Electromagnetic moments of the antimony isotopes ${}^{112-133}$Sb

Abstract

Nuclear moments of the antimony isotopes ${}^{113-133}$Sb are measured by collinear laser spectroscopy and used to benchmark phenomenological shell-model and \textit{ab initio} calculations in the valence-space in-medium similarity renormalization group (VS-IMSRG). The shell-model calculations reproduce the electromagnetic moments over all Sb isotopes when suitable effective $g$-factors and charges are employed. Good agreement is achieved by VS-IMSRG for magnetic moments on the neutron-deficient side for both odd-even and odd-odd Sb isotopes while its results deviate from experiment on the neutron-rich side. When the same effective $g$-factors are used, VS-IMSRG agrees with experiment nearly as well as the shell model. Hence, the wave functions are very similar in both approaches and missing contributions to the M1 operator are identified as the cause of the discrepancy of VS-IMSRG with experiment. Electric quadrupole moments remain more challenging for VS-IMSRG.

References in corpus (36)

• Modern Theory of Nuclear Forces
• Chiral effective field theory and nuclear forces
• Improved nuclear matter calculations from chiral low-momentum interactions
• Nuclear effective field theory: status and perspectives
• The In-Medium Similarity Renormalization Group: A Novel Ab Initio Method for Nuclei
• Evolution of shell structure in exotic nuclei
• Thick-Restart Block Lanczos Method for Large-Scale Shell-Model Calculations
• Charge, neutron, and weak size of the atomic nucleus
• 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
• Non-Empirical Interactions for the Nuclear Shell Model: An Update
• Structure of the lightest tin isotopes
• Ab initio limits of atomic nuclei
• Low momentum nucleon-nucleon potential and shell model effective interactions
• Low momentum nucleon-nucleon potential and shell model effective interactions
• Shape transitions in exotic Si and S isotopes and tensor-force-driven Jahn-Teller effect
• Saturation with chiral interactions and consequences for finite nuclei
• Ground state hyperfine splitting of high Z hydrogenlike ions
• Quantum Monte Carlo calculations of electromagnetic moments and transitions in A <= 9 nuclei with meson-exchange currents derived from chiral effective field theory
• Converged ab initio calculations of heavy nuclei
• Ab initio multi-shell valence-space Hamiltonians and the island of inversion
• Ab initio electromagnetic observables with the in-medium similarity renormalization group
• Testing microscopically derived descriptions of nuclear collectivity: Coulomb excitation of 22Mg
• Ab initio computation of charge densities for Sn and Xe isotopes
• Systematics of E2 strength in the sd-shell with the valence-space in-medium similarity renormalization group
• Quantum Monte Carlo calculations of magnetic moments and M1 transitions in A<=7 nuclei including meson-exchange currents
• Renormalization of the GT operator within the realistic shell model
• High-resolution laser spectroscopy of ${}^{27-32}$Al
• Moving away from singly-magic nuclei with Gorkov Green's function theory
• Can chiral EFT give us satisfaction?
• 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
• The hyperfine anomaly in heavy atoms and its role in precision atomic searches for new physics
• Empirical determination of the Bohr-Weisskopf effect in cesium and improved tests of precision atomic theory in searches for new physics
• The Bohr-Weisskopf effect: from hydrogenlike-ion experiments to heavy-atom calculations of the hyperfine structure

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