Ab initio calculations of parity-violating electron scattering off 48 Ca and 208 Pb

arXiv:2606.25019 · nucl-th, astro-ph.HE, hep-ex, hep-ph, nucl-ex · Submitted 2026-06-23 · Read on arXiv

Frederic Noël, Matthias Heinz, Martin Hoferichter, Takayuki Miyagi, Achim Schwenk

nucl-th, astro-ph.HE, hep-ex, hep-ph, nucl-ex

Submitted: 2026-06-23

Comments: 14 pages, 8 figures; python notebook with charge distribution for $^{208}$Pb included as supplementary material

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Ab Initio — 23× in this paper · explained in 1 episode
• Momentum transfer — 8× in this paper · explained in 2 episodes
• Bayesian Inference — 2× in this paper · explained in 5 episodes
• Calibration — 2× in this paper · explained in 7 episodes
• Consistency — 2× in this paper · explained in 3 episodes
• Magnus Expansion — 2× in this paper · explained in 4 episodes
• Effective Field Theory (EFT) — 1× in this paper · explained in 2 episodes
• Regularization — 1× in this paper · explained in 3 episodes
• Uncertainty Quantification — 1× in this paper · explained in 8 episodes

Sources

• Nuclear forces and their impact on neutron-rich nuclei and neutron-rich matter
• Astrophysical Constraints on the Symmetry Energy and the Neutron Skin of $^{208}$Pb with Minimal Modeling Assumptions
• Constraints on Nuclear Symmetry Energy Parameters
• Neutron Skins: Weak Elastic Scattering and Neutron Stars
• Neutron stars and the dense matter equation of state: from microscopic theory to macroscopic observations
• Astrophysics equation of state inference with Bayesian chiral effective field theory uncertainties
• Detailed Report of the MuLan Measurement of the Positive Muon Lifetime and Determination of the Fermi Constant
• Precision Determination of the Neutral Weak Form Factor of $^{48}$Ca
• Measurement of the Neutron Radius of 208Pb Through Parity-Violation in Electron Scattering
• Accurate Determination of the Neutron Skin Thickness of $^{208}$Pb through Parity-Violation in Electron Scattering
• First Determination of the 27Al Neutron Distribution Radius from a Parity-Violating Electron Scattering Measurement
• Parity Violating Elastic Electron Scattering and Coulomb Distortions
• Weak charge form factor and radius of 208Pb through parity violation in electron scattering
• Parity violating elastic electron scattering from 27Al and the Qweak measurement
• Combined theoretical analysis of the parity-violating asymmetry for ${}^{48}$Ca and ${}^{208}Pb$
• Implications of parity-violating electron scattering experiments on $^{48}$Ca (CREX) and $^{208}$Pb (PREX-II) for nuclear energy density functionals
• Bayesian Inference of the Symmetry Energy and the Neutron Skin in $^{48}$Ca and $^{208}$Pb from CREX and PREX-2
• Nucleonic metamodelling in light of multimessenger, PREX-II and CREX data
• Nuclear symmetry energy and the PREX-CREX neutron skin puzzle within the KIDS framework

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