Density and Temperature Depdendent Symmetry Energy

Abstract：

Within the framework of Hartree-Fock theory by using the extended Skyrme effective interaction, the density dependence of symmetry energy is derived analytically with parabolic approximation at zero-crmperature. It is shown that the parabolic approximahon is applicable within a rather large density region and almost for all relative neutron excess. The symmetry energy depends on density terms of ρ^2/3,ρ, ρ^γ+1, ρ^5/3 and ρ^γ5/3. At finite temperatures, the Parabolic approximahon between symmetry energy and relative neutron excess is still appropriate. In addition, the temperature dependence of symmeny energy is predicted. It is found that the symmetry energy decrease with increment of tempendre and the Parabolic law between symmetry energy and temperatUre is satisfied at lower temperatures.