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.

8 pages, 3 figures, 3 tables in main text, 3 pages, 3 figures, 4 tables in supplemental material

References in corpus (15)

• Relativistic Continuum Hartree Bogoliubov Theory for Ground State Properties of Exotic Nuclei
• The Skyrme Interaction in finite nuclei and nuclear matter
• Hidden pseudospin and spin symmetries and their origins in atomic nuclei
• A new Skyrme interaction with improved spin-isospin properties
• Tensor interaction contributions to single-particle energies
• Information content of the parity-violating asymmetry in ${}^{208}$Pb
• Charge Symmetry Breaking and QCD
• Microscopically-based energy density functionals for nuclei using the density matrix expansion: Implementation and pre-optimization
• Error estimates for the Skyrme-Hartree-Fock model
• Isospin nonconserving interaction in the T=1 analogue states of the mass-70 region
• Isospin-symmetry breaking in superallowed Fermi beta-decay due to isospin-nonconserving forces
• Nuclear energy density functionals grounded in ab initio calculations
• Isospin symmetry breaking at high spins in the mirror pair 67Se and 67As
• Nuclear energy density functionals from empirical ground-state densities
• 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