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 wa...
| Main Authors: | , , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2019-11-01
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| Series: | Physics Letters B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269319306963 |
| _version_ | 1818947170069381120 |
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| author | X.B. Wang A.C. Hayes J. Carlson G.X. Dong E. Mereghetti S. Pastore R.B. Wiringa |
| author_facet | X.B. Wang A.C. Hayes J. Carlson G.X. Dong E. Mereghetti S. Pastore R.B. Wiringa |
| author_sort | X.B. Wang |
| collection | DOAJ |
| description | 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. 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. Keywords: Neutrinoless double beta decay, Nuclear matrix elements, Shell model, Ab initio method |
| first_indexed | 2024-12-20T08:26:38Z |
| format | Article |
| id | doaj.art-88a17ba6502a4f55a3e06bbcd69f2c12 |
| institution | Directory Open Access Journal |
| issn | 0370-2693 |
| language | English |
| last_indexed | 2024-12-20T08:26:38Z |
| publishDate | 2019-11-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj.art-88a17ba6502a4f55a3e06bbcd69f2c122022-12-21T19:46:48ZengElsevierPhysics Letters B0370-26932019-11-01798Comparison between variational Monte Carlo and shell model calculations of neutrinoless double beta decay matrix elements in light nucleiX.B. Wang0A.C. Hayes1J. Carlson2G.X. Dong3E. Mereghetti4S. Pastore5R.B. Wiringa6School of Science, Huzhou University, Huzhou 313000, China; Corresponding author.Theoretical Division, Los Alamos National Laboratory, Los Alamos, NM 87545, USATheoretical Division, Los Alamos National Laboratory, Los Alamos, NM 87545, USASchool of Science, Huzhou University, Huzhou 313000, ChinaTheoretical Division, Los Alamos National Laboratory, Los Alamos, NM 87545, USADepartment of Physics and McDonnell Center for the Space Sciences, Washington University in St. Louis, MO 63130, USAPhysics Division, Argonne National Laboratory, Argonne, IL 60439, USABenchmark 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. 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. Keywords: Neutrinoless double beta decay, Nuclear matrix elements, Shell model, Ab initio methodhttp://www.sciencedirect.com/science/article/pii/S0370269319306963 |
| spellingShingle | X.B. Wang A.C. Hayes J. Carlson G.X. Dong E. Mereghetti S. Pastore R.B. Wiringa Comparison between variational Monte Carlo and shell model calculations of neutrinoless double beta decay matrix elements in light nuclei Physics Letters B |
| title | Comparison between variational Monte Carlo and shell model calculations of neutrinoless double beta decay matrix elements in light nuclei |
| title_full | Comparison between variational Monte Carlo and shell model calculations of neutrinoless double beta decay matrix elements in light nuclei |
| title_fullStr | Comparison between variational Monte Carlo and shell model calculations of neutrinoless double beta decay matrix elements in light nuclei |
| title_full_unstemmed | Comparison between variational Monte Carlo and shell model calculations of neutrinoless double beta decay matrix elements in light nuclei |
| title_short | Comparison between variational Monte Carlo and shell model calculations of neutrinoless double beta decay matrix elements in light nuclei |
| title_sort | comparison between variational monte carlo and shell model calculations of neutrinoless double beta decay matrix elements in light nuclei |
| url | http://www.sciencedirect.com/science/article/pii/S0370269319306963 |
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