Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Neutrinoless double-$\beta$ decay of $^{124}$Sn, $^{130}$Te, and
  $^{136}$Xe in the Hamiltonian-based generator-coordinate method   We present a generator-coordinate method for realistic shell-model
Hamiltonians that closely approximates the full shell model calculations of the
matrix elements for the neutrinoless double-$\beta$ decay of $^{124}$Sn,
$^{130}$Te, and $^{136}$Xe. We treat not only quadrupole deformations but also
the proton-neutron pairing amplitudes as generator coordinates. We validate
this method by calculating and comparing spectroscopic quantities with the
exact shell model results and experimental data. Our Hamiltonian-based
generator-coordinate method produces $0\nu\beta\beta$ matrix elements much
closer to the shell model ones, compared to the existing
energy-density-functional-based generator-coordinate approaches. The remaining
overestimation of $0\nu\beta\beta$ nuclear matrix element suggests that
additional correlations may be needed to be taken into account for $^{124}$Sn,
$^{130}$Te, and $^{136}$Xe when calculating with the Hamiltonian-based
generator-coordinate method. The validation of this method may open the
possibility of calculating $0\nu\beta\beta$ matrix element of $^{150}$Nd in a
large shell-model space.

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The categories of this paper are: nlin
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The categories of this paper are: atom-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-lat
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The categories of this paper are: adap-org
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The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th
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The categories of this paper are: quant-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: supr-con
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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: bayes-an
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The categories of this paper are: q-fin
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The categories of this paper are: q-bio