the considerations of this subject mentioned above (e.g., [34][35][36][37][38][39][40][41][42][43][44][45][46][47][48][49][50][51][52][53]). The present calculations are performed using both Brueckner and, in addition, Skyrme energy-density functionals.…”

Temperature dependence of the symmetry energy and neutron skins in Ni, Sn, and Pb isotopic chains

“…The main aim of this work is, apart from the ρ dependence investigated in our previous works [8][9][10], to study also the temperature dependence of the symmetry energy in finite nuclei. We focus on the determination of the symmetry energy coefficient, for which we have explored the local density approximation [4][5][6][7] with some modifications.…”

“…The numerical results for s, p 0 , and K for neutron-rich and neutron-deficient Mg isotopes with A = 20-36 were presented in Ref. [10].…”

“…Nuclear matter is characterized by its energy per particle as a function of density and other thermodynamic quantities (e.g., temperature). At the same time, within, e.g., the local-density approximation (LDA) [4][5][6][7] or coherent density fluctuation model (CDFM) [8][9][10], one can use the EOS of asymmetric nuclear matter (ANM) to obtain information on finite systems.…”