Ab initio calculations of electric dipole moments of light nuclei

Abstract

In any finite system, the presence of a non-zero permanent electric dipole moment (EDM) would indicate CP violation beyond the small violation predicted in the Standard Model. Here, we use the ab initio no-core shell model (NCSM) framework to theoretically investigate the magnitude of the nuclear EDM. We calculate EDMs of several light nuclei using chiral two- and three-body interactions and a PT-violating Hamiltonian based on a one-meson-exchange model. We present a benchmark calculation for ${}^3$He, as well as results for the more complex nuclei ${}^{6,7}$Li, ${}^9$Be, ${}^{10,11}$B, ${}^{13}$C, ${}^{14,15}$N, and ${}^{19}$F. Our results suggest that different nuclei can be used to probe different terms of the PT violating interaction. These calculations allow us to suggest which nuclei may be good candidates in the search for a measurable permanent electric dipole moment.

arXiv comment6 pages, 3 figures, matches published version

References in corpus (43)

• Chiral effective field theory and nuclear forces
• Accurate Charge-Dependent Nucleon-Nucleon Potential at Fourth Order of Chiral Perturbation Theory
• Order of Magnitude Smaller Limit on the Electric Dipole Moment of the Electron
• Measurement of the permanent electric dipole moment of the neutron
• Properties of ${}^{12}$C in the {\it ab initio} nuclear shell-model
• From low-momentum interactions to nuclear structure
• Similarity Renormalization Group for Nucleon-Nucleon Interactions
• Electric Dipole Moments of the Atoms, Molecules, Nuclei and Particles
• Standard Model CP-violation and Baryon asymmetry
• Standard Model CP-violation and Baryon asymmetry Part II: Finite Temperature
• Reduced Limit on the Permanent Electric Dipole Moment of ${}^{199}$Hg
• Discrepancy between experimental and theoretical $\beta$-decay rates resolved from first principles
• Evolution of Nuclear Many-Body Forces with the Similarity Renormalization Group
• Importance Truncation for Large-Scale Configuration Interaction Approaches
• Novel chiral Hamiltonian and observables in light and medium-mass nuclei
• Standard Model CP-violation and Baryon asymmetry Part I: Zero Temperature
• 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?
• Resonance method of electric-dipole-moment measurements in storage rings
• $P$- and $T$-odd two-nucleon interaction and the deuteron electric dipole moment
• Electric Dipole Moments of Light Nuclei From Chiral Effective Field Theory
• Unitary Correlation Operator Method and Similarity Renormalization Group: Connections and Differences
• P- and T-Violating Lagrangians in Chiral Effective Field Theory and Nuclear Electric Dipole Moments
• Parity- and Time-Reversal-Violating Form Factors of the Deuteron
• Nuclear Electric Dipole Moment of 3He
• Enhancement of the CP-odd effect in the nuclear electric dipole moment of ${}^6$Li
• Lorentz Integral Transform for Inclusive and Exclusive Cross Sections with the Lanczos Method
• Phase locking the spin precession in a storage ring
• Review of the electric dipole moment of light nuclei
• Measurement of Permanent Electric Dipole Moments of Charged Hadrons in Storage Rings
• Parity- and time-reversal-violating nuclear forces
• Operator evolution for ab initio nuclear theory
• Nuclear electric dipole moment of three-body system
• Nuclear spin-dependent parity-violating effects in light polyatomic molecules
• Electric dipole moment of ${}^{13}$C
• On the CP-odd Nucleon Potential
• Time Reversal Violation in Light Nuclei
• Strong CP violation in nuclear physics
• Nuclear electric dipole moment in the cluster model with a triton: ${}^7$Li and ${}^{11}$B
• Effect of the Pauli exclusion principle in the electric dipole moment of ${}^9$Be with $|\Delta S|=1$ interactions
• Permanent Electric Dipole Moments of Single-, Two-, and Three-Nucleon Systems
• Ground-state properties of doubly magic nuclei from the unitary-model-operator approach with the chiral two- and three-nucleon forces
• Electric dipole moment of light nuclei - 6Li, 7Li, 9Be, 11B, and 13C -

Cited by in corpus (11)

• Opportunities for Fundamental Physics Research with Radioactive Molecules
• An $\text{ab initio}$ strategy for taming nuclear-structure dependence of $V_{ud}$ extractions: the ${}^{10}\mathrm{C}\to {}^{10}\mathrm{B}$ superallowed transition
• Bubble Trouble: a Review on Electroweak Baryogenesis
• Revisiting Theoretical Analysis of Electric Dipole Moment of ${}^{129}$Xe
• Generator coordinate method for nuclear octupole excitations: status and perspectives
• R-parity violating two-loop level rainbowlike contribution to the fermion electric dipole moment
• Weinberg Operator Contribution to the Hadronic CP Violation
• Weinberg operator contribution to the CP-odd nuclear force in the quark model
• Radioactive Molecules as Laboratories of Fundamental Physics
• Contribution of the Weinberg-type Operator to atomic and nuclear electric dipole moments
• Quark model analysis of the Weinberg operator contribution to the nucleon EDM