Symmetry energy properties of neutron-rich nuclei from the coherent density fluctuation model applied to nuclear matter calculations with Bonn potentials

Abstract

We derive the values of nuclear symmetry energy, its components, as well as pressure in finite nuclei at saturation density from their corresponding values in nuclear matter obtained in nonrelativistic Brueckner-Hartree-Fock calculations with the realistic Bonn B and Bonn CD potentials using the coherent density fluctuation model in the framework of a self-consistent Skyrme-Hartree-Fock plus BCS method. We focus on three isotopic chains of spherical nuclei (Ni, Sn, and Pb) and compare our results with those obtained with an effective Brueckner density-dependent potential. The role of the three-body forces on the considered quantities is also studied and discussed.

Nuclear symmetry energy components and their ratio: A new approach within the coherent density fluctuation model

“…In the proposed approach we perform calculations for the symmetry energy components S V (A) and S S (A) and their ratio for the same isotopes in Ni (A = 74-84), Sn (A = 124-156), and Pb (A = 202-214) chains considered before and compare the obtained results with the previous ones [including S V (A), S S (A), and their ratio κ] obtained by the procedure in Refs. [9,31]. The applicability of our both schemes within the CDFM is also demonstrated by a comparison of the results with the available empirical data and with results of other theoretical studies for the considered quantities.…”

“…[5,8]). Additionally, when exploring the symmetry energy properties of neutron-rich nuclei by means of the nonrelativistic Brueckner-Hartree-Fock (BHF) method with modern realistic Bonn B and Bonn CD potentials [9], we performed nuclear matter many-body calculations and then results for finite nuclei were obtained within the coherent density fluctuation model (CDFM) (see, e.g., Refs. [10,11]).…”

“…In our previous works [8,9,[29][30][31][32][33][34] we demonstrated the capability of the CDFM to be applied as an alternative way to make a transition from the properties of nuclear matter to the properties of finite nuclei investigating the nuclear symmetry energy (NSE), the neutron pressure, and the asymmetric compressibility in finite nuclei. While there is enough information collected for these key EOS parameters (although the uncertainty of their determination is still large), the volume and surface symmetry energies have been poorly investigated until now.…”

“…In this paper, we revisit the expression for the ratio between the volume and surface components to the NSE within the CDFM proposed in Refs. [9,31] and suggest an alternative approach in a more direct and physically motivated way to calculate this ratio. The main aim of the work is to avoid the preliminary assumptions and mathematical ambiguities in our previous scheme I.…”

Proton and neutron skins and symmetry energy of mirror nuclei

“…In our previous works [12,31,43,44], as well as in the present paper, the transition from the properties of nuclear matter to those of finite nuclei has been made using the CDFM. The model is a natural extension of the Fermi-gas one.…”