Abstract
Based on the semi-classical Thomas-Fermi approximation together with the Skyrme energy-density functional, we study the deformation dependence of symmetry energy coefficients of finite nuclei. The symmetry energy coefficients of nuclei with mass number A = 40, 100, 150, 208 are extracted from two-parameter parabola fitting to the calculated energy per particle. We find that the symmetry energy coefficients decrease with the increase of nuclear quadrupole deformations, which is mainly due to the isospin dependence of the difference between the proton and neutron surface diffuseness. Large deformations of nuclei can cause the change of the symmetry energy coefficient by about 0.5 MeV and the influence of nuclear deformations on the symmetry energy coefficients is more evident for light and intermediate nuclei.
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Mo, Q., Liu, M., Cheng, L. et al. Deformation dependence of symmetry energy coefficients of nuclei. Sci. China Phys. Mech. Astron. 58, 82001 (2015). https://doi.org/10.1007/s11433-015-5667-6
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DOI: https://doi.org/10.1007/s11433-015-5667-6