Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Search for $\beta^+$EC and ECEC processes in $^{112}$Sn and
  $\beta^-\beta^-$ decay of $^{124}$Sn to the excited states of $^{124}$Te   Limits on $\beta^+$EC and ECEC processes in $^{112}$Sn and on
$\beta^-\beta^-$ decay of $^{124}$Sn to the excited states of $^{124}$Te have
been obtained using a 380 cm$^3$ HPGe detector and an external source
consisting of natural tin. A limit with 90% C.L. on the $^{112}$Sn half-life of
$0.92\times 10^{20}$ y for the ECEC(0$\nu$) transition to the $0^+_3$ excited
state in $^{112}$Cd (1871.0 keV) has been established. This transition is
discussed in the context of a possible enhancement of the decay rate by several
orders of magnitude given that the ECEC$(0\nu)$ process is nearly degenerate
with an excited state in the daughter nuclide. Prospects for investigating such
a process in future experiments are discussed. The $\beta^-\beta^-$ decay
limits for $^{124}$Sn to the excited states of $^{124}$Te were obtained on the
level of $(0.8-1.2)\times 10^{21}$ y at the 90% C.L.

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The categories of this paper are: gr-qc
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The categories of this paper are: hep-ex
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The categories of this paper are: math
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The categories of this paper are: bayes-an
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The categories of this paper are: comp-gas
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The categories of this paper are: cmp-lg
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The categories of this paper are: chem-ph
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The categories of this paper are: physics
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The categories of this paper are: eess
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The categories of this paper are: alg-geom
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The categories of this paper are: adap-org
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The categories of this paper are: ao-sci
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The categories of this paper are: q-bio
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The categories of this paper are: funct-an
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The categories of this paper are: q-fin
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The categories of this paper are: q-alg