Density dependence of nuclear symmetry energy constrained by mean-field calculations

Abstract

We establish a correlation for the symmetry energy at saturation density $S_0$, slope parameter $L$ and curvature parameter $K_{\text{sym}}$ based on widely different mean field interactions. With the help of this correlation and available empirical and theoretical information, the density dependent behavior around the saturation density is determined. We compare the results obtained with the present approach with those by other analyses. With this obtained density dependent behavior of the symmetry energy, the neutron skin thickness of ${}^{208}$Pb and some properties of neutron stars are investigated. In addition, it is found that the expression $S(\rho )=S_0(\rho /{\rho }_0{)}^{\gamma }$ or $S(\rho )=12.5(\rho /{\rho }_0{)}^{2/3}+C_p(\rho /{\rho }_0{)}^{\gamma }$ does not reproduce the density dependence of the symmetry energy as predicted by the mean-field approach around nuclear saturation density.

6 pages, 4 figures

References in corpus (15)

• Neutron Star Observations: Prognosis for Equation of State Constraints
• Neutron-Rich Nuclei in Heaven and Earth
• Nuclear symmetry energy probed by neutron skin thickness of nuclei
• Neutron skin of 208Pb, nuclear symmetry energy, and the parity radius experiment
• Constraints on the symmetry energy and on neutron skins from the pygmy resonances in 68Ni and 132Sn
• Symmetry Energy I: Semi-Infinite Matter
• The Giant Dipole Resonance as a quantitative constraint on the symmetry energy
• Neutron and Proton Transverse Emission Ratio Measurements and the Density Dependence of the Asymmetry Term of the Nuclear Equation of State
• Neutron skin thickness in droplet model with surface width dependence: indications of softness of the nuclear symmetry energy
• Nuclear symmetry energy at subnormal densities from measured nuclear masses
• Isobaric yield ratios in heavy-ion reactions, and symmetry energy of neutron-rich nuclei at intermediate energies
• Symmetry Energy Effects on Fusion Cross Sections
• Constraining the high-density behavior of nuclear equation of state from strangeness production in heavy-ion collisions
• Mass and isospin dependence of symmetry energy coefficients of finite nuclei
• Nuclear symmetry energy and proton-rich reactions at intermediate energies

Cited by in corpus (11)

• Generic Constraints on the Relativistic Mean-Field and Skyrme-Hartree-Fock Models from the Pure Neutron Matter Equation of State
• Constraining the high-density nuclear symmetry energy with the transverse-momentum dependent elliptic flow
• Nuclear symmetry energy from the Fermi-energy difference in nuclei
• Density-dependent symmetry energy at subsaturation densities from nuclear mass differences
• Origin of symmetry energy in finite nuclei and density dependence of nuclear matter symmetry energy from measured alpha-decay energies
• Equation of state of nuclear matter from empirical constraints
• Correlations between the nuclear matter symmetry energy, its slope, and curvature from a nonrelativistic solvable approach and beyond
• ${}^3$H/${}^3$He ratio as a probe of the nuclear symmetry energy at sub-saturation densities
• Constraints on neutron skin thickness in 208Pb and density-dependent symmetry energy
• Dense nuclear matter and symmetry energy in strong magnetic fields
• Symmetry energy at subsaturation densities and the neutron skin thickness of 208Pb