Toward ab initio charge symmetry breaking in nuclear energy density functionals

Abstract

We propose a new approach to determine the strength of the charge symmetry breaking (CSB) term in the framework of nuclear density functional theory. It is shown that once ab initio calculations are available including accurate description of isospin symmetry breaking terms in medium and heavy nuclei, the mass difference of mirror nuclei as well as the neutron-skin thickness of doubly-closed-shell nuclei can be used to constrain the strength of the CSB interaction with an uncertainty less than $6\%$, separately from other isospin symmetry breaking forces. This method opens a new vista of ab initio nuclear energy density functionals.

arXiv comment8 pages, 3 figures, 3 tables in main text, 3 pages, 3 figures, 4 tables in supplemental material

References in corpus (59)

• An accurate nucleon-nucleon potential with charge-independence breaking
• Relativistic Continuum Hartree Bogoliubov Theory for Ground State Properties of Exotic Nuclei
• The Nuclear Equation of State and Neutron Star Masses
• Accurate Determination of the Neutron Skin Thickness of ${}^{208}$Pb through Parity-Violation in Electron Scattering
• Relativistic Nuclear Energy Density Functionals: Mean-Field and Beyond
• Measurement of the Neutron Radius of 208Pb Through Parity-Violation in Electron Scattering
• Nuclear Energy Density Optimization
• The Skyrme Interaction in finite nuclei and nuclear matter
• Charge, neutron, and weak size of the atomic nucleus
• Hidden pseudospin and spin symmetries and their origins in atomic nuclei
• Time-dependent density-functional description of nuclear dynamics
• Nuclear Equation of State from ground and collective excited state properties of nuclei
• A new Skyrme interaction with improved spin-isospin properties
• Towards an ab initio covariant density functional for nuclear structure
• Tensor interaction contributions to single-particle energies
• Charge Symmetry Breaking and QCD
• Information content of the parity-violating asymmetry in ${}^{208}$Pb
• Toward ab initio density functional theory for nuclei
• Towards the global description of nuclear charge radii: exploring the Fayans energy density functional
• Hartree-Fock approach to nuclear matter and finite nuclei with M3Y-type nucleon-nucleon interactions
• Electroweak Measurements of Neutron Densities in CREX and PREX at JLab, USA
• Microscopically-based energy density functionals for nuclei using the density matrix expansion: Implementation and pre-optimization
• Phenomenological Aspects of Isospin Violation in the Nuclear Force
• Variation in displacement energies due to isospin nonconserving forces
• Isospin-symmetry breaking in masses of $N\simeq Z$ nuclei
• Effective action and density functional theory
• Computational Nuclear Quantum Many-Body Problem: The UNEDF Project
• The nuclear symmetry energy and the breaking of the isospin symmetry: how do they reconcile with each other?
• Charge-symmetry breaking forces and isospin mixing in 8Be
• Skyrme functional with tensor terms from \textit{ab initio} calculations of neutron-proton drops
• Microscopically-based energy density functionals for nuclei using the density matrix expansion: Full optimization and validation
• Ab Initio Derivation of Model Energy Density Functionals
• Error estimates for the Skyrme-Hartree-Fock model
• Turning the nuclear energy density functional method into a proper effective field theory: reflections
• Isospin nonconserving interaction in the T=1 analogue states of the mass-70 region
• Functional Renormalization Group and Kohn-Sham scheme in Density Functional Theory
• Isospin-symmetry breaking in superallowed Fermi beta-decay due to isospin-nonconserving forces
• Widths of Isobaric Analog Resonances: a microscopic approach
• Isospin symmetry breaking nucleon-nucleon potentials and nuclear structure
• Towards a Renormalization Group Approach to Density Functional Theory - General Formalism and Case Studies -
• Isobaric Multiplet Mass Equation within nuclear Density Functional Theory
• Formation of Selfbound States in a One-Dimensional Nuclear Model -- A Renormalization Group based Density Functional Study
• Isospin symmetry breaking at high spins in the mirror pair 67Se and 67As
• Nuclear energy density functionals grounded in ab initio calculations
• Properties of exotic nuclei and their linkage to the nucleonic interaction
• Functional renormalization-group calculation of the equation of state of one-dimensional nuclear matter inspired by the Hohenberg--Kohn theorem
• Model nuclear energy density functionals derived from ab initio calculations
• Improvement of functionals in density functional theory by the inverse Kohn--Sham method and density functional perturbation theory
• Ab-initio description of excited states of a one-dimensional nuclear matter with the Hohenberg-Kohn-theorem-inspired functional-renormalization-group method
• Generalized isobaric multiplet mass equation and its application to the Nolen-Schiffer anomaly
• Ab initio construction of the energy density functional for electron systems with the functional-renormalization-group-aided density functional theory
• Effects of finite nucleon size, vacuum polarization, and electromagnetic spin-orbit interaction on nuclear binding energies and radii in spherical nuclei
• Functional-renormalization-group aided density-functional analysis for the correlation energy of the two-dimensional homogeneous electron gas
• A first step in the nuclear inverse Kohn-Sham problem: from densities to potentials
• Microscopic derivation of density functional theory for superfluid systems based on effective action formalism
• Mirror energy differences in T=1/2 f7/2-shell nuclei within isospin-dependent DFT
• Nuclear energy density functionals from empirical ground-state densities
• Comparing different density-matrix expansions for long-range pion exchange
• Construction of energy density functional for arbitrary spin polarization using functional renormalization group

Cited by in corpus (13)

• Trends of Neutron Skins and Radii of Mirror Nuclei from First Principles
• Isospin symmetry breaking in the charge radius difference of mirror nuclei
• From Density Response to Energy Functionals and Back: An ab initio perspective on Matter Under Extreme Conditions
• Effects of Coulomb and isospin symmetry breaking interactions on neutron-skin thickness
• New quantification of symmetry energy from neutron skin thicknesses of ${}^{48}$Ca and ${}^{208}$Pb
• Isovector density and isospin impurity in ${}^{40}\mathrm{Ca}$
• QCD-based charge symmetry breaking interaction and the Okamoto-Nolen-Schiffer anomaly
• ${}^{164}\mathrm{Pb}$: A possible heaviest $N=Z$ doubly magic nucleus
• Implication of shell quenching in scandium isotopes around N=20
• Mirror-skin thickness: a possible observable sensitive to the charge symmetry breaking energy density functional
• Bayesian estimation of the low-energy constants up to fourth order in the nucleon-nucleon sector of chiral effective field theory
• Relativistic correction of the Coulomb interaction in the local density approximation for energies and radii in doubly-magic nuclei
• Charge symmetry breaking effects of $\omega$-${\rho }^0$ mixing in relativistic mean-field model