# Comparison between variational Monte Carlo and shell model calculations of neutrinoless double beta decay matrix elements in light nuclei

## Abstract

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 *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. Here, 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.

- Authors:

- Publication Date:

- Research Org.:
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States); Argonne National Lab. (ANL), Argonne, IL (United States)

- Sponsoring Org.:
- USDOE Office of Science (SC), Nuclear Physics (NP); National Natural Science Foundation of China (NNSFC)

- OSTI Identifier:
- 1566176

- Alternate Identifier(s):
- OSTI ID: 1569623; OSTI ID: 1572163

- Report Number(s):
- LA-UR-19-25587

Journal ID: ISSN 0370-2693; S0370269319306963; 134974; PII: S0370269319306963

- Grant/Contract Number:
- SC0013617; AC02-06CH11357; AC52-06NA25396; 89233218CNA000001

- Resource Type:
- Published Article

- Journal Name:
- Physics Letters B

- Additional Journal Information:
- Journal Name: Physics Letters B Journal Volume: 798 Journal Issue: C; Journal ID: ISSN 0370-2693

- Publisher:
- Elsevier

- Country of Publication:
- Netherlands

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Atomic, Nuclear and Particle Physics; Neutrinoless double beta decay; Nuclear matrix elements; Shell model; Ab initio method

### Citation Formats

```
Wang, X. B., Hayes, A. C., Carlson, J., Dong, G. X., Mereghetti, E., Pastore, S., and Wiringa, R. B. Comparison between variational Monte Carlo and shell model calculations of neutrinoless double beta decay matrix elements in light nuclei. Netherlands: N. p., 2019.
Web. doi:10.1016/j.physletb.2019.134974.
```

```
Wang, X. B., Hayes, A. C., Carlson, J., Dong, G. X., Mereghetti, E., Pastore, S., & Wiringa, R. B. Comparison between variational Monte Carlo and shell model calculations of neutrinoless double beta decay matrix elements in light nuclei. Netherlands. https://doi.org/10.1016/j.physletb.2019.134974
```

```
Wang, X. B., Hayes, A. C., Carlson, J., Dong, G. X., Mereghetti, E., Pastore, S., and Wiringa, R. B. Fri .
"Comparison between variational Monte Carlo and shell model calculations of neutrinoless double beta decay matrix elements in light nuclei". Netherlands. https://doi.org/10.1016/j.physletb.2019.134974.
```

```
@article{osti_1566176,
```

title = {Comparison between variational Monte Carlo and shell model calculations of neutrinoless double beta decay matrix elements in light nuclei},

author = {Wang, X. B. and Hayes, A. C. and Carlson, J. and Dong, G. X. and Mereghetti, E. and Pastore, S. and Wiringa, R. B.},

abstractNote = {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 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. Here, 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.},

doi = {10.1016/j.physletb.2019.134974},

journal = {Physics Letters B},

number = C,

volume = 798,

place = {Netherlands},

year = {2019},

month = {11}

}

https://doi.org/10.1016/j.physletb.2019.134974

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