Insights into nuclear saturation density from parity violating electron scattering

Abstract

The saturation density of nuclear matter ${\rho }_0$ is a fundamental nuclear physics property that is difficult to predict from fundamental principles. The saturation density is closely related to the interior density of a heavy nucleus, such as ${}^{208}$Pb. We use parity violating electron scattering to determine the average interior weak charge and baryon densities in ${}^{208}$Pb. This requires not only measuring the weak radius $R_{\mathrm{wk}}$ but also determining the surface thickness of the weak charge density $a$. We obtain ${\rho }_0=0.150\pm 0.010$ fm${}^{-3}$, where the 7\% error has contributions form the PREX error on the weak radius, an assumed 10\% uncertainty in the surface thickness $a$, and from the extrapolation to infinite nuclear matter. These errors can be improved with the upcoming PREX II results and with a new parity violating electron scattering experiment, at a somewhat higher momentum transfer, to determine $a$.

6 pages, 3 figures, minor changes, Phys. Rev. C in press

References in corpus (35)

• A New Parameterization for the Lagrangian Density of Relativistic Mean Field Theory
• Chiral effective field theory and nuclear forces
• Observation of Coherent Elastic Neutrino-Nucleus Scattering
• Constraints on the symmetry energy and neutron skins from experiments and theory
• Neutron-Rich Nuclei in Heaven and Earth
• Measurement of the Neutron Radius of 208Pb Through Parity-Violation in Electron Scattering
• Nuclear Energy Density Optimization
• Nuclear effective field theory: status and perspectives
• Nuclear energy density optimization: Large deformations
• Charge, neutron, and weak size of the atomic nucleus
• Parity Violating Measurements of Neutron Densities
• Relativistic effective interaction for nuclei, giant resonances, and neutron stars
• Chiral interactions up to next-to-next-to-next-to-leading order and nuclear saturation
• Nuclear matter symmetry energy and the neutron skin thickness of heavy nuclei
• Building relativistic mean field models for finite nuclei and neutron stars
• Neutron skin of ${}^{208}$Pb from Coherent Pion Photoproduction
• Ab initio coupled-cluster approach to nuclear structure with modern nucleon-nucleon interactions
• Searching for isovector signatures in the neutron-rich oxygen and calcium isotopes
• Weak charge form factor and radius of 208Pb through parity violation in electron scattering
• Incompressibility of neutron-rich matter
• Neutron density distributions from antiprotonic 208Pb and 209Bi atoms
• Neutron skins of atomic nuclei: per aspera ad astra
• Neutrino-nucleus coherent scattering as a probe of neutron density distributions
• The Weak Charge of the Proton and New Physics
• From finite nuclei to the nuclear liquid drop: leptodermous expansion based on the self-consistent mean-field theory
• Parity Violating Elastic Electron Scattering and Coulomb Distortions
• Nuclear and neutron-star matter from local chiral interactions
• The power of two: Assessing the impact of a second measurement of the weak-charge form factor of 208Pb
• Neutron skins of ${}^{208}$Pb and ${}^{48}$Ca from pionic probes
• Nuclear charge and neutron radii and nuclear matter: trend analysis
• Electroweak probes of ground state densities
• Parity violating elastic electron scattering and neutron density distributions in the Relativistic Hartree-Bogoliubov model
• Parity violating elastic electron scattering from 27Al and the Qweak measurement
• Nuclear Structure Uncertainties in Parity-Violating Electron Scattering from Carbon 12
• The full weak charge density distribution of 48Ca from parity violating electron scattering

Cited by in corpus (17)

• Accurate Determination of the Neutron Skin Thickness of ${}^{208}$Pb through Parity-Violation in Electron Scattering
• Relativistic mean-field theories for neutron-star physics based on chiral effective field theory
• In-medium properties of the light and heavy-light mesons in a light-front quark model
• Thermal evolution of neutron stars in soft X-ray transients with thermodynamically consistent models of the accreted crust
• A Bayesian mixture model approach to quantifying the empirical nuclear saturation point
• Damping of density oscillations from bulk viscosity in quark matter
• Tabulated Equations of State From Models Informed by Chiral Effective Field Theory
• Measuring the surface thickness of the weak charge density of nuclei
• Neutron Skins: Weak Elastic Scattering and Neutron Stars
• Boundary terms in the Witten-Sakai-Sugimoto model at finite density
• The magnetic dual chiral density wave phase in a rotating cold quark matter
• Neutrino beaming in ultraluminous X-ray pulsars as a result of gravitational lensing by neutron stars
• From noise to information: The transfer function formalism for uncertainty quantification on nuclear density reconstruction
• Neutron Star Radii from Laboratory Experiments
• Weak Charge Form Factor Determination at the Electron-Ion Collider
• On variational trial functions in the extended Thomas-Fermi method
• Structure of Anisotropic Magnetized Neutron Stars in f(R,T) Gravity with Realistic Equation of State