Electromagnetic moments in the Sn-Gd region determined within nuclear DFT

Abstract

Within the nuclear DFT framework, employing the Skyrme UNEDF1 functional and incorporating pairing correlations, we determined the spectroscopic electric quadrupole and magnetic dipole moments of the $\nu 11/2^{-}$ and $\pi 7/2^{+}$ configurations in heavy, deformed, open-shell odd nuclei with $50\le Z\le 64$. The notions of self-consistent shape and spin polarisations due to odd nucleons responsible for generating total electric quadrupole and magnetic dipole moments were transformed into detailed computational procedures. The alignment of intrinsic angular momentum along the axial symmetry axis, necessitating signature and time-reversal symmetry breaking, followed by the restoration of rotational symmetry, proved to be essential components of the method. In contrast, the restoration of particle number symmetry yields modifications of only about 1%. With the isovector spin-spin terms of the functional previously adjusted in near doubly magic nuclei across the mass chart, the calculations were parameter-free. Effective charges and $g$-factors were not employed. A reasonably good agreement was achieved between the calculated and measured electric quadrupole moments. A similarly fair description of the magnetic dipole moments was obtained for the intruder configurations $\nu 11/2^{-}$ alongside a poor description of those for $\pi 7/2^{+}$.

35 pages, 19 figures, and supplemental material, version accepted for publication in the Journal of Physics G: Nuclear and Particle Physics

References in corpus (20)

• Laser Spectroscopy for the Study of Exotic Nuclei
• Solution of the Skyrme-Hartree-Fock-Bogolyubov equations in the Cartesian deformed harmonic-oscillator basis. (VI) HFODD (v2.38j): a new version of the program
• Skyrme-Hartree-Fock-Bogoliubov mass models on a 3D mesh: II. Time-reversal symmetry breaking
• Zr Isotopes as a region of intertwined quantum phase transitions
• Impact of two-body currents on magnetic dipole moments of nuclei
• The shape of gold
• Nuclear DFT analysis of electromagnetic moments in odd near doubly magic nuclei
• Electromagnetic Properties of Indium Isotopes Elucidate the Doubly Magic Character of ${}^{100}$Sn
• Isomeric excitation energy for ${}^{99}$In${}^m$ from mass spectrometry reveals constant trend next to doubly magic ${}^{100}$Sn
• Configuration mixing and intertwined quantum phase transitions in odd-mass niobium isotopes
• Electromagnetic moments of the antimony isotopes ${}^{112-133}$Sb
• Multireference covariant density-functional theory for the low-lying states of odd-mass nuclei
• Ab-initio no-core shell model study of ${}^{18-24}$Ne isotopes
• Electromagnetic moments of the odd-mass nickel isotopes ${}^{59-67}$Ni
• Ab initio nuclear shape coexistence and emergence of island of inversion around $N=20$
• Ground State Magnetic Dipole Moment of ${}^{40}$Sc
• Study of S, Cl and Ar isotopes with $N\ge Z$ using microscopic effective $sd$-shell interactions
• Shape polarization in the tin isotopes near $N=60$ from precision $g$-factor measurements on short-lived $11/2^{-}$ isomers
• Nuclear structure properties of ${}^{193-200}$Hg isotopes within large-scale shell model calculations
• Bulk and decay properties of neutron-deficient odd-mass Hg isotopes around A = 185

Cited by in corpus (1)

• Electromagnetic moments of ground and excited states calculated in heavy odd-N open-shell nuclei