Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hyperfine-mediated effects in a Lu$^+$ optical clock   We consider hyperfine-mediated effects for clock transitions in
$^{176}$Lu$^+$. Mixing of fine structure levels due to the hyperfine
interaction bring about modifications to Land\'e $g$-factors and the quadrupole
moment for a given state. Explicit expressions are derived for both $g$-factor
and quadrupole corrections, for which leading order terms arise from the
nuclear magnetic dipole coupling. High accuracy measurements of the $g$-factors
for the $^1S_0$ and $^3D_1$ hyperfine levels are carried out, which provide an
experimental determination of the leading order correction terms.

27
The categories of this paper are: comp-gas
2
The categories of this paper are: math
26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn
23
The categories of this paper are: solv-int
19
The categories of this paper are: eess
0
The categories of this paper are: hep-ph
24
The categories of this paper are: dg-ga
37
The categories of this paper are: supr-con
21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex
11
The categories of this paper are: hep-lat