Testing isospin symmetry breaking in ab initio nuclear theory

Abstract

In this work we present the first steps towards benchmarking isospin symmetry breaking in ab initio nuclear theory for calculations of superallowed Fermi $\beta$-decay. Using the valence-space in-medium similarity renormalization group, we calculate b and c coefficients of the isobaric multiplet mass equation, starting from two different Hamiltonians constructed from chiral effective field theory. We compare results to experimental measurements for all T=1 isobaric analogue triplets of relevance to superallowed $\beta$-decay for masses A=10 to A=74 and find an overall agreement within approximately 250 keV of experimental data for both b and c coefficients. A greater level of accuracy, however, is obtained by a phenomenological Skyrme interaction or a classical charged-sphere estimate. Finally, we show that evolution of the valence-space operator does not meaningfully improve the quality of the coefficients with respect to experimental data, which indicates that higher-order many-body effects are likely not responsible for the observed discrepancies.

arXiv comment6 pages, 4 figures, 2 tables

References in corpus (42)

• Modern Theory of Nuclear Forces
• Chiral effective field theory and nuclear forces
• Quantum Monte Carlo methods for nuclear physics
• Improved nuclear matter calculations from chiral low-momentum interactions
• Coupled-cluster computations of atomic nuclei
• Self-consistent Green's function method for nuclei and nuclear matter
• Accurate nuclear radii and binding energies from a chiral interaction
• Three-body forces and the limit of oxygen isotopes
• From low-momentum interactions to nuclear structure
• The In-Medium Similarity Renormalization Group: A Novel Ab Initio Method for Nuclei
• Similarity Renormalization Group for Nucleon-Nucleon Interactions
• Unexpectedly large charge radii of neutron-rich calcium isotopes
• Charge, neutron, and weak size of the atomic nucleus
• Ab Initio Calculations of Medium-Mass Nuclei with Normal-Ordered Chiral NN+3N Interactions
• A nucleus-dependent valence-space approach to nuclear structure
• Reduced hadronic uncertainty in the determination of $V_{ud}$
• Non-Empirical Interactions for the Nuclear Shell Model: An Update
• Structure of the lightest tin isotopes
• Ab initio limits of atomic nuclei
• Nuclear forces and their impact on neutron-rich nuclei and neutron-rich matter
• Radiative Corrections to Neutron and Nuclear Beta Decays Revisited
• Saturation with chiral interactions and consequences for finite nuclei
• Ab Initio Calculations of Even Oxygen Isotopes with Chiral Two- Plus Three-Nucleon Interactions
• Dispersive Evaluation of the Inner Radiative Correction in Neutron and Nuclear $\beta$-decay
• In-Medium Similarity Renormalization Group for Open-Shell Nuclei
• Proton Drip-Line Calculations and the Rp-process
• Radii and binding energies in oxygen isotopes: a puzzle for nuclear forces
• Measurement and microscopic description of odd-even staggering of charge radii of exotic copper isotopes
• Ground and excited states of doubly open-shell nuclei from ab initio valence-space Hamiltonians
• Exploring sd-shell nuclei from two- and three-nucleon interactions with realistic saturation properties
• Comparative tests of isospin-symmetry-breaking corrections to superallowed 0+-to-0+ nuclear beta decay
• Three-body forces and proton-rich nuclei
• Evidence for a breakdown of the Isobaric Multiplet Mass Equation: A study of the A=35, T=3/2 isospin quartet
• Isospin-symmetry-breaking corrections to superallowed Fermi beta decay: Radial excitations
• Isospin-breaking corrections to superallowed Fermi beta-decay in isospin- and angular-momentum-projected nuclear Density Functional Theory
• Isobaric Multiplet Mass Equation for $A\le 71$ Revisited
• Breakdown of the Isobaric Multiplet Mass Equation for the A = 20 and 21 Multiplets
• Radial Overlap Correction to Superallowed $0^{+}\to 0^{+}$ $\beta$-decay revisited
• Realistic calculations for $c$-coefficients of the isobaric mass multiplet equation in $1p0f$ shell nuclei
• Precision mass measurements of magnesium isotopes and implications on the validity of the Isobaric Mass Multiplet Equation
• Isospin effects in N~Z nuclei in extended Density Functional Theory
• High-precision $Q_{EC}$-value measurement of the superallowed ${\beta }^{+}$ emitter ${}^{22}$Mg and an evaluation of the $A=22$ isobaric triplet

Cited by in corpus (10)

• First-Generation New Physics in Simplified Models: From Low-Energy Parity Violation to the LHC
• Ab-initio electroweak corrections to superallowed $\beta$ decays and their impact on $V_{ud}$
• Radiative corrections to superallowed $\beta$ decays in effective field theory
• Data-driven reevaluation of $ft$-values in superallowed $\beta$ decays
• Nuclear charge radius of ${}^{26m}$Al and its implication for V${}_{ud}$ in the quark-mixing matrix
• Towards $ab$-$initio$ nuclear theory calculations of ${\delta }_{\mathrm{C}}$
• Cabibbo-Kobayashi-Maskawa unitarity deficit reduction via finite nuclear size
• Isospin Mixing and the Cubic Isobaric Multiplet Mass Equation in the Lowest T = 2, A = 32 Quintet
• Gamow shell model predictions for six-proton unbound nucleus ${}^{20}$Si
• The Role of Ab Initio Beta-Decay Calculations in Light Nuclei for Probes of Physics Beyond the Standard Model