Precision measurement of the $^{43}$Ca$^{+}$ nuclear magnetic moment
- URL: http://arxiv.org/abs/2105.10352v2
- Date: Tue, 31 Aug 2021 10:48:39 GMT
- Title: Precision measurement of the $^{43}$Ca$^{+}$ nuclear magnetic moment
- Authors: R. K. Hanley, D. T. C. Allcock, T. P. Harty, M. A. Sepiol, D. M. Lucas
- Abstract summary: We report precision measurements of the nuclear magnetic moment of textsuperscript43Catextsuperscript+.
The measurement is not corrected for diamagnetic shielding due to the bound electrons.
We use our $mu_I$ value in combination with previous results, to extract the change in shielding constant of calcium ions due to solvation in D$$O: $Delta sigma = -0.00022(1)$.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We report precision measurements of the nuclear magnetic moment of
\textsuperscript{43}Ca\textsuperscript{+}, made by microwave spectroscopy of
the 4s $^2$S$_{1/2}$ $\left|F=4, M=0\right\rangle \rightarrow \left|F=3,
M=1\right\rangle$ ground level hyperfine clock transition at a magnetic field
of $\approx$ 146 G, using a single laser-cooled ion in a Paul trap. We measure
a clock transition frequency of $f = 3199941076.920 \pm 0.046$ Hz, from which
we determine $\mu_I / \mu_{\rm{N}} = -1.315350(9)(1)$, where the uncertainty
(9) arises from uncertainty in the hyperfine $A$ constant, and the (1) arises
from the uncertainty in our measurement. This measurement is not corrected for
diamagnetic shielding due to the bound electrons. We make a second measurement
which is less precise but agrees with the first. We use our $\mu_I$ value, in
combination with previous NMR results, to extract the change in shielding
constant of calcium ions due to solvation in D$_2$O: $\Delta \sigma =
-0.00022(1)$.
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