Information content of the parity-violating asymmetry in ${}^{208}$Pb

Abstract

The parity violating asymmetry $A_{PV}$ in ${}^{208}$Pb, recently measured by the PREX-2 collaboration, is studied using modern relativistic (covariant) and non-relativistic energy density functionals. We first assess the theoretical uncertainty on $A_{PV}$ which is intrinsic to the adopted approach. To this end, we use quantified functionals that are able to accommodate our previous knowledge on nuclear observables such as binding energies, charge radii, and the dipole polarizability ${\alpha }_D$ of ${}^{208}$Pb. We then add the quantified value of $A_{PV}$ together with ${\alpha }_D$ to our calibration dataset to optimize new functionals. Based on these results, we predict a neutron skin thickness in ${}^{208}$Pb $r_{\mathrm{skin}}=0.19\pm 0.02$\,fm and the symmetry-energy slope $L=54\pm 8$\,MeV. These values are consistent with other estimates based on astrophysical data and are significantly lower than those recently reported using a particular set of relativistic energy density functionals. We also make a prediction for the $A_{PV}$ value in ${}^{48}$Ca that will be soon available from the CREX measurement.

arXiv comment11 pages, 6 figures

References in corpus (50)

• Equations of state for supernovae and compact stars
• Accurate Determination of the Neutron Skin Thickness of ${}^{208}$Pb through Parity-Violation in Electron Scattering
• Nuclear symmetry energy probed by neutron skin thickness of nuclei
• Relativistic Nuclear Energy Density Functionals: adjusting parameters to binding energies
• Implications of PREX-II on the equation of state of neutron-rich matter
• Complete electric dipole response and the neutron skin in 208Pb
• Constraining the Symmetry Parameters of the Nuclear Interaction
• Neutron Radii in Mean-Field Models
• Neutron skin of 208Pb, nuclear symmetry energy, and the parity radius experiment
• Relativistic Hartree-Bogoliubov model with density-dependent meson-nucleon couplings
• The information content of a new observable: the case of the nuclear neutron skin
• Parity Violating Measurements of Neutron Densities
• Constraining the neutron-proton effective mass splitting using empirical constraints on the density dependence of nuclear symmetry energy around normal density
• Error Estimates of Theoretical Models: a Guide
• How well do we know the neutron-matter equation of state at the densities inside neutron stars? A Bayesian approach with correlated uncertainties
• Nuclear matter symmetry energy and the neutron skin thickness of heavy nuclei
• Electric dipole polarizability and the neutron skin
• Nuclear Equation of State from ground and collective excited state properties of nuclei
• The neutron skin thickness from the measured electric dipole polarizability in ${}^{68}$Ni, ${}^{120}$Sn, and ${}^{208}$Pb
• Progress in Constraining Nuclear Symmetry Energy Using Neutron Star Observables Since GW170817
• Precision Measurements of the Nucleon Strange Form Factors at Q^2 ~0.1 GeV^2
• Astrophysical Constraints on the Symmetry Energy and the Neutron Skin of ${}^{208}$Pb with Minimal Modeling Assumptions
• Electric dipole polarizability of ${}^{48}$Ca and implications for the neutron skin
• Revisiting parity non-conservation in cesium
• Electric Dipole Polarizability in ${}^{208}$Pb: insights from the Droplet Model
• A new Skyrme interaction with improved spin-isospin properties
• Pygmy Resonances and Neutron Skins
• Coherent elastic neutrino-nucleus scattering: EFT analysis and nuclear responses
• Nucleon Charge and Magnetization Densities from Sachs Form Factors
• The Weak Neutral Current
• Parity Violating Elastic Electron Scattering and Coulomb Distortions
• Global Analysis of Nucleon Strange Form Factors at Low $Q^2$
• Electroweak Measurements of Neutron Densities in CREX and PREX at JLab, USA
• Impact of PREX-II and combined Radio/NICER/XMM-Newton's mass-radius measurement of PSRJ0740+6620 on the dense matter equation of state
• Nuclear charge densities in spherical and deformed nuclei: towards precise calculations of charge radii
• Isotopic variation of parity violation in atomic ytterbium
• Neutron skin uncertainties of Skyrme energy density functionals
• Information content of the weak-charge form factor
• Impact of spin-orbit currents on the electroweak skin of neutron-rich nuclei
• The nuclear symmetry energy and the breaking of the isospin symmetry: how do they reconcile with each other?
• Global properties of the Skyrme-force-induced nuclear symmetry energy
• Systematics of collective correlation energies from self-consistent mean-field calculations
• Symmetry energy in nuclear density functional theory
• Nuclear charge and neutron radii and nuclear matter: trend analysis
• Nucleon strange electromagnetic form factors
• Error estimates for the Skyrme-Hartree-Fock model
• Exploration of a modified density dependence in the Skyrme functional
• Charge radii of the nucleon from its flavor dependent Dirac form factors
• The full weak charge density distribution of 48Ca from parity violating electron scattering
• Reduced uncertainty of the axial $\gamma Z$-box correction to the proton's weak charge

Cited by in corpus (74)

• Ab initio predictions link the neutron skin of ${}^{208}$Pb to nuclear forces
• Dense Nuclear Matter Equation of State from Heavy-Ion Collisions
• Constraints on Nuclear Symmetry Energy Parameters
• Combined theoretical analysis of the parity-violating asymmetry for ${}^{48}$Ca and ${}^{208}Pb$
• Heavy Baryons in Compact Stars
• A Detailed Examination of Astrophysical Constraints on the Symmetry Energy and the Neutron Skin of ${}^{208}$Pb with Minimal Modeling Assumptions
• Theoretical and Experimental Constraints for the Equation of State of Dense and Hot Matter
• Relativistic hybrid stars in light of the NICER PSR J0740+6620 radius measurement
• Bayesian Inference of the Symmetry Energy and the Neutron Skin in ${}^{48}$Ca and ${}^{208}$Pb from CREX and PREX-2
• Can the PREX-2 and CREX results be understood by relativistic mean-field models with the astrophysical constraints?
• Implications of parity-violating electron scattering experiments on ${}^{48}$Ca (CREX) and ${}^{208}$Pb (PREX-II) for nuclear energy density functionals
• Nucleonic metamodelling in light of multimessenger, PREX-II and CREX data
• Large and massive neutron stars: Implications for the sound speed in dense QCD
• Information content of the differences in the charge radii of mirror nuclei
• Nuclear charge radii of silicon isotopes
• Low-energy nuclear physics and global neutron star properties
• Neutron stars and the dense matter equation of state: from microscopic theory to macroscopic observations
• New constraints on the neutron-star mass and radius relation from terrestrial nuclear experiments
• Systematic analysis of the impacts of symmetry energy parameters on neutron star properties
• Bulk Viscosity of Relativistic $npe\mu$ Matter in Neutron-Star Mergers
• Relativistic mean field model for ultra-compact low mass neutron star of HESS J1731-347
• Effect of isovector scalar meson on equation of state of dense matter within relativistic mean field model
• Chiral symmetry restoration and the $\Delta$ matter formation in neutron stars
• Relativistic hybrid stars with sequential first-order phase transitions in light of multimessenger constraints
• Reconciling multi-messenger constraints with chiral symmetry restoration
• Electric dipole polarizability of ${}^{40}$Ca
• Impact of Symmetry Energy on Sound Speed and Spinodal Decomposition in Dense Neutron-Rich Matter
• Baryonic models of ultra-low-mass compact stars for the central compact object in HESS J1731-347
• CREX- and PREX-II-motivated relativistic interactions and their implications for the bulk properties of nuclear matter and neutron stars
• Universal relations for compact stars with heavy baryons
• Ultracompact hybrid stars consistent with multimessenger astrophysics
• Delta baryons in neutron stars
• Constraining equation of state of nuclear matter by charge-changing cross section measurements of mirror nuclei
• Sensitivity of Parity-violating Electron Scattering to a Dark Photon
• Covariant Density Functional Theory with Localized Exchange Terms
• Observational constraint from the heaviest pulsar PSR J0952-0607 on the equation of state of dense matter in relativistic mean field model
• Magnetar QPOs and neutron star crust elasticity
• Bayesian model averaging for nuclear symmetry energy from effective proton-neutron chemical potential difference of neutron-rich nuclei
• First Determination of the 27Al Neutron Distribution Radius from a Parity-Violating Electron Scattering Measurement
• Toward ab initio charge symmetry breaking in nuclear energy density functionals
• A Bayesian mixture model approach to quantifying the empirical nuclear saturation point
• Incorporating the weak mixing angle dependence to reconcile the neutron skin measurement on 208Pb by PREX-II
• Effects of Coulomb and isospin symmetry breaking interactions on neutron-skin thickness
• Novel Scalings of Neutron Star Properties from Analyzing Dimensionless Tolman--Oppenheimer--Volkoff Equations
• Massive relativistic compact stars from SU(3) symmetric quark models
• New quantification of symmetry energy from neutron skin thicknesses of ${}^{48}$Ca and ${}^{208}$Pb
• Empirical neutron star mass formula based on experimental observables
• Modern nuclear and astrophysical constraints of dense matter in a renormalized chiral approach
• Effects of neutron-skin thickness on direct hard photon emission from reactions induced by the neutron-rich projectile ${}^{50}$Ca
• The relationship of the neutron-skin thickness to the symmetry energy and its slope
• QED corrections to the parity-violating asymmetry in high-energy electron-nucleus collisions
• Bayesian inferences on covariant density functionals from multimessenger astrophysical data: Nucleonic models
• Strong magnetic fields and pasta phases revisited
• Impact of ground-state properties and collective excitations on the Skyrme ansatz: a Bayesian study
• On the nature of compact stars determined by gravitational waves, radio-astronomy, x-ray emission and nuclear physics
• Bayesian analysis of a relativistic hadronic model constrained by recent astrophysical observations
• Ab initio computations of the fourth-order charge density moments of ${}^{48}$Ca and ${}^{208}$Pb
• Universal laws for nuclear contacts
• Equation of State Independent Determination on the Radius of a 1.4 $M_{\odot }$ Neutron Star Using Mass-Radius Measurements
• Model-Independent Determination of the Tidal Deformability of a 1.4 $M_{\odot }$ Neutron Star from Gravitational-Wave Measurements
• The nucleardatapy toolkit for simple access to experimental nuclear data, astrophysical observations, and theoretical predictions
• Electric dipole polarizability constraints on neutron skin and symmetry energy
• Nuclear masses and the equation of state of nuclear matter
• Nuclear physics inputs for dense-matter modelling in neutron stars. The nuclear equation of state
• Recent astrophysical observations reproduced by a short-range correlated van der Waals-type model?
• I-C-Q relations for rapidly rotating stable hybrid stars
• Novel features of asymmetric nuclear matter from terrestrial experiments and astrophysical observations of neutron stars
• Direct Inference of Nuclear Equation-of-State Parameters from Gravitational-Wave Observations
• Inner crust equations of state for CompOSE
• Neutron skin impurity from Coulomb core polarization in ${}^{208}\text{Pb}$: Insights from PREX-II and validation via the ${(}^3\text{He},t)$ isobaric analog state reaction
• Dipole Polarizability of Finite Nuclei as a Probe of Neutron Stars
• Effects of isovector spin-orbit interaction on the charge-weak form factor difference in ${}^{48}$Ca, ${}^{208}$Pb, ${}^{90}$Zr and ${}^{62}$Ni
• Bayesian inferences on covariant density functionals from multimessenger astrophysical data: Influences of parametrizations of density dependent couplings
• Equation-of-State Independent Relations in Rapidly Rotating Hybrid Stars