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

Wang, X. B.; Hayes, A. C.; Carlson, J.; Dong, G. X.; Mereghetti, E.; Pastore, S.; Wiringa, R. B.

doi:10.1016/j.physletb.2019.134974

Title: 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:

; Hayes, A. C.; Carlson, J.; Dong, G. X.; Mereghetti, E.; Pastore, S.; Wiringa, R. B.

Publication Date:: Fri Nov 01 00:00:00 EDT 2019

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

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

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:: 89233218CNA000001; AC02-06CH11357

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.

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                    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

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                    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.

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@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         = {Fri Nov 01 00:00:00 EDT 2019},

  month        = {Fri Nov 01 00:00:00 EDT 2019}

}

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

Abstract

Citation Formats

Figures / Tables:

Disassembling the nuclear matrix elements of the neutrinoless ββ decay journal, March 2009

Search for Neutrinoless Double-Beta Decay with the Upgraded EXO-200 Detector journal, February 2018

Quantum Monte Carlo calculations of nuclei with A <~ 7 journal, October 1997

Occupancies of individual orbits, and the nuclear matrix element of the Ge 76 neutrinoless β β decay journal, October 2009

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Double beta decay journal, January 1984

First Result on the Neutrinoless Double- β Decay of Se 82 with CUPID-0 journal, June 2018

Spurious center-of-mass motion journal, December 1974

Structure and dynamics of few-nucleon systems journal, July 1998

Limit on Neutrinoless β β Decay of Xe 136 from the First Phase of KamLAND-Zen and Comparison with the Positive Claim in Ge 76 journal, February 2013

0 ν β β and 2 ν β β nuclear matrix elements in the interacting boson model with isospin restoration journal, March 2015

Neutrinoless Double-Beta Decay journal, January 2012

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Current Status and Future Prospects of the SNO+ Experiment journal, January 2016

Spin-isospin structure and pion condensation in nucleon matter journal, October 1997

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Double Beta Decay and Majorana Neutrino journal, January 1985

Status and future of nuclear matrix elements for neutrinoless double-beta decay: a review journal, March 2017

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Variational calculation of the ground state of O 16 journal, November 1992

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First Results from CUORE: A Search for Lepton Number Violation via 0 ν β β Decay of Te 130 journal, March 2018

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New determination of double- β -decay properties in 48 Ca : High-precision Q β β -value measurement and improved nuclear matrix element calculations journal, April 2014

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Large-Scale Shell-Model Analysis of the Neutrinoless β β Decay of Ca 48 journal, March 2016

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Effective interactions for the 0 p 1 s 0 d nuclear shell-model space journal, September 1992

Disassembling the nuclear matrix elements of the neutrinoless ββ decay
journal, March 2009

Search for Neutrinoless Double-Beta Decay with the Upgraded EXO-200 Detector
journal, February 2018

Quantum Monte Carlo calculations of nuclei with $A <~ 7$
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Occupancies of individual orbits, and the nuclear matrix element of the ${}^{76}{Ge}$ neutrinoless $β β$ decay
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Neutrinoless double- $β$ decay in SU(2)×U(1) theories
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Double beta decay
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First Result on the Neutrinoless Double- $β$ Decay of ${}^{82}{Se}$ with CUPID-0
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Spurious center-of-mass motion
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Structure and dynamics of few-nucleon systems
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Limit on Neutrinoless $β β$ Decay of ${}^{136}{Xe}$ from the First Phase of KamLAND-Zen and Comparison with the Positive Claim in ${}^{76}{Ge}$
journal, February 2013

$0 ν β β$ and $2 ν β β$ nuclear matrix elements in the interacting boson model with isospin restoration
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Current Status and Future Prospects of the SNO+ Experiment
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Initial Results from the Majorana Demonstrator
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First Results from CUORE: A Search for Lepton Number Violation via $0 ν β β$ Decay of ${}^{130}{Te}$
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Neutrinoless double-beta decay: A probe of physics beyond the Standard Model
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Search for Neutrinoless Double- $β$ Decay in ${}^{76}{Ge}$ with the Majorana Demonstrator
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Large-basis shell-model treatment of A = 16
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Variational calculation of the ground state of closed-shell nuclei up to $A = 40$
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