Temperature dependence of the volume and surface contributions to the nuclear symmetry energy within the coherent density fluctuation model

Abstract

The temperature dependence of the volume and surface components of the nuclear symmetry energy (NSE) and their ratio is investigated in the framework of the local density approximation (LDA). The results of these quantities for finite nuclei are obtained within the coherent density fluctuation model (CDFM). The CDFM weight function is obtained using the temperature-dependent proton and neutron densities calculated through the HFBTHO code that solves the nuclear Skyrme-Hartree-Fock-Bogoliubov problem by using the cylindrical transformed deformed harmonic-oscillator basis. We present and discuss the values of the volume and surface contributions to the NSE and their ratio obtained for the Ni, Sn, and Pb isotopic chains around double-magic ${}^{78}$Ni, ${}^{132}$Sn, and ${}^{208}$Pb nuclei. The results for the $T$-dependence of the considered quantities are compared with estimations made previously for zero temperature showing the behavior of the NSE components and their ratio, as well as with the available experimental data. The sensitivity of the results on various forms of the density dependence of the symmetry energy is studied. We confirm the existence of `kinks' of these quantities as functions of the mass number at $T=0$ MeV for the double closed-shell nuclei ${}^{78}$Ni and ${}^{132}$Sn and the lack of `kinks' for the Pb isotopes, as well as the disappearance of these kinks as the temperature increases.

14 pages, 12 figures, 1 table, accepted for publication in Physical Review C

References in corpus (29)

• Neutron Star Observations: Prognosis for Equation of State Constraints
• Symmetry Energy I: Semi-Infinite Matter
• Results of the ASY-EOS experiment at GSI: The symmetry energy at suprasaturation density
• Axially deformed solution of the Skyrme-Hartree-Fock-Bogolyubov equations using the transformed harmonic oscillator basis (II) HFBTHO v2.00d: a new version of the program
• Density dependence of the nuclear symmetry energy: a microscopic perspective
• Incompressibility of neutron-rich matter
• Surface Symmetry Energy of Nuclear Energy Density Functionals
• Origin of the neutron skin thickness of 208Pb in nuclear mean-field models
• Analysis of bulk and surface contributions in the neutron skin of nuclei
• Temperature effects on the nuclear symmetry energy and symmetry free energy with an isospin and momentum dependent interaction
• Nuclear Symmetry Energy Extracted from Laboratory Experiments
• Density dependence of nuclear symmetry energy constrained by mean-field calculations
• Effects of isospin and momentum dependent interactions on thermal properties of asymmetric nuclear matter
• Excitation energy dependence of symmetry energy of finite nuclei
• Effects of isospin and momentum dependent interactions on liquid-gas phase transition in hot asymmetric nuclear matter
• Thermal effects on nuclear symmetry energy with a momentum-dependent effective interaction
• Pairing interactions and the vanishing pairing correlations in hot nuclei
• Evolution of the symmetry energy of hot neutron-rich matter formed in heavy-ion reactions
• Symmetry and Surface Symmetry Energies in Finite Nuclei
• Nuclear Superfluidity and Cooling Time of Neutron-Star Crust
• Symmetry Energy in Nuclear Surface
• The neutron skin of ${}^{208}$Pb and the density dependence of the symmetry energy
• Temperature dependence of the symmetry energy and neutron skins in Ni, Sn, and Pb isotopic chains
• Volume and surface contributions to the nuclear symmetry energy within the coherent density fluctuation model
• Ground-state properties and symmetry energy of neutron-rich and neutron-deficient Mg isotopes
• Effect of temperature on the effective mass and the neutron skin of nuclei
• Density dependence of symmetry free energy of hot nuclei
• Symmetry energy of hot nuclei in the relativistic Thomas-Fermi approximation
• Thermal properties of the nuclear surface

Cited by in corpus (7)

• Proton and neutron skins and symmetry energy of mirror nuclei
• 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
• Application of the coherent density fluctuation model to study the nuclear matter properties of finite nuclei within the relativistic mean-field formalism
• Symmetry energy properties of neutron-rich nuclei from the coherent density fluctuation model applied to nuclear matter calculations with Bonn potentials
• Incompressibility and Symmetry Energy of Neutron Star
• Isoscalar Giant Monopole Resonance in Spherical Nuclei as a Nuclear Matter Incompressibility Indicator
• Systematic study for the surface properties of neutron star