Nuclear matter symmetry energy and the symmetry energy coefficient in the mass formula

Abstract

Within the Skyrme-Hartree-Fock (SHF) approach, we show that for a fixed mass number A, both the symmetry energy coefficient a_{sym}(A) in the semi-empirical mass formula and the nuclear matter symmetry energy E_{sym}(ρ_A) at a subsaturation reference density rho_A can be determined essentially by the symmetry energy E_{sym}(rho_0) and its density slope L at saturation density rho_0. Meanwhile, we find the dependence of a_{sym}(A) on E_{sym}(rho_0) or L is approximately linear and is very similar to the corresponding linear dependence displayed by E_{sym}(ρ_A), providing an explanation for the relation E_{sym}(ρ_A) \approx a_{sym}(A). Our results indicate that a value of E_{sym}(ρ_A) leads to a linear correlation between E_{sym}(rho_0) and L and thus can put important constraints on E_{sym}(rho_0) and L. Particularly, the values of E_{sym}(rho_0)= 30.5 +- 3 MeV and L= 52.5 +- 20 MeV are simultaneously obtained by combining the constraints from recently extracted E_{sym}(ρ_A=0.1 fm^{-3}) with those from recent analyses of neutron skin thickness of Sn isotopes in the same SHF approach.

6 pages, 2 figures. Minor Modifications. Accepted version to appear in PRC

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Cited by in corpus (18)

• Towards Understanding Astrophysical Effects of Nuclear Symmetry Energy
• Critical Density and Impact of $\Delta (1232)$ Resonance Formation in Neutron Stars
• Strong correlations of neutron star radii with the slopes of nuclear matter incompressibility and symmetry energy at saturation
• Generic Constraints on the Relativistic Mean-Field and Skyrme-Hartree-Fock Models from the Pure Neutron Matter Equation of State
• Constraining the density slope of nuclear symmetry energy at subsaturation densities using electric dipole polarizability in ${}^{208}$Pb
• Constraining the high-density nuclear symmetry energy with the transverse-momentum dependent elliptic flow
• Nuclear symmetry energy from the Fermi-energy difference in nuclei
• Proton and neutron skins and symmetry energy of mirror nuclei
• Bayesian inference of the incompressibility, skewness and kurtosis of nuclear matter from empirical pressures in relativistic heavy-ion collisions
• Isovector properties of quark matter and quark stars in an isospin-dependent confining model
• Correlations between the nuclear matter symmetry energy, its slope, and curvature from a nonrelativistic solvable approach and beyond
• Ground-state properties and symmetry energy of neutron-rich and neutron-deficient Mg isotopes
• Liquid-gas phase transition in hot asymmetric nuclear matter with density-dependent relativistic mean-field models
• 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
• Isoscalar Giant Monopole Resonance in Spherical Nuclei as a Nuclear Matter Incompressibility Indicator
• Nucleon Short-Range Correlations and High-Momentum Dynamics: Implications on the Equation of State of Dense Matter
• Ground-state properties of light kaonic nuclei signaling symmetry energy at high densities