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arXiv · 2306.06990

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

Anna V. Viatkina·Vladimir A. Yerokhin·Andrey Surzhykov
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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 $3d_{3/2}\rightarrow 4s$, $3d_{5/2}\rightarrow 4s$, and $4p_{1/2}\rightarrow 4s$ transitions. For these transitions, second-order mass shift and nuclear polarization correction are identified as the dominant sources of King plot nonlinearity.

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Anna V. Viatkina, Vladimir A. Yerokhin, Andrey Surzhykov. 2023-06-12. Calculation of isotope shifts and King plot nonlinearities in Ca$^+$. https://doi.org/10.1103/physreva.108.022802

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