Wang, N (reprint author), Guangxi Normal Univ, Dept Phys, Guilin 541004, Peoples R China.
Based on the semiclassical extended Thomas-Fermi approach, we study the mass dependence of the symmetry energy coefficients of finite nuclei for 36 different Skyrme forces. The reference densities of both light and heavy nuclei are obtained. Eight models based on the nuclear liquid drop concept and the Skyrme force SkM* suggest the symmetry energy coefficient a(sym) = 22.90 +/- 0.15 MeV at A = 260, and the corresponding reference density is rho(A) similar or equal to 0.1 fm(-3) at this mass region. The standard Skyrme energy density functionals give negative values for the coefficient of the I-4 term in the binding energy formula, whereas the latest Weizsacker-Skyrme formula and the experimental data suggest positive values for the coefficient.
National Natural Science Foundation of China [11275052, 11365005, 11422548, 11475004, 11225524, 11305101]
; 973 Program of China [2013CB834401]
; State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, China [Y4KF041CJ1]