Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Branching ratios for deexcitation processes of daughter nuclei following
  invisible dinucleon decays in $^{16}$O   Various theories beyond the standard model of particle physics predict the
existence of baryon number violating processes resulting in nucleon decay. When
occurring within an atomic nucleus, such a decay will be followed by secondary
decays of the daughter nucleus unless its ground state is directly populated.
In this paper, we estimate branching ratios for processes associated with
dinucleon decays of the $^{16}$O nucleus. To this end, we use a simple shell
model for the ground state of $^{16}$O. For decays from the 1$s_{1/2}$
configuration, which result in highly excited states in the daughter nucleus,
we employ a statistical model with the Hauser-Feshbach theory. Our analysis
indicates that the branching ratio for gamma-ray emission in the energy range
between 5 and 9 MeV, which is relevant to low-threshold water Cherenkov
experiments such as SNO+, is 4.53%, 35.7%, and 20.2% for the $nn$, $pp$, and
$pn$ decays in $^{16}$O, respectively. In particular, emission of 6.09 MeV and
7.01 MeV gamma-rays from $^{14}$C, and 6.45 MeV and 7.03 MeV gamma-rays from
$^{14}$N, have branching ratios as large as 10.9%, 20.1%, 7.73% and 8.90%,
respectively.

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The categories of this paper are: dg-ga
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The categories of this paper are: gr-qc
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-th
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The categories of this paper are: astro-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: atom-ph
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The categories of this paper are: funct-an
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The categories of this paper are: adap-org
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The categories of this paper are: cmp-lg
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The categories of this paper are: q-fin
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The categories of this paper are: patt-sol
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The categories of this paper are: econ
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The categories of this paper are: math-ph
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The categories of this paper are: eess
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The categories of this paper are: q-alg