Constraining the symmetry energy at subsaturation densities using isotope binding energy difference and neutron skin thickness

Abstract

We show that the neutron skin thickness $\Delta r_{np}$ of heavy nuclei is uniquely fixed by the symmetry energy density slope $L(\rho )$ at a subsaturation cross density ${\rho }_c\approx 0.11$ fm${}^{-3}$ rather than at saturation density ${\rho }_0$, while the binding energy difference $\Delta E$ between a heavy isotope pair is essentially determined by the magnitude of the symmetry energy $E_{\text{sym}}(\rho )$ at the same ${\rho }_c$. Furthermore, we find a value of $L({\rho }_c)$ leads to a negative $E_{\text{sym}}({\rho }_0)$-$L({\rho }_0)$ correlation while a value of $E_{\text{sym}}({\rho }_c)$ leads to a positive one. Using data on $\Delta r_{np}$ of Sn isotopes and $\Delta E$ of a number of heavy isotope pairs, we obtain simultaneously $E_{\text{sym}}({\rho }_c)=26.65\pm 0.20$ MeV and $L({\rho }_c)=46.0\pm 4.5$ MeV at 95% confidence level, whose extrapolation gives $E_{\text{sym}}({\rho }_0)=32.3\pm 1.0$ MeV and $L({\rho }_0)=45.2\pm 10.0$ MeV. The implication of these new constraints on the $\Delta r_{np}$ of ${}^{208}$Pb and the core-crust transition density in neutron stars is discussed.

6 pages, 4 figures, 1 table. Discussions added. Accepted version to appear in PLB

References in corpus (15)

• Neutron Star Observations: Prognosis for Equation of State Constraints
• The Nuclear Equation of State and Neutron Star Masses
• 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
• Neutron matter at next-to-next-to-next-to-leading order in chiral effective field theory
• Constraints on the symmetry energy and on neutron skins from the pygmy resonances in 68Ni and 132Sn
• Neutron skin thickness in droplet model with surface width dependence: indications of softness of the nuclear symmetry energy
• Nuclear symmetry energy and its density slope at normal density extracted from global nucleon optical potentials
• Constraints on Neutron Star Crusts From Oscillations in Giant Flares
• Locating the inner edge of neutron star crust using terrestrial nuclear laboratory data
• Proton elastic scattering from tin isotopes at 295 MeV and systematic change of neutron density distributions
• Determining the density content of symmetry energy and neutron skin: an empirical approach
• Nuclear symmetry energy and core-crust transition in neutron stars: a critical study
• Nuclear matter symmetry energy and the symmetry energy coefficient in the mass formula

Cited by in corpus (136)

• Equations of state for supernovae and compact stars
• Implications of PREX-II on the equation of state of neutron-rich matter
• Constraining the neutron-proton effective mass splitting using empirical constraints on the density dependence of nuclear symmetry energy around normal density
• Constraining Neutron-Star Matter with Microscopic and Macroscopic Collisions
• Building relativistic mean field models for finite nuclei and neutron stars
• Results of the ASY-EOS experiment at GSI: The symmetry energy at suprasaturation density
• Nuclear Equation of State from ground and collective excited state properties of nuclei
• Towards Understanding Astrophysical Effects of Nuclear Symmetry Energy
• Searching for isovector signatures in the neutron-rich oxygen and calcium isotopes
• Probing the Symmetry Energy with the Spectral Pion Ratio
• Quarkyonic Matter Equation of State in Beta-Equilibrium
• Constraints on Nuclear Symmetry Energy Parameters
• Density dependence of the symmetry energy from neutron skin thickness in finite nuclei
• Critical Density and Impact of $\Delta (1232)$ Resonance Formation in Neutron Stars
• Electric Dipole Polarizability in ${}^{208}$Pb as a Probe of the Symmetry Energy and Neutron Matter around ${\rho }_0/3$
• Bayesian Inference of the Symmetry Energy of Super-Dense Neutron-Rich Matter from Future Radius Measurements of Massive Neutron Stars
• Theoretical and Experimental Constraints for the Equation of State of Dense and Hot Matter
• Constraining the symmetry energy with heavy-ion collisions and Bayesian analyses
• Symmetry Energy III: Isovector Skins
• Constraints on the symmetry energy and its associated parameters from nuclei to neutron stars
• Decoding the Density Dependence of the Nuclear Symmetry Energy
• Interdependence of different symmetry energy elements
• Probing the neutron skin with ultrarelativistic isobaric collisions
• Effects of the symmetry energy on properties of neutron star crusts near the neutron drip density
• Feasability of constraining the curvature parameter of the symmetry energy using elliptic flow data
• Asteroseismology: radial oscillations of neutron stars with realistic equation of state
• Bayesian Inference of the Symmetry Energy and the Neutron Skin in ${}^{48}$Ca and ${}^{208}$Pb from CREX and PREX-2
• Constraints on the Symmetry Energy from PREX-II in the Multimessenger Era
• Collision dynamics at medium and relativistic energies
• Medium effects on pion production in heavy ion collisions
• Constraining the density slope of nuclear symmetry energy at subsaturation densities using electric dipole polarizability in ${}^{208}$Pb
• Equation of state of dense matter in the multimessenger era
• Constraints on the skewness coefficient of symmetric nuclear matter within the nonlinear relativistic mean field model
• Ranking Love numbers for the neutron star equation of state: The need for third-generation detectors
• Implications of PREX-2 on the electric dipole polarizability of neutron rich nuclei
• Nuclear matter properties from local chiral interactions with $\Delta$ isobar intermediate states
• Influence of the symmetry energy on nuclear pasta in neutron star crusts
• Difference in proton radii of mirror nuclei as a possible surrogate for the neutron skin
• Extended Skyrme interactions for nuclear matter, finite nuclei and neutron stars
• Isospin splitting of nucleon effective mass from giant resonances in ${}^{208}$Pb
• Bayesian inference of nuclear symmetry energy from measured and imagined neutron skin thickness in ${}^{116,118,120,122,124,130,132}$Sn, ${}^{208}$Pb, and ${}^{48}$Ca
• Probing isospin- and momentum-dependent nuclear effective interactions in neutron-rich matter
• Constraining compact star properties with nuclear saturation parameters
• Effects of the liquid-gas phase transition and cluster formation on the symmetry energy
• Constraining the density dependence of the symmetry energy using the multiplicity and average $p_T$ ratios of charged pions
• Nuclear symmetry energy and hadron-quark mixed phase in neutron stars
• Role of the symmetry energy and the neutron-matter stiffness on the tidal deformability of a neutron star with unified equations of state
• Impact of the neutron-star deformability on equation of state parameters
• Probing nuclear structure with mean transverse momentum in relativistic isobar collisions
• New insights into nuclear physics and weak mixing angle using electroweak probes
• Sensitivity of elements of the symmetry energy of nuclear matter to the properties of neutron-rich systems
• Density-dependent symmetry energy at subsaturation densities from nuclear mass differences
• Hadron-quark mixed phase in the quark-meson coupling model
• Positioning the neutron drip line and the r-process paths in the nuclear landscape
• Probing neutron-skin thickness with free spectator neutrons in ultracentral high-energy isobaric collisions
• Influence of neutron-skin thickness on ${\pi }^{-}/{\pi }^{+}$ ratio in Pb+Pb collisions
• Constraining nuclear symmetry energy with the charge radii of mirror-pair nuclei
• Ruling out the supersoft high-density symmetry energy from the discovery of PSR J0740+6620 with mass $2.14_{-0.09}^{+0.10}{M}_{\odot }$
• Symmetry energy systematics and its high density behavior
• Hybrid stars in light of the HESS J1731-347 remnant and the PREX-II experiment
• Properties of nuclear matter from macroscopic-microscopic mass formulas
• Correlations between charge radii differences of mirror nuclei and stellar observables
• Extended Skyrme interactions for transport model simulations of heavy-ion collisions
• Low density nuclear matter with quantum molecular dynamics : The role of the symmetry energy
• Prior probability distributions of neutron star crust models
• Correlations between the nuclear matter symmetry energy, its slope, and curvature from a nonrelativistic solvable approach and beyond
• Constraining three-nucleon forces with multimessenger data
• Nuclear matter fourth-order symmetry energy in non-relativistic mean-field models
• Mass dependence of symmetry energy coefficients in Skyrme force
• ${}^3$H/${}^3$He ratio as a probe of the nuclear symmetry energy at sub-saturation densities
• Measuring neutron skin by grazing isobaric collisions
• The Hadron-Quark Crossover in Neutron Star within Gaussian Process Regression Method
• Influence of the single-particle structure on the nuclear surface and the neutron skin
• The induced surface tension contribution for the equation of state of neutron stars
• Neutron Density Distributions of Neutron-Rich Nuclei Studied with the Isobaric Yield Ratio Difference
• Nuclear pasta structures and symmetry energy
• Empirical information on nuclear matter fourth-order symmetry energy from an extended nuclear mass formula
• Role of the symmetry energy on the neutron-drip transition in accreting and nonaccreting neutron stars
• Bayesian uncertainty quantification for nuclear matter incompressibility
• Nuclear collective dynamics in the lattice Hamiltonian Vlasov method
• Constraints on neutron skin thickness in 208Pb and density-dependent symmetry energy
• Bayesian model averaging for nuclear symmetry energy from effective proton-neutron chemical potential difference of neutron-rich nuclei
• Form Factor Effects in the Direct Detection of Isospin-Violating Dark Matter
• Unified equations of state for cold non-accreting neutron stars with Brussels-Montreal functionals. IV. Role of the symmetry energy in pasta phases
• Constraining isovector nuclear interactions with giant dipole resonance and neutron skin in ${}^{208}$Pb from a Bayesian approach
• Old neutron stars as probes of isospin-violating dark matter
• Measuring deformed neutron skin with free spectator nucleons in relativistic heavy-ion collisions
• Studies of the equation-of-state of nuclear matter by heavy-ion collisions at intermediate energy in the multi-messenger era
• Free spectator nucleons in ultracentral relativistic heavy-ion collisions as a probe of neutron skin
• Perturbation Theory of Nuclear Matter with a Microscopic Effective Interaction
• Influence of differential elastic nucleon-nucleon cross section on stopping and collective flows in heavy-ion collisions at intermediate energies
• Bayesian inference of finite-nuclei observables based on the KIDS model
• Strange Quark Stars as Probe of Dark Matter
• The effect of internal magnetic field on collective flow in heavy ion collisions at intermediate energies
• Equation of state in the pion condensation phase in the asymmetric nuclear matter using a holographic QCD model
• New quantification of symmetry energy from neutron skin thicknesses of ${}^{48}$Ca and ${}^{208}$Pb
• Quantifying Correlations Between Isovector Observables and the Density Dependence of Nuclear Symmetry Energy away from Saturation Density
• Symmetry energy dependence of long timescale isospin transport
• Bayesian inference of neutron-skin thickness and neutron-star observables based on effective nuclear interactions
• Symmetry energy properties of neutron-rich nuclei from the coherent density fluctuation model applied to nuclear matter calculations with Bonn potentials
• Symmetry energy at subsaturation densities and the neutron skin thickness of 208Pb
• Auxiliary Function Approach for Determining Symmetry Energy at Supra-saturation Densities
• Modification of the Nuclear Landscape in the Inverse Problem Framework using the Generalized Bethe-Weizsäcker Mass Formula
• Evolution of nuclear charge radii in copper and indium isotopes
• Incompressibility and Symmetry Energy of Neutron Star
• Nuclear pasta and symmetry energy in the relativistic point-coupling model
• Nuclear Symmetry Energy and Neutron Skin Thickness of ${}^{208}Pb$ using a finite range effective interaction
• Effects of finite size and symmetry energy on the phase transition of stellar matter at subnuclear densities
• Relativistic self-energy decomposition of nuclear symmetry energy and equation of state of neutron matter within QCD sum rules
• Constraining the relativistic mean-field models from PREX-2 data: Effective forces revisited
• Neutron density distribution and neutron skin thickness of ${}^{208}$Pb
• Influence of effective nucleon mass on equation of state for supernova simulations and neutron stars
• Supernova Neutrinos as a Precise Probe of Nuclear Neutron Skin
• Effects of incompressibility $K_0$ in heavy-ion collisions at intermediate energies
• Cold dilute nuclear matter with $\alpha$-particle condensation in a generalized nonlinear relativistic mean-field model
• High Density with Elliptic Flows
• Quark condensate and chiral symmetry restoration in neutron stars
• Symmetry energy effects on isovector properties of neutron rich nuclei with a Thomas-Fermi approach
• Neutron star structure in an in-medium modified chiral soliton model
• Correlation between the charge radii difference in mirror partner nuclei and the symmetry energy slope
• Density-dependent quark mean-field model for nuclear matter and neutron stars
• Density dependence of symmetry energy and neutron skin thickness revisited using relativistic mean field models with nonlinear couplings
• Pairing effects on neutron matter equation of state and symmetry energy at subsaturation densities
• Neutron matter within QCD sum rules
• Neutron Star Radii from Laboratory Experiments
• Density Dependence of Nuclear Symmetry Energy
• Impact of choices for center-of-mass correction energy on the surface energy of Skyrme energy density functionals
• Probing neutron skin and symmetry energy with relativistic isobar collisions
• High-order isospin-dependent surface tension contribution to the fourth-order symmetry energy of finite nuclei
• Skewness of nuclear matter and three-particle correlations
• In-medium $\Delta (1232)$ potential, pion production in heavy-ion collisions and the symmetry energy
• Constraining neutron-proton effective mass splitting through nuclear giant dipole resonance within transport approach
• Ground-state properties of light kaonic nuclei signaling symmetry energy at high densities
• Investigating the possibility of extracting neutron-skin thickness in nuclei by their collisions at intermediate energies
• Phase-space excluded-volume approach for light clusters in nuclear medium
• Effects of isoscalar- and isovector-scalar meson mixing on neutron star structure