Nobelium energy levels and hyperfine structure constants

Abstract

Advances in laser spectroscopy of superheavy ($Z>100$) elements enabled determination of the nuclear moments of the heaviest nuclei, which requires high-precision atomic calculations of the relevant hyperfine structure (HFS) constants. Here, we calculated the HFS constants and energy levels for a number of nobelium (Z=102) states using the hybrid approach, combining linearized coupled-cluster and configuration interaction methods. We also carried out an extensive study of the No energies using 16-electron configuration interaction method to determine the position of the (5f^{13}7s^2 6d) and (5f^{13}7s^2 7p) levels with a hole in the 5f shell to evaluate their potential effect on the hyperfine structure calculations of the low-lying (5f^{14}7s6d) and (5f^{14}7s7p) levels. We find that unlike the case of Yb, the mixing of the low-lying levels with filled and unfilled f shell is small and does not significantly influence their properties. The resulting HFS constants for the 5f^{14}7s7p 1P1 level, combined with laser-spectroscopy measurement, were used to extract nobelium nuclear properties [S. Raeder et al., Phys. Rev. Lett. 120, 232503 (2018)]

5 pages

References in corpus (5)

• Development of a configuration-interaction + all-order method for atomic calculations
• Combining configuration interaction with perturbation theory for atoms with large number of valence electrons
• Atomic properties of superheavy elements No, Lr, and Rf
• Combination of the single-double coupled cluster and the configuration interaction methods; application to barium, lutetium and their ions
• A theoretical study of the g-factor of the 6s6p 3P0 state of mercury

Cited by in corpus (9)

• Recent progress in laser spectroscopy of the actinides
• Using isotope shift for testing nuclear theory: the case of nobelium isotopes
• pCI: a parallel configuration interaction software package for high-precision atomic structure calculations
• Theoretical study of the spectroscopic properties of mendelevium ($Z=101$)
• Detection of missing low-lying atomic states in actinium
• Fast configuration-interaction calculations for nobelium and ytterbium
• Measurement of the $7p{}^2{P}_{3/2}$ state branching fractions in ${\mathrm{Ra}}^{+}$
• Theoretical study of electronic structure of hafnium (Hf, Z=72) and rutherfordium (Rf, Z=104) atoms and their ions: Energy levels and hyperfine structure constants
• Role of triple excitations in calculating different properties of Ba+