Impact of two-body currents on magnetic dipole moments of nuclei

Abstract

We investigate the effects of two-body currents on magnetic dipole moments of medium-mass and heavy nuclei using the valence-space in-medium similarity renormalization group with chiral effective field theory interactions and currents. Focusing on near doubly magic nuclei from oxygen to bismuth, we have found that the leading two-body currents globally improve the agreement with experimental magnetic moments. Moreover, our results show the importance of multi-shell effects for ${}^{41}$Ca, which suggest that the $Z=N=20$ gap in ${}^{40}$Ca is not as robust as in ${}^{48}$Ca. The increasing contribution of two-body currents in heavier systems is explained by the operator structure of the center-of-mass dependent Sachs term.

arXiv comment6 pages, 4 figures, supplemental material included

References in corpus (47)

• Modern Theory of Nuclear Forces
• Chiral effective field theory and nuclear forces
• Accurate Charge-Dependent Nucleon-Nucleon Potential at Fourth Order of Chiral Perturbation Theory
• Improved nuclear matter calculations from chiral low-momentum interactions
• Accurate nuclear radii and binding energies from a chiral interaction
• The In-Medium Similarity Renormalization Group: A Novel Ab Initio Method for Nuclei
• Thick-Restart Block Lanczos Method for Large-Scale Shell-Model Calculations
• Discrepancy between experimental and theoretical $\beta$-decay rates resolved from first principles
• A nucleus-dependent valence-space approach to nuclear structure
• A Guided Tour of Ab Initio Nuclear Many-Body Theory
• Ab initio predictions link the neutron skin of ${}^{208}$Pb to nuclear forces
• Three-Nucleon Low-Energy Constants from the Consistency of Interactions and Currents in Chiral Effective Field Theory
• Non-Empirical Interactions for the Nuclear Shell Model: An Update
• Structure of the lightest tin isotopes
• Ab initio limits of atomic nuclei
• Nonperturbative shell-model interactions from the in-medium similarity renormalization group
• Saturation with chiral interactions and consequences for finite nuclei
• In-Medium Similarity Renormalization Group for Open-Shell Nuclei
• Laser Spectroscopy for the Study of Exotic Nuclei
• Accurate bulk properties of nuclei from $A=2$ to $\infty$ from potentials with $\Delta$ isobars
• Electromagnetic Currents and Magnetic Moments in $\chi$EFT
• The Magnus expansion and the in-medium similarity renormalization group
• Two-pion exchange electromagnetic current in chiral effective field theory using the method of unitary transformation
• Three-Nucleon Forces: Implementation and Applications to Atomic Nuclei and Dense Matter
• Quantum Monte Carlo calculations of electromagnetic moments and transitions in A <= 9 nuclei with meson-exchange currents derived from chiral effective field theory
• Shell Model Description of Isotope Shifts in Calcium
• Converged ab initio calculations of heavy nuclei
• Two-nucleon electromagnetic current in chiral effective field theory: one-pion exchange and short-range contributions
• Chiral effective field theory predictions for muon capture on deuteron and 3He
• Electromagnetic structure of A=2 and 3 nuclei in chiral effective field theory
• Ab initio multi-shell valence-space Hamiltonians and the island of inversion
• Ab initio electromagnetic observables with the in-medium similarity renormalization group
• Chiral Effective Field Theory Calculations of Weak Transitions in Light Nuclei
• Angular-momentum projection in coupled-cluster theory: structure of ${}^{34}$Mg
• In-medium similarity renormalization group with three-body operators
• Ab initio computation of charge densities for Sn and Xe isotopes
• Nuclear Currents in Chiral Effective Field Theory
• Ground-State Electromagnetic Moments of Calcium Isotopes
• \texttt{NuHamil}: A numerical code to generate nuclear two- and three-body matrix elements from chiral effective field theory
• Infrared extrapolations for atomic nuclei
• High-resolution laser spectroscopy of ${}^{27-32}$Al
• Normal ordering of three-nucleon interactions for ab initio calculations of heavy nuclei
• Nuclear DFT analysis of electromagnetic moments in odd near doubly magic nuclei
• Ground State Electromagnetic Moments of ${}^{37}$Ca
• Role of chiral two-body currents in ${}^6$Li magnetic properties in light of a new precision measurement with the relative self-absorption technique
• Magnetic dipole transition in ${}^{48}$Ca
• Ground State Magnetic Dipole Moment of ${}^{40}$Sc

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• Ab initio nuclear shape coexistence and emergence of island of inversion around $N=20$
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• Bayesian approach for many-body uncertainties in nuclear structure: Many-body perturbation theory for finite nuclei
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• Ab initio study of island of inversion in odd-$A$ nuclei: Structure of ${}^{31,33}$Mg
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• Mean-field approximation on steroids: exact description of the deuteron
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• Ab initio calculations of nuclear charge radii across and beyond ${}^{132}$Sn: Putting chiral EFT nuclear interactions to the test
• In-Medium Similarity Renormalization Group at Finite Temperature
• A detailed view at magnetic dipole strengths: The case of semi-magic ${}^{50}$Ti
• Ab initio study of $\beta$-decay and pairing in $N=Z$ nuclei
• Exploring quark mass dependent three-nucleon forces in medium-mass nuclei
• Constraining Hamiltonians from chiral effective field theory with neutron-star data