Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Shell Model Study of the Double Beta Decays of $^{76}$Ge, $^{82}$Se and
  $^{136}$Xe   The lifetimes for the double beta decays of $^{76}$Ge, $^{82}$Se and
$^{136}$Xe are calculated using very large shell model spaces. The two neutrino
matrix elements obtained are in good agreement with the present experimental
data. For $<m_{\nu}><1$ eV we predict the following upper bounds to the
half-lives for the neutrinoless mode: $T^{(0\nu)}_{1/2}(Ge) > 1.85\,10^{25}
yr.$, $T^{(0\nu)}_{1/2}(Se) > 2.36\,10^{24} yr.$ and $T^{(0\nu)}_{1/2}(Xe) >
1.21\,10^{25} yr$. These results are the first from a new generation of Shell
Model calculations reaching O(10$^{8}$) dimensions.

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The categories of this paper are: acc-phys
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The categories of this paper are: hep-lat
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The categories of this paper are: atom-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: dg-ga
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The categories of this paper are: cmp-lg
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The categories of this paper are: stat
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The categories of this paper are: eess
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The categories of this paper are: cs
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The categories of this paper are: nlin
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The categories of this paper are: q-bio
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The categories of this paper are: quant-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: q-fin
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The categories of this paper are: physics
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The categories of this paper are: chem-ph