Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Half-Life and the Nuclear Matrix Element of the $2\nu\beta\beta$
  Decay in $^{76}Ge$   We apply the shell-model wave-functions of $^{76}Ge$ to calculate the nuclear
matrix elements and the half-life of the $2\nu\beta\beta$ decay in $^{76}Ge$.
Our result is comparable to the recent observed $2\nu\beta\beta$-decay
half-life of $^{76}Ge$. Furthemore it provides the upper limit of the effective
neutrino mass is about 0.4 eV from the recent experimental data of the
$0\nu\beta\beta$-decay half-life.

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The categories of this paper are: hep-ex
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The categories of this paper are: solv-int
19
The categories of this paper are: eess
28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph
20
The categories of this paper are: acc-phys
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The categories of this paper are: atom-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: nlin
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The categories of this paper are: math
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The categories of this paper are: cs
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The categories of this paper are: hep-th
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The categories of this paper are: astro-ph