Bohr-Weisskopf effect in the potassium isotopes

The magnetic hyperfine structure constants have been calculated for low-lying levels in aneutral potassium atoms taking into account the Bohr-Weisskopf (BW) and Breit-Rosenthal (BR) effects. According to our results the 4p1/2 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(4 p1/2) 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.

Automated summary

The magnetic hyperfine structure constants were calculated for low-lying levels in neutral potassium atoms, considering the effects of Bohr-Weisskopf (BW) and Breit-Rosenthal (BR). It was found that the 4p1/2 state of K I is not affected by both BR and BW corrections within the current theoretical uncertainties. By using this finding and the measured values of the A(4 p1/2) constants, the nuclear magnetic moments of several short-lived potassium isotopes were corrected. The BW correction was represented as a product of atomic and nuclear factors, and the atomic factor for the ground state of K I was calculated to extract nuclear factors for potassium I pi = 3/2+ isotopes from experimental data. Thus, the applicability of the single-particle nuclear model for calculating nuclear factors in these isotopes has been clarified.