Nuclear deformation as a source of the non-linearity of King plot in the Yb${}^{+}$ ion

Abstract

We perform atomic relativistic many-body calculations of the field isotope shifts and calculations of corresponding nuclear parameters for all stable even-even isotopes of Yb${}^{+}$ ion. We demonstrate that if we take nuclear parameters of the Yb isotopes from a range of the state-the-art nuclear models which all predict strong quadrupole nuclear deformation, then calculated non-linearity of the King plot, caused by the difference in the deformation in different isotopes, is consistent with the non-linearity observed in the experiment (Ian Counts {\em et al}, Phys. Rev. Lett. {\bf 125}, 123002 (2020)). The changes of nuclear RMS radius between isotopes extracted from experiment are consistent with those obtained in the nuclear calculations.

6 pages, 1 figure

References in corpus (4)

• Global performance of covariant energy density functionals: ground state observables of even-even nuclei and the estimate of theoretical uncertainties
• Relativistic corrections to transition frequencies of Ag I, Dy I, Ho I, Yb II, Yb III, Au I and Hg II and search for variation of the fine structure constant
• Improved isotope-shift-based bounds on bosons beyond the Standard Model through measurements of the ${}^2$D${}_{3/2}{-}^2$D${}_{5/2}$ interval in Ca${}^{+}$
• Probing new intra-atomic force with isotope shifts

Cited by in corpus (3)

• MCDHF-CI calculations for Hg and Cd with estimates for unknown clock transition frequencies
• Calculation of isotope shifts and King plot nonlinearities in Ca${}^{+}$
• Evidence of Two-Source King Plot Nonlinearity in Spectroscopic Search for New Boson