Abstract
We derive the volume and surface components of the nuclear symmetry energy (NSE) and their ratio within the coherent density fluctuation model. The estimations use the results of the model for the NSE in finite nuclei based on the Brueckner and Skyrme energy-density functionals for nuclear matter. The obtained values of the volume and surface contributions to the NSE and their ratio for the Ni, Sn, and Pb isotopic chains are compared with estimations of other approaches which have used available experimental data on binding energies, neutron-skin thicknesses, and excitation energies to isobaric analog states (IAS). Apart from the density dependence investigated in our previous works, we study also the temperature dependence of the symmetry energy in finite nuclei in the framework of the local density approximation combining it with the self-consistent Skyrme-HFB method using the cylindrical transformed deformed harmonic-oscillator basis. The results for the thermal evolution of the NSE in the interval T = 0–4 MeV show that its values decrease with temperature. The investigations of the T-dependence of the neutron and proton root-mean-square radii and the corresponding neutron skin thickness point out that the effect of temperature leads mainly to a substantial increase of the neutron radii and skins, especially in nuclei which are more rich of neutrons.
Highlights
The nuclear symmetry energy, as a fundamental quantity in nuclear physics and astrophysics, represents a measure of the energy gain in converting isospin asymmetric nuclear matter (ANM) to a symmetric system
Apart from the density dependence investigated in our previous works, we study the temperature dependence of the symmetry energy in finite nuclei in the framework of the local density approximation combining it with the self-consistent Skyrme-HFB method using the cylindrical transformed deformed harmonic-oscillator basis
Our motivation is that numerous analyses of the volume and surface components of the nuclear symmetry energy (NSE) using a wide range of data on the binding energies, neutron-skin thicknesses and excitation energies to isobaric analog states (IAS) give estimations of these quantities as functions of the mass number A that change in some intervals for different regions of nuclei
Summary
The nuclear symmetry energy, as a fundamental quantity in nuclear physics and astrophysics, represents a measure of the energy gain in converting isospin asymmetric nuclear matter (ANM) to a symmetric system. The estimations use the results of the model for the NSE in finite nuclei based on the Brueckner and Skyrme energy-density functionals for nuclear matter.
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