Constraining the density slope of nuclear symmetry energy at subsaturation densities using electric dipole polarizability in ${}^{208}$Pb

Abstract

Nuclear structure observables usually most effectively probe the properties of nuclear matter at subsaturation densities rather than at saturation density. We demonstrate that the electric dipole polarizibility ${\alpha }_{\text{D}}$ in ${}^{208}$Pb is sensitive to both the magnitude $E_{\text{sym}}({\rho }_{\text{c}})$ and density slope $L({\rho }_{\text{c}})$ of the symmetry energy at a subsaturation cross density ${\rho }_{\text{c}}=0.11$ fm${}^{-3}$. Using the experimental data of ${\alpha }_{\text{D}}$ in ${}^{208}$Pb from RCNP and the recent accurate constraint of $E_{\text{sym}}({\rho }_{\text{c}})$ from the binding energy difference of heavy isotope pairs, we extract a value of $L({\rho }_{\text{c}})=47.3\pm 7.8$ MeV. The implication of the present constraint of $L({\rho }_{\text{c}})$ to the symmetry energy at saturation density, the neutron skin thickness of ${}^{208}$Pb and the core-crust transition density in neutron stars is discussed.

7 pages, 3 figures. Significantly expanded to include some details and discussions. Accepted version to appear in PRC

References in corpus (16)

• Neutron Star Observations: Prognosis for Equation of State Constraints
• Nuclear symmetry energy probed by neutron skin thickness of nuclei
• 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
• Symmetry Energy I: Semi-Infinite Matter
• The Giant Dipole Resonance as a quantitative constraint on the symmetry energy
• 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
• Giant Quadrupole Resonances in 208Pb, the nuclear symmetry energy and the neutron skin thickness
• Locating the inner edge of neutron star crust using terrestrial nuclear laboratory data
• Effects of self-consistency violation in Hartree-Fock RPA calculations for nuclear giant resonances revisited
• Nuclear symmetry energy at subnormal densities from measured nuclear masses
• Nuclear matter symmetry energy and the symmetry energy coefficient in the mass formula
• Nuclear symmetry energy from the Fermi-energy difference in nuclei
• Charge Exchange Spin-Dipole Excitations of 90Zr and 208Pb and Neutron Matter Equation of State
• Quantifying Correlations Between Isovector Observables and the Density Dependence of Nuclear Symmetry Energy away from Saturation Density

Cited by in corpus (26)

• Critical Density and Impact of $\Delta (1232)$ Resonance Formation in Neutron Stars
• Constraints on the symmetry energy and its associated parameters from nuclei to neutron stars
• Interdependence of different symmetry energy elements
• Probing the neutron skin with ultrarelativistic isobaric collisions
• Equation of state of dense matter in the multimessenger era
• Constraining compact star properties with nuclear saturation parameters
• Probing nuclear structure with mean transverse momentum in relativistic isobar 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 $2.14_{-0.09}^{+0.10}{M}_{\odot }$
• Constraining isovector nuclear interactions with giant resonances within a Bayesian approach
• Nuclear matter fourth-order symmetry energy in non-relativistic mean-field models
• Measuring neutron skin by grazing isobaric collisions
• Electric dipole polarizability in neutron-rich Sn isotopes as a probe of nuclear isovector properties
• Bayesian uncertainty quantification for nuclear matter incompressibility
• From neutron skins and neutron matter to the neutron star crust
• Bayesian inference of finite-nuclei observables based on the KIDS model
• New quantification of symmetry energy from neutron skin thicknesses of ${}^{48}$Ca and ${}^{208}$Pb
• Nuclear Symmetry Energy and Neutron Skin Thickness of ${}^{208}Pb$ using a finite range effective interaction
• Density dependence of symmetry energy and neutron skin thickness revisited using relativistic mean field models with nonlinear couplings
• Correlation between the charge radii difference in mirror partner nuclei and the symmetry energy slope
• Constraining neutron star properties through parity-violating electron scattering experiments and relativistic point coupling interactions
• Pairing effects on neutron matter equation of state and symmetry energy at subsaturation densities
• Neutron Star Radii from Laboratory Experiments
• Probing neutron skin and symmetry energy with relativistic isobar collisions
• Density Dependence of Nuclear Symmetry Energy
• Dipole Polarizability of Finite Nuclei as a Probe of Neutron Stars