Trends of Neutron Skins and Radii of Mirror Nuclei from First Principles

Abstract

The neutron skin of atomic nuclei impacts the structure of neutron-rich nuclei, the equation of state of nucleonic matter, and the size of neutron stars. Here we predict the neutron skin of selected light- and medium-mass nuclei using coupled-cluster theory and the auxiliary field diffusion Monte Carlo method with two- and three-nucleon forces from chiral effective field theory. We find a linear correlation between the neutron skin and the isospin asymmetry in agreement with the liquid-drop model and compare with data. We also extract the linear relationship that describes the difference between neutron and proton radii of mirror nuclei and quantify the effect of charge symmetry breaking terms in the nuclear Hamiltonian. Our results for the mirror-difference charge radii and binding energies per nucleon agree with existing data.

arXiv comment10 pages, 6 figures; Version accepted for publication, includes Supplemental Material

References in corpus (78)

• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• Multi-messenger Observations of a Binary Neutron Star Merger
• Modern Theory of Nuclear Forces
• Chiral effective field theory and nuclear forces
• Neutron Star Structure and the Neutron Radius of 208Pb
• Quantum Monte Carlo methods for nuclear physics
• Constraints on the symmetry energy and neutron skins from experiments and theory
• Accurate Determination of the Neutron Skin Thickness of ${}^{208}$Pb through Parity-Violation in Electron Scattering
• Improved nuclear matter calculations from chiral low-momentum interactions
• Measurement of the Neutron Radius of 208Pb Through Parity-Violation in Electron Scattering
• Coupled-cluster computations of atomic nuclei
• Neutron skins and neutron stars in the multi-messenger era
• The maximum mass and radius of neutron stars and the nuclear symmetry energy
• Constraining the speed of sound inside neutron stars with chiral effective field theory interactions and observations
• Precision nucleon-nucleon potential at fifth order in the chiral expansion
• Unexpectedly large charge radii of neutron-rich calcium isotopes
• Charge, neutron, and weak size of the atomic nucleus
• An optimized chiral nucleon-nucleon interaction at next-to-next-to-leading order
• A critical examination of constraints on the equation of state of dense matter obtained from GW170817
• Quantum Monte Carlo Calculations with Chiral Effective Field Theory Interactions
• Precision Determination of the Neutral Weak Form Factor of ${}^{48}$Ca
• Ab Initio Calculations of Medium-Mass Nuclei with Normal-Ordered Chiral NN+3N Interactions
• Chiral Three-Nucleon Interactions in Light Nuclei, Neutron-$\alpha$ Scattering, and Neutron Matter
• A Guided Tour of Ab Initio Nuclear Many-Body Theory
• The neutron radii of Lead and neutron stars
• Ab initio predictions link the neutron skin of ${}^{208}$Pb to nuclear forces
• Local chiral effective field theory interactions and quantum Monte Carlo applications
• Structure of the lightest tin isotopes
• Ab initio limits of atomic nuclei
• Neutron skin thickness in droplet model with surface width dependence: indications of softness of the nuclear symmetry energy
• Coupled-cluster theory for three-body Hamiltonians
• Novel chiral Hamiltonian and observables in light and medium-mass nuclei
• Quantum Monte Carlo calculations of neutron matter with chiral three-body forces
• Peripheral nucleon-nucleon scattering at fifth order of chiral perturbation theory
• Accurate bulk properties of nuclei from $A=2$ to $\infty$ from potentials with $\Delta$ isobars
• Charge radii of exotic potassium isotopes challenge nuclear theory and the magic character of $N=32$
• Measurement and microscopic description of odd-even staggering of charge radii of exotic copper isotopes
• Radii and binding energies in oxygen isotopes: a puzzle for nuclear forces
• Family of Chiral Two- plus Three-Nucleon Interactions for Accurate Nuclear Structure Studies
• Combined theoretical analysis of the parity-violating asymmetry for ${}^{48}$Ca and ${}^{208}Pb$
• Auxiliary field diffusion Monte Carlo calculations of light and medium-mass nuclei with local chiral interactions
• Charge radii of exotic neon and magnesium isotopes
• Properties of nuclei up to $A=16$ using local chiral interactions
• Nuclear and neutron-star matter from local chiral interactions
• Confronting gravitational-wave observations with modern nuclear physics constraints
• A two-neutron halo is unveiled in ${}^{29}$F
• Combining Electromagnetic and Gravitational-Wave Constraints on Neutron-Star Masses and Radii
• Quantum Monte Carlo calculations of light nuclei with local chiral two- and three-nucleon interactions
• Scale and Scheme Independence and Position-Momentum Equivalence of Nuclear Short-Range Correlations
• Is a Trineutron Resonance Lower in Energy than a Tetraneutron Resonance?
• Three-body forces and proton-rich nuclei
• Nuclear Charge Radii of the Nickel Isotopes ${}^{58-68,70}$Ni
• Atomic nuclei from quantum Monte Carlo calculations with chiral EFT interactions
• Angular-momentum projection in coupled-cluster theory: structure of ${}^{34}$Mg
• Charge Radius of Neutron-deficient ${}^{54}$Ni and Symmetry Energy Constraints Using the Difference in Mirror Pair Charge Radii
• Extraction of the neutron charge radius from a precision calculation of the deuteron structure radius
• Quantum Monte Carlo Calculations of Light Nuclei Using Chiral Potentials
• Ab-initio computation of neutron-rich oxygen isotopes
• Coherent elastic neutrino-nucleus scattering on 40Ar from first principles
• Natural orbitals for ab initio no-core shell model calculations
• Exploring New Small System Geometries in Heavy Ion Collisions
• Charge radius of the short-lived ${}^{68}$Ni and correlation with the dipole polarizability
• Static Response of Neutron Matter
• Computing the dipole polarizability of 48Ca with increased precision
• Statistical uncertainties of a chiral interaction at next-to-next-to leading order
• Insensitivity of the elastic proton-nucleus reaction to the neutron radius of 208Pb
• Single- and two-nucleon momentum distributions for local chiral interactions
• Radii of neutron drops probed via the neutron skin thickness of nuclei
• Ab initio short-range-correlation scaling factors from light to medium-mass nuclei
• Ab initio and phenomenological studies of the static response of neutron matter
• Comparing proton momentum distributions in $A=2$ and 3 nuclei via ${}^2$H ${}^3$H and ${}^3$He $(e,e^{\prime }p)$ measurements
• Description of proton-rich nuclei in the $A\sim 20$ region with the Gamow shell model
• Neutron skins as laboratory constraints on properties of neutron stars and on what we can learn from heavy ion fragmentation reactions
• Quantum Monte Carlo calculations of two neutrons in finite volume
• Observation of excited states in ${}^{20}$Mg sheds light on nuclear forces and shell evolution
• Toward ab initio charge symmetry breaking in nuclear energy density functionals
• Small Bits of Cold Dense Matter
• Spin Susceptibility in Neutron Matter from Quantum Monte Carlo Calculations

Cited by in corpus (20)

• Precision Determination of the Neutral Weak Form Factor of ${}^{48}$Ca
• Information content of the differences in the charge radii of mirror nuclei
• Correlations between charge radii differences of mirror nuclei and stellar observables
• Ab initio computations of strongly deformed nuclei around ${}^{80}$Zr
• Towards Precision Muonic X-Ray Measurements of Charge Radii of Light Nuclei
• $\Lambda$ hypernuclear potentials beyond linear density dependence
• Improved description of nuclear charge radii: Global trends beyond $N=28$ shell closure
• Maximally local two-nucleon interactions at N${}^3$LO in $\Delta$-less chiral effective field theory
• Effects of Coulomb and isospin symmetry breaking interactions on neutron-skin thickness
• Effect of initial-state geometric configurations on the nuclear liquid-gas phase transition
• Critical evaluation of reference charge radii and applications in mirror nuclei
• New quantification of symmetry energy from neutron skin thicknesses of ${}^{48}$Ca and ${}^{208}$Pb
• QCD-based charge symmetry breaking interaction and the Okamoto-Nolen-Schiffer anomaly
• Potential signature of new magicity from universal aspects of nuclear charge radii
• Correlation between the charge radii difference in mirror partner nuclei and the symmetry energy slope
• How do mirror charge radii constrain density dependence of the symmetry energy?
• Neutron-rich nuclei and neutron skins from chiral low-resolution interactions
• Implication of shell quenching in scandium isotopes around N=20
• Chiral interactions and superfluidity in the calcium isotopic chain
• Implication of odd-even staggering in the charge radii of calcium isotopes