Calculation of isotope shifts and King plot nonlinearities in Ca${}^{+}$

Abstract

Many-body perturbation theory is implemented in order to calculate the isotope shifts of $4s$, $4p_{1/2}$, $4p_{3/2}$, $3d_{3/2}$, and $3d_{5/2}$ energy levels of Ca${}^{+}$, for even isotopes $A=$40, 42, 44, 46, 48. The results are presented for mass shift and field shift, as well as for higher-order field shifts, quadratic mass shift, nuclear polarization correction, and the cross term between field and mass shifts. Additionally, we examine King-plot nonlinearities introduced by the higher-order isotope-shift corrections to the combinations of $3d_{3/2}\to 4s$, $3d_{5/2}\to 4s$, and $4p_{1/2}\to 4s$ transitions. For these transitions, second-order mass shift and nuclear polarization correction are identified as the dominant sources of King plot nonlinearity.

13 pages, 1 figure

References in corpus (8)

• Frequency comb spectroscopy
• An Optical Atomic Clock Based on a Highly Charged Ion
• 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${}^{+}$
• Precision determination of isotope shifts in ytterbium and implications for new physics
• Nuclear deformation as a source of the non-linearity of King plot in the Yb${}^{+}$ ion
• Non-linear isotope-shift effects in Be-like, B-like, and C-like argon
• Nonlinearities of King's plot and their dependence on nuclear radii
• Nuclear polarization effects in atoms and ions

Cited by in corpus (2)

• Deuterium spectroscopy for enhanced bounds on physics beyond the Standard Model
• Isotope-shift factors with quantum electrodynamics effects for many-electron systems: A study of the nuclear charge radius of ${}^{26m}$Al