Abstract
A method is proposed to determine the nuclear transition amplitude and hence the lifetime of the “nuclear clock transition” between the low-lying () first isomeric state and the ground state of from a measurement of the ground-state factor of few-electron ions. As a tool, the effect of nuclear hyperfine mixing in highly charged ions such as or is used. The ground-state-only -factor measurement would also provide first experimental evidence of nuclear hyperfine mixing in atomic ions. Combining the measurements for H-, Li-, and B-like ions has a potential to improve the initial result for a single charge state and to determine the nuclear magnetic moment to a higher accuracy than that of the currently accepted value. The calculations include relativistic, interelectronic-interaction, QED, and nuclear effects.
- Received 3 September 2021
- Accepted 21 December 2021
DOI:https://doi.org/10.1103/PhysRevLett.128.043001
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