Determining the density content of symmetry energy and neutron skin: an empirical approach

Abstract

The density dependence of nuclear symmetry energy remains poorly constrained. Starting from precise empirical values of the nuclear volume and surface symmetry energy coefficients and the nuclear saturation density, we show how in the ambit of microscopic calculations with different energy density functionals, the value of the symmetry energy slope parameter $L$ alongwith that for neutron skin can be put in tighter bounds. The value of $L$ is found to be $L$= 64$\pm$5 MeV. For ${}^{208}$Pb, the neutron skin thickness comes out to be 0.188 $\pm$0.014 fm. Knowing $L$, the method can be applied to predict neutron skins of other nuclei.

5 pages, Phys. Rev. Lett. (accpeted)

References in corpus (29)

• A New Parameterization for the Lagrangian Density of Relativistic Mean Field Theory
• Recent Progress and New Challenges in Isospin Physics with Heavy-Ion Reactions
• Isospin Asymmetry in Nuclei and Neutron Stars
• Theory of Core-Collapse Supernovae
• Neutron-Rich Nuclei in Heaven and Earth
• Nuclear symmetry energy probed by neutron skin thickness of nuclei
• Measurement of the Neutron Radius of 208Pb Through Parity-Violation in Electron Scattering
• Complete electric dipole response and the neutron skin in 208Pb
• Determination of the stiffness of the nuclear symmetry energy from isospin diffusion
• Neutron Radii in Mean-Field Models
• The information content of a new observable: the case of the nuclear neutron skin
• Constraints on the symmetry energy and on neutron skins from the pygmy resonances in 68Ni and 132Sn
• Electric dipole polarizability and the neutron skin
• Symmetry Energy I: Semi-Infinite Matter
• The neutron radii of Lead and neutron stars
• Connecting Neutron Star Observations to Three-Body Forces in Neutron Matter and to the Nuclear Symmetry Energy
• Surface Symmetry Energy
• The Giant Dipole Resonance as a quantitative constraint on the symmetry energy
• Density dependence of the symmetry energy and the nuclear equation of state: A Dynamical and Statistical model perspective
• 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
• Weak charge form factor and radius of 208Pb through parity violation in electron scattering
• Pygmy Resonances and Neutron Skins
• Proto-Neutron Star Cooling with Convection: The Effect of the Symmetry Energy
• Non-rotating and rotating neutron stars in the extended field theoretical model
• Asymmetric nuclear matter and neutron-skin in extended relativistic mean field model
• Empirical Proton-Neutron Interactions and Nuclear Density Functional Theory: Global, Regional and Local Comparisons
• Global properties of the Skyrme-force-induced nuclear symmetry energy
• Excitation energy dependence of symmetry energy of finite nuclei

Cited by in corpus (56)

• Equations of state for supernovae and compact stars
• Constraining the neutron-proton effective mass splitting using empirical constraints on the density dependence of nuclear symmetry energy around normal density
• Nuclear Equation of State from ground and collective excited state properties of nuclei
• Constraining the symmetry energy at subsaturation densities using isotope binding energy difference and neutron skin thickness
• Electric Dipole Polarizability in ${}^{208}$Pb: insights from the Droplet Model
• Giant Quadrupole Resonances in 208Pb, the nuclear symmetry energy and the neutron skin thickness
• Density dependence of the symmetry energy from neutron skin thickness in finite nuclei
• Interdependence of different symmetry energy elements
• Neutron skin uncertainties of Skyrme energy density functionals
• Bayesian Inference of the Symmetry Energy and the Neutron Skin in ${}^{48}$Ca and ${}^{208}$Pb from CREX and PREX-2
• The surface properties of neutron-rich exotic nuclei within relativistic mean field formalisms
• Nuclear charge and neutron radii and nuclear matter: trend analysis
• Nucleonic metamodelling in light of multimessenger, PREX-II and CREX data
• Model dependence of the neutron-skin thickness on the symmetry energy
• Sensitivity of elements of the symmetry energy of nuclear matter to the properties of neutron-rich systems
• Neutron Skin in CsI and Low-Energy Effective Weak Mixing Angle from COHERENT Data
• 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
• New constraints on the neutron-star mass and radius relation from terrestrial nuclear experiments
• Constraints on the Neutron Skin and the Symmetry Energy from the Anti-analog Giant Dipole Resonance in 208Pb
• Constraining the density dependence of symmetry energy from nuclear masses
• 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
• Nuclear symmetry energy and the role of three-body forces
• Symmetry energy of warm nuclear systems
• Properties of exotic nuclei and their linkage to the nucleonic interaction
• Effects of nuclear symmetry energy on eta meson production and its rare decay to the dark U-boson in heavy-ion reactions
• Analysis of the neutron matter equation of state and the symmetry energy up to fourth order of chiral effective field theory
• Constraints on neutron skin thickness in 208Pb and density-dependent symmetry energy
• Constraining slope parameter of symmetry energy from nuclear structure
• Constraining nuclear matter parameters from correlation systematics:a mean-field perspective
• Effect of neutron skin thickness on projectile fragmentation
• Probing Nuclear Symmetry Energy and its Imprints on Properties of Nuclei, Nuclear Reactions, Neutron Stars and Gravitational Waves
• Effective surface properties of light, heavy, and super-heavy nuclei
• Thermal properties of the nuclear surface
• The kinks in charge radii across $N$ = 82 and 126 revisited
• Correlations among symmetry energy elements in Skyrme models
• New quantification of symmetry energy from neutron skin thicknesses of ${}^{48}$Ca and ${}^{208}$Pb
• Diversities in the properties of neutron stars at a fixed neutron-skin thickness in ${}^{208}$Pb nucleus
• Propagation of uncertainties in the nuclear DFT models
• Isospin dependent properties of the isotopic chain of Scandium and Titanium nuclei within the relativistic mean-field formalism
• Appearance of peak in symmetry energy at N = 126 for Pb isotopic chain within relativistic energy density functional
• Nuclear Symmetry Energy and Neutron Skin Thickness of ${}^{208}Pb$ using a finite range effective interaction
• Limiting symmetry energy elements from empirical evidence
• The effect of neutron skin on inclusive prompt photon production in Pb~+~Pb collisions at the LHC
• Constraining the relativistic mean-field models from PREX-2 data: Effective forces revisited
• Neutron density distribution and neutron skin thickness of ${}^{208}$Pb
• Core-crust transition properties of neutron stars within systematically varied extended relativistic mean-field model
• Supernova Neutrinos as a Precise Probe of Nuclear Neutron Skin
• Symmetry energy effects on isovector properties of neutron rich nuclei with a Thomas-Fermi approach
• Density dependence of symmetry energy and neutron skin thickness revisited using relativistic mean field models with nonlinear couplings
• Persistence of the N = 50 shell closure over the isotopic chains of Sc, Ti, V and Cr nuclei using relativistic energy density functional
• Pairing effects on neutron matter equation of state and symmetry energy at subsaturation densities
• Physics-informed interpretable forms for dipole resonances and quantities relevant for astrophysics
• Renormalization-Group Invariant Parity-Doublet Model for Nuclear and Neutron-Star Matter
• Unified Equation of State for Neutron Stars Based on the Gogny Interaction