Properties of nuclear matter from macroscopic-microscopic mass formulas

Abstract

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 Weizsäcker-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 $K_{\infty }=230\pm 11$ MeV and $235\pm 11$ MeV, respectively. The slope parameter of symmetry energy at saturation density is $L=41.6\pm 7.6$ MeV for LSD and $51.5\pm 9.6$ 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.

5 figures, to appear in Phys. Lett. B

References in corpus (14)

• New parametrization for the nuclear covariant energy density functional with point-coupling interaction
• Surface diffuseness correction in global mass formula
• Nuclear symmetry energy probed by neutron skin thickness of nuclei
• The Giant Dipole Resonance as a quantitative constraint on the symmetry energy
• Isovector splitting of nucleon effective masses, ab-initio benchmarks and extended stability criteria for Skyrme energy functionals
• Nuclear symmetry energy and its density slope at normal density extracted from global nucleon optical potentials
• Mirror nuclei constraint in mass formula
• The influence of cluster emission and the symmetry energy on neutron-proton spectral double ratios
• Nuclear symmetry energy at subnormal densities from measured nuclear masses
• Neutron-proton effective mass splitting in neutron-rich matter at normal density from analyzing nucleon-nucleus scattering data within an isospin dependent optical model
• Nuclear matter symmetry energy and the symmetry energy coefficient in the mass formula
• Nuclear symmetry energy from the Fermi-energy difference in nuclei
• Systematic study of shell gaps in nuclei
• Mass dependence of symmetry energy coefficients in Skyrme force

Cited by in corpus (13)

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• Influence of differential elastic nucleon-nucleon cross section on stopping and collective flows in heavy-ion collisions at intermediate energies
• The effect of internal magnetic field on collective flow in heavy ion collisions at intermediate energies
• Symmetry energy properties of neutron-rich nuclei from the coherent density fluctuation model applied to nuclear matter calculations with Bonn potentials
• Nuclear Symmetry Energy and Neutron Skin Thickness of ${}^{208}Pb$ using a finite range effective interaction
• Statistical errors in Weizsaecker-Skyrme mass model
• Potential energy surface and formation of superheavy nuclei with the Skyrme energy-density functional
• Effect of liquid drop model parameters on nuclear liquid gas phase transition
• Level inversion in kaonic nuclei and the high-density nuclear equation of state
• Ground-state properties of light kaonic nuclei signaling symmetry energy at high densities