Constraining the density dependence of symmetry energy from nuclear masses

Abstract

Empirically determined values of the nuclear volume and surface symmetry energy coefficients from nuclear masses are expressed in terms of density distributions of nucleons in heavy nuclei in the local density approximation. This is then used to extract the value of the symmetry energy slope parameter $L$. The density distributions in both spherical and well deformed nuclei calculated within microscopic framework with different energy density functionals give $L=59.0\pm 13.0$ MeV. Application of the method also helps in a precision determination of the neutron skin thickness of nuclei that are difficult to measure accurately.

6 pages including 3 figures, accepted in Phys. Rev. C (Rapid Comm.)

References in corpus (16)

• Theory of Core-Collapse Supernovae
• Neutron-Rich Nuclei in Heaven and Earth
• Nuclear symmetry energy probed by neutron skin thickness of nuclei
• Constraints on the symmetry energy and on neutron skins from the pygmy resonances in 68Ni and 132Sn
• 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
• Giant Quadrupole Resonances in 208Pb, the nuclear symmetry energy and the neutron skin thickness
• Pygmy Resonances and Neutron Skins
• Non-rotating and rotating neutron stars in the extended field theoretical model
• Asymmetric nuclear matter and neutron-skin in extended relativistic mean field model
• Nuclear symmetry energy at subnormal densities from measured nuclear masses
• Nuclear matter symmetry energy and the symmetry energy coefficient in the mass formula
• The Neutron Star Crust: Nuclear Physics Input
• Density dependence of nuclear symmetry energy constrained by mean-field calculations
• Excitation energy dependence of symmetry energy of finite nuclei

Cited by in corpus (16)

• Has a thick neutron skin in ${}^{208}$Pb been ruled out?
• Constraining the high-density nuclear symmetry energy with the transverse-momentum dependent elliptic flow
• Effects of the liquid-gas phase transition and cluster formation on the symmetry energy
• Sensitivity of elements of the symmetry energy of nuclear matter to the properties of neutron-rich systems
• Constraining the symmetry energy content of nuclear matter from nuclear masses: a covariance analysis
• Density-dependent symmetry energy at subsaturation densities from nuclear mass differences
• Equation of state of nuclear matter from empirical constraints
• Analysis of the neutron matter equation of state and the symmetry energy up to fourth order of chiral effective field theory
• Temperature dependence of the volume and surface contributions to the nuclear symmetry energy within the coherent density fluctuation model
• Constraining nuclear matter parameters from correlation systematics:a mean-field perspective
• Gravitational waves from isolated neutron stars: mass dependence of r-mode instability
• New quantification of symmetry energy from neutron skin thicknesses of ${}^{48}$Ca and ${}^{208}$Pb
• Limiting symmetry energy elements from empirical evidence
• Nuclear Symmetry Energy and Neutron Skin Thickness of ${}^{208}Pb$ using a finite range effective interaction
• Density Dependence of Nuclear Symmetry Energy
• Renormalization-Group Invariant Parity-Doublet Model for Nuclear and Neutron-Star Matter