Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nuclear Moments of Germanium Isotopes around $N$ = 40   Collinear laser spectroscopy measurements were performed on $^{69,71,73}$Ge
isotopes ($Z = 32$) at ISOLDE-CERN. The hyperfine structure of the $4s^2 4p^2
\, ^3P_1 \rightarrow 4s^2 4p 5s \, ^3P_1^o$ transition of the germanium atom
was probed with laser light of 269 nm, produced by combining the
frequency-mixing and frequency-doubling techniques. The hyperfine fields for
both atomic levels were calculated using state-of-the-art atomic relativistic
Fock-space coupled-cluster calculations. A new $^{73}$Ge quadrupole moment was
determined from these calculations and previously measured precision hyperfine
parameters, yielding $Q_{\rm s}$ = $-$0.198(4) b, in excellent agreement with
the literature value from molecular calculations. The moments of $^{69}$Ge have
been revised: $\mu$ = +0.920(5) $\mu_{N}$ and $Q_{\rm s}$= +0.114(8) b, and
those of $^{71}$Ge have been confirmed. The experimental moments around $N =
40$ are interpreted with large-scale shell-model calculations using the JUN45
interaction, revealing rather mixed wave function configurations, although
their $g$-factors are lying close to the effective single-particle values.
Through a comparison with neighboring isotones, the structural change from the
single-particle nature of nickel to deformation in germanium is further
investigated around $N = 40$.

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The categories of this paper are: patt-sol
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The categories of this paper are: math-ph
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The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: quant-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-ex
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The categories of this paper are: plasm-ph
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The categories of this paper are: stat
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The categories of this paper are: mtrl-th
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The categories of this paper are: solv-int
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The categories of this paper are: chao-dyn
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-lat
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The categories of this paper are: econ