Calculations of the binding-energy differences for highly-charged Ho and Dy ions

• URL: http://arxiv.org/abs/2306.03176v2
• Date: Tue, 18 Jul 2023 09:20:29 GMT
• Title: Calculations of the binding-energy differences for highly-charged Ho and Dy ions
• Authors: I. M. Savelyev, M. Y. Kaygorodov, Y. S. Kozhedub, I. I. Tupitsyn, and V. M. Shabaev
• Abstract summary: The binding-energy differences for $163mathrmHoq+$ and $163mathrmDyq+$ ions with ionization degrees $q = 38$, $39$, and $40$ are calculated. The calculations are performed using the large-scale relativistic configuration-interaction and relativistic coupled-clusters methods.
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• License: http://creativecommons.org/publicdomain/zero/1.0/
• Abstract: The binding-energy differences for $^{163}\mathrm{Ho}^{q+}$ and $^{163}\mathrm{Dy}^{q+}$ ions with ionization degrees $q = 38$, $39$, and $40$ are calculated. The calculations are performed using the large-scale relativistic configuration-interaction and relativistic coupled-clusters methods. The contributions from quantum-electrodynamics, nuclear-recoil, and frequency-dependent Breit-interaction effects are taken into account. The final uncertainty does not exceed $1$ eV. Combining the obtained results with the binding-energy difference for neutral atoms calculated in [Savelyev et al., Phys. Rev. A 105, 012806 (2022)], we get the secondary differences of the ion-atom binding energies. These values can be used to evaluate the amount of energy released in the electron capture process in $^{163}\mathrm{Ho}$ atom (the $Q$ value), provided mass differences of highly charged ions $^{163}\mathrm{Ho}^{q+}$ and $^{163}\mathrm{Dy}^{q+}$ is known from experiment. The $Q$ value is required by experiments on the determination of the absolute scale of the electron neutrino mass by studying the beta-decay process.

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