Bayesian Inference of the Symmetry Energy and the Neutron Skin in ${}^{48}$Ca and ${}^{208}$Pb from CREX and PREX-2

Abstract

Using the recent model-independent determination of the charge-weak form factor difference $\Delta F_{\mathrm{CW}}$ in ${}^{48}$Ca and ${}^{208}$Pb by the CREX and PREX-2 collaborations together with some well-determined properties of doubly magic nuclei, we perform Bayesian inference of the symmetry energy $E_{\mathrm{sym}}(\rho )$ and the neutron skin thickness $\Delta r_{\mathrm{np}}$ of ${}^{48}$Ca and ${}^{208}$Pb within the Skyrme energy density functional (EDF). We find the inferred $E_{\mathrm{sym}}(\rho )$ and $\Delta r_{\mathrm{np}}$ separately from CREX and PREX-2 are compatible with each other at $90\%$ C.L., although they are inconsistent at $68.3\%$ C.L. with CREX (PREX-2) favoring a very soft (stiff) $E_{\mathrm{sym}}(\rho )$ and rather small (large) $\Delta r_{\mathrm{np}}$. By combining the CREX and PREX-2 data, we obtain a soft symmetry energy around saturation density ${\rho }_0$ and thinner $\Delta r_{\mathrm{np}}$ of ${}^{48}$Ca and ${}^{208}$Pb, which are found to be closer to the corresponding results from CREX alone, implying the PREX-2 is less effective to constrain the $E_{\mathrm{sym}}(\rho )$ and $\Delta r_{\mathrm{np}}$ due to its lower precision of $\Delta F_{\mathrm{CW}}$. Furthermore, we find the Skyrme EDF results inferred by combining the CREX and PREX-2 data nicely agree with the measured dipole polarizabilities ${\alpha }_D$ in ${}^{48}$Ca and ${}^{208}$Pb as well as the neutron matter equation of state from microscopic calculations. The implications of the inferred soft $E_{\mathrm{sym}}(\rho )$ around ${\rho }_0$ are discussed.

arXiv comment8 pages, 7 figures, 3 tables. Significantly expanded to include many details and discussions. Accepted version to appear in PRC

References in corpus (69)

• The equation of state for nucleon matter and neutron star structure
• Neutron Star Observations: Prognosis for Equation of State Constraints
• Recent Progress and New Challenges in Isospin Physics with Heavy-Ion Reactions
• Equations of state for supernovae and compact stars
• Isospin Asymmetry in Nuclei and Neutron Stars
• Neutron Star Structure and the Neutron Radius of 208Pb
• Reaction Dynamics with Exotic Beams
• Constraints on the density dependence of the symmetry energy
• 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
• Implications of PREX-II on the equation of state of neutron-rich matter
• Complete electric dipole response and the neutron skin in 208Pb
• Nuclear Energy Density Optimization
• Neutron Radii in Mean-Field Models
• The maximum mass and radius of neutron stars and the nuclear symmetry energy
• 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 neutron star radii based on chiral effective field theory interactions
• Pulsar Constraints on Neutron Star Structure and Equation of State
• The information content of a new observable: the case of the nuclear neutron skin
• Constraining the neutron-proton effective mass splitting using empirical constraints on the density dependence of nuclear symmetry energy around normal density
• How well do we know the neutron-matter equation of state at the densities inside neutron stars? A Bayesian approach with correlated uncertainties
• Precision Determination of the Neutral Weak Form Factor of ${}^{48}$Ca
• Nuclear matter symmetry energy and the neutron skin thickness of heavy nuclei
• Density slope of the nuclear symmetry energy from the neutron skin thickness of heavy nuclei
• Symmetry Parameter Constraints From A Lower Bound On The Neutron-Matter Energy
• Electric dipole polarizability and the neutron skin
• Ab initio predictions link the neutron skin of ${}^{208}$Pb to nuclear forces
• Nuclear constraints on properties of neutron star crusts
• Constraints on the Symmetry Energy Using the Mass-Radius Relation of Neutron Stars
• The Giant Dipole Resonance as a quantitative constraint on the symmetry energy
• The neutron skin thickness from the measured electric dipole polarizability in ${}^{68}$Ni, ${}^{120}$Sn, and ${}^{208}$Pb
• Astrophysical Constraints on the Symmetry Energy and the Neutron Skin of ${}^{208}$Pb with Minimal Modeling Assumptions
• Neutron skin thickness in droplet model with surface width dependence: indications of softness of the nuclear symmetry energy
• Electric dipole polarizability of ${}^{48}$Ca and implications for the neutron skin
• 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
• The symmetry energy at subnuclear densities and nuclei in neutron star crusts
• Quantum Monte Carlo calculations of neutron matter with chiral three-body forces
• Constraints on the Skyrme Equations of State from Properties of Doubly Magic Nuclei
• Information content of the parity-violating asymmetry in ${}^{208}$Pb
• Super-soft symmetry energy encountering non-Newtonian gravity in neutron stars
• Correlated density-dependent chiral forces for infinite matter calculations within the Green's function approach
• Combined theoretical analysis of the parity-violating asymmetry for ${}^{48}$Ca and ${}^{208}Pb$
• New equations of state constrained by nuclear physics, observations, and QCD calculations of high-density nuclear matter
• Thermodynamics of isospin-asymmetric nuclear matter from chiral effective field theory
• Quantum Monte Carlo calculations of neutron matter with non-local chiral interactions
• Determining the density content of symmetry energy and neutron skin: an empirical approach
• Auxiliary-Field Quantum Monte Carlo Simulations of Neutron Matter in Chiral Effective Field Theory
• Electric Dipole Polarizability in ${}^{208}$Pb as a Probe of the Symmetry Energy and Neutron Matter around ${\rho }_0/3$
• Nuclear symmetry energy and core-crust transition in neutron stars: a critical study
• Symmetry Energy III: Isovector Skins
• Impact of PREX-II and combined Radio/NICER/XMM-Newton's mass-radius measurement of PSRJ0740+6620 on the dense matter equation of state
• Charge Radius of Neutron-deficient ${}^{54}$Ni and Symmetry Energy Constraints Using the Difference in Mirror Pair Charge Radii
• RES-NOVA: A new neutrino observatory based on archaeological lead
• Constraints on the Symmetry Energy from PREX-II in the Multimessenger Era
• Implications of PREX-2 on the electric dipole polarizability of neutron rich nuclei
• Implications of parity-violating electron scattering experiments on ${}^{48}$Ca (CREX) and ${}^{208}$Pb (PREX-II) for nuclear energy density functionals
• Testing the Mutually Enhanced Magicity Effect in Nuclear Incompressibility via the Giant Monopole Resonance in the ${}^{204,206,208}$Pb Isotopes
• Nuclear symmetry energy from the Fermi-energy difference in nuclei
• RES-NOVA sensitivity to core-collapse and failed core-collapse supernova neutrinos
• Positioning the neutron drip line and the r-process paths in the nuclear landscape
• Correlations between the nuclear breathing mode energy and properties of asymmetric nuclear matter
• Compressional-mode resonances in the molybdenum isotopes: Emergence of softness in open-shell nuclei near A=90
• Constraining isovector nuclear interactions with giant resonances within a Bayesian approach
• Nuclear Matter from Effective Quark-Quark Interaction
• Electric dipole polarizability in neutron-rich Sn isotopes as a probe of nuclear isovector properties
• Nuclear matter properties at finite temperatures from effective interactions
• Supernova Neutrinos as a Precise Probe of Nuclear Neutron Skin

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