Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Many-body correlations of quasiparticle random-phase approximation in
  nuclear matrix element of neutrinoless double-beta decay   We show that the correlations of the quasiparticle random-phase approximation
(QRPA) significantly reduce the nuclear matrix element (NME) of neutrinoless
double-beta decay by a new mechanism in the calculation for $^{150}$Nd
$\rightarrow$ $^{150}$Sm. This effect is due mainly to the normalization
factors of the QRPA ground states included in the overlap of intermediate
states, to which the QRPA states based on the initial and final ground states
are applied. These normalization factors arise according to the definition of
the QRPA ground state as the vacuum of quasibosons. Our NME is close to those
of other groups in spite of this new reduction effect because we do not use the
proton-neutron pairing interaction usually used for reproducing the
experimental NME of the two-neutrino double-beta ($2\nu\beta\beta$) decay. Our
method can repeoduce the experimental $2\nu\beta\beta$ NME for $^{150}$Nd
$\rightarrow$ $^{150}$Sm with the quenching axial-vector current coupling
without approacing the breaking point of the QRPA. The consistency of QRPA
approaches taking different virtual paths under the closure approximation is
also discussed, and an extension of the QRPA ground state is proposed.

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The categories of this paper are: hep-ph
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
17
The categories of this paper are: q-fin
26
The categories of this paper are: bayes-an
28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
2
The categories of this paper are: math
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
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The categories of this paper are: gr-qc
33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn