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arXiv · 2211.11914

The Bohr-Weisskopf effect in the potassium isotopes

Yu. A. Demidov·M. G. Kozlov·A. E. Barzakh·V. A. Yerokhin
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Abstract

The magnetic hyperfine structure constants have been calculated for low-lying levels in neutral potassium atom taking into account the Bohr--Weisskopf (BW) and Breit--Rosenthal (BR) effects. According to our results the $4p_{1/2}$ state of K~I is free from both BR and BW corrections on the level of the current theoretical uncertainties. Using this finding and the measured values of the $A(4p_{1/2})$ constants, we corrected the nuclear magnetic moments for several short-lived potassium isotopes. The BW correction is represented as a product of atomic and nuclear factors. We calculated the atomic factor for the ground state of K I, which allowed us to extract nuclear factors for potassium $I^\pi = 3/2^+$ isotopes from the experimental data. In this way the application range of the single-particle nuclear model for nuclear-factor calculation in these isotopes has been clarified.

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Yu. A. Demidov, M. G. Kozlov, A. E. Barzakh, V. A. Yerokhin. 2022-11-21. The Bohr-Weisskopf effect in the potassium isotopes. https://doi.org/10.1103/physrevc.107.024307

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