Ground State Magnetic Dipole Moment of ${}^{40}$Sc

Abstract

The hyperfine coupling constants of the proton dripline odd-odd ${}^{40}$Sc nucleus were deduced from the hyperfine spectrum of the $3d4s{}^3{\text{D}}_2$\,$\leftrightarrow$\,$3d4p{}^3{\text{F}}_3^{\circ }$ transition in Sc II, measured by the bunched beam collinear laser spectroscopy technique. The ground state magnetic dipole and electric quadrupole moments were determined for the first time as $\mu$\,=\,$+5.57(4)(2){\mu }_N$ and $Q$\,=\,$+42(38)(28)e^2\mathrm{f}{\mathrm{m}}^2$, respectively. The magnetic moment is well reproduced by the additivity rule with magnetic moments of neighboring odd-even nuclei in the vicinity of the doubly-magic ${}^{40}$Ca nucleus. An ab-initio multishell valence-space Hamiltonian was also employed to calculate the magnetic moment of ${}^{40}$Sc, which spans across the $sd$ and $fp$ nuclear shells, where we obtained good agreements.

References in corpus (8)

• Chiral effective field theory and nuclear forces
• Improved nuclear matter calculations from chiral low-momentum interactions
• A nucleus-dependent valence-space approach to nuclear structure
• Mass measurements of 99-101In challenge ab initio nuclear theory of the nuclide 100Sn
• Ground State Electromagnetic Moments of ${}^{37}$Ca
• Kinetic-beam-energy determination via collinear laser spectroscopy
• In-beam $\gamma$-ray spectroscopy at the proton dripline: ${}^{40}$Sc
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Cited by in corpus (2)

• Surprising charge-radius kink in the Sc isotopes at N=20
• Electromagnetic moments in the Sn-Gd region determined within nuclear DFT