Sensitivities and correlations of nuclear structure observables emerging from chiral interactions

Abstract

Starting from a set of different two- and three-nucleon interactions from chiral effective field theory, we use the importance-truncated no-core shell model for ab initio calculations of excitation energies as well as electric quadrupole (E2) and magnetic dipole (M1) moments and transition strengths for selected p-shell nuclei. We explore the sensitivity of the excitation energies to the chiral interactions as a first step towards and systematic uncertainty propagation from chiral inputs to nuclear structure observables. The uncertainty band spanned by the different chiral interactions is typically in agreement with experimental excitation energies, but we also identify observables with notable discrepancies beyond the theoretical uncertainty that reveal insufficiencies in the chiral interactions. For electromagnetic observables we identify correlations among pairs of E2 or M1 observables based on the ab initio calculations for the different interactions. We find extremely robust correlations for E2 observables and illustrate how these correlations can be used to predict one observable based on an experimental datum for the second observable. In this way we circumvent convergence issues and arrive at far more accurate results than any direct ab initio calculation. A prime example for this approach is the quadrupole moment of the first 2^+ state in C-12, which is predicted with an drastically improved accuracy.

11 pages, 8 figures

References in corpus (32)

• Chiral effective field theory and nuclear forces
• Accurate nuclear radii and binding energies from a chiral interaction
• Similarity Renormalization Group for Nucleon-Nucleon Interactions
• Improved chiral nucleon-nucleon potential up to next-to-next-to-next-to-leading order
• Neutron matter at next-to-next-to-next-to-leading order in chiral effective field theory
• Recent developments in no-core shell-model calculations
• Precision nucleon-nucleon potential at fifth order in the chiral expansion
• Structure of A=10-13 nuclei with two- plus three-nucleon interactions from chiral effective field theory
• Charge, neutron, and weak size of the atomic nucleus
• Structure and rotations of the Hoyle state
• Local three-nucleon interaction from chiral effective field theory
• In-Medium Similarity Renormalization Group for Nuclei
• Three-Nucleon Low-Energy Constants from the Consistency of Interactions and Currents in Chiral Effective Field Theory
• Subleading contributions to the chiral three-nucleon force I: long-range terms
• Local chiral effective field theory interactions and quantum Monte Carlo applications
• Evolution of Nuclear Many-Body Forces with the Similarity Renormalization Group
• Unified ab initio approaches to nuclear structure and reactions
• Importance Truncation for Large-Scale Configuration Interaction Approaches
• In-Medium Similarity Renormalization Group with Chiral Two- Plus Three-Nucleon Interactions
• Uncertainty analysis and order-by-order optimization of chiral nuclear interactions
• Few-nucleon systems with state-of-the-art chiral nucleon-nucleon forces
• Unified ab initio approach to bound and unbound states: no-core shell model with continuum and its application to 7He
• Nuclear forces with Delta-excitations up to next-to-next-to-leading order I: peripheral nucleon-nucleon waves
• Improving the convergence of the chiral expansion for nuclear forces II: low phases and the deuteron
• Evolving Nuclear Many-Body Forces with the Similarity Renormalization Group
• Efficient calculation of chiral three-nucleon forces up to N3LO for ab initio studies
• Momentum space evolution of chiral three-nucleon forces
• Structure of low-lying 12C-resonances
• Continuum and Three-Nucleon Force Effects on 9Be Energy Levels
• Neutron matter based on consistently evolved chiral three-nucleon interactions
• Infrared extrapolations of quadrupole moments and transitions
• ${}^{12}$C properties with evolved chiral three-nucleon interactions

Cited by in corpus (20)

• Family of Chiral Two- plus Three-Nucleon Interactions for Accurate Nuclear Structure Studies
• Can Ab Initio Theory Explain the Phenomenon of Parity Inversion in ${}^{11}$Be?
• Few- and many-nucleon systems with semilocal coordinate-space regularized chiral two- and three-body forces
• In-Medium Similarity Renormalization Group for Closed and Open-Shell Nuclei
• Light Axial Vectors, Nuclear Transitions, and the ${}^8$Be Anomaly
• Electric dipole polarizability from first principles calculations
• Light Neutron-Rich Hypernuclei from the Importance-Truncated No-Core Shell Model
• Computing the dipole polarizability of 48Ca with increased precision
• Algebraic diagrammatic construction formalism with three-body interactions
• Role of chiral two-body currents in ${}^6$Li magnetic properties in light of a new precision measurement with the relative self-absorption technique
• Reorientation-effect measurement of the first 2${}^{+}$ state in ${}^{12}$C: confirmation of oblate deformation
• Robust ab initio prediction of nuclear electric quadrupole observables by scaling to the charge radius
• Precision measurement of the $E2$ transition strength to the 2${}_1^{+}$ state of ${}^{12}$C
• Ab-initio no-core shell model study of ${}^{18-24}$Ne isotopes
• Ab initio estimation of $E2$ strengths in ${}^8$Li and its neighbors by normalization to the measured quadrupole moment
• Electric structure of shallow D-wave states in Halo EFT
• Quadrupole dynamics of carbon isotopes and 10Be
• The Role of Ab Initio Beta-Decay Calculations in Light Nuclei for Probes of Physics Beyond the Standard Model
• Robust ab initio predictions for dimensionless ratios of E2 and radius observables. II. Estimation of E2 transition strengths by calibration to the charge radius
• Robust ab initio predictions for dimensionless ratios of E2 and radius observables. I. Electric quadrupole moments and deformation