Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Comparison between Variational Monte Carlo and Shell Model Calculations
  of Neutrinoless Double Beta Decay Matrix Elements in Light Nuclei   Benchmark comparisons between many-body methods are performed to assess the
ingredients necessary for an accurate calculation of neutrinoless double beta
decay matrix elements. Shell model and variational Monte Carlo (VMC)
calculations are carried out for $A=10$ and $12$ nuclei. Different variational
wavefunctions are used to evaluate the uncertainties in the {\it ab initio}
calculations, finding fairly small differences between the VMC double beta
decay matrix elements. For shell model calculations, the role of model space
truncation, radial wavefunction choices, and short-range correlation are
investigated and all found to be important. Based on the detailed comparisons
between the VMC and shell model approaches, we conclude that accurate
descriptions of neutrinoless double beta decay matrix elements require a proper
treatment of both long-range and short-range correlations.

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The categories of this paper are: physics
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The categories of this paper are: quant-ph
34
The categories of this paper are: chem-ph
36
The categories of this paper are: cmp-lg
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The categories of this paper are: acc-phys
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The categories of this paper are: math
37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
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The categories of this paper are: funct-an
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The categories of this paper are: nlin
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The categories of this paper are: nucl-ex
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The categories of this paper are: solv-int
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The categories of this paper are: atom-ph
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The categories of this paper are: cs
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The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th