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Properties of nuclear matter from macroscopic-microscopic mass formulas
Based on the standard Skyrme energy density functionals together with the
extended Thomas-Fermi approach, the properties of symmetric and asymmetric
nuclear matter represented in two macroscopic-microscopic mass formulas:
Lublin-Strasbourg nuclear drop energy (LSD) formula and Weizs\"acker-Skyrme
(WS*) formula, are extracted through matching the energy per particle of finite
nuclei. For LSD and WS*, the obtained incompressibility coefficients of
symmetric nuclear matter are MeV and MeV,
respectively. The slope parameter of symmetry energy at saturation density is
MeV for LSD and MeV for WS*, respectively, which
is compatible with the liquid-drop analysis of Lattimer and Lim [ApJ.
\textbf{771}, 51 (2013)]. The density dependence of the mean-field isoscalar
and isovector effective mass, and the neutron-proton effective masses splitting
for neutron matter are simultaneously investigated. The results are generally
consistent with those from the Skyrme Hartree-Fock-Bogoliubov calculations and
nucleon optical potentials, and the standard deviations are large and increase
rapidly with density. A better constraint for the effective mass is helpful to
reduce uncertainties of the depth of the mean-field potential.Comment: 5 figures, to appear in Phys. Lett.
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