Mass dependence of symmetry energy coefficients in Skyrme force

Abstract

Based on the semi-classical 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 nuclear liquid drop concept and the Skyrme force SkM* suggest the symmetry energy coefficient $a_{\mathrm{sym}}=22.90\pm 0.15$ MeV at $A=260$, and the corresponding reference density is ${\rho }_A\simeq 0.1$ 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 Weizsäcker-Skyrme formula and the experimental data suggest positive values for the coefficient.

6 figures, accepted for publication in Phys. Rev. C

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• Empirical information on nuclear matter fourth-order symmetry energy from an extended nuclear mass formula
• Nuclear Symmetry Energy and Neutron Skin Thickness of ${}^{208}Pb$ using a finite range effective interaction
• Limiting symmetry energy elements from empirical evidence
• Effect of Wigner energy on the symmetry energy coefficient in nuclei
• Density Dependence of Nuclear Symmetry Energy