Benchmark neutrinoless double-β decay matrix elements in a light nucleus
Abstract
We compute nuclear matrix elements of neutrinoless double-β decay mediated by light Majorana-neutrino exchange in the $$\textit{A}$$ = 6 system. The goal for this work is to benchmark two many-body approaches, the no-core shell model and the multireference in-medium similarity renormalization group (SRG). We use a SRG-evolved next-to-next-to-next-to-leading chiral order two-body potential for the nuclear interaction, and make the approximation that the isospin is conserved. We compare the results of the two approaches as a function of the cutoff on the many-body basis space. Although differences are seen in the predicted nuclear radii, the ground-state energies and neutrinoless double-β decay matrix elements produced by the two approaches show significant agreement. We discuss the implications for calculations in heavier nuclei.
- Authors:
-
- Iowa State Univ., Ames, IA (United States)
- Univ. of North Carolina, Chapel Hill, NC (United States); Michigan State Univ., East Lansing, MI (United States)
- Univ. of North Carolina, Chapel Hill, NC (United States)
- Michigan State Univ., East Lansing, MI (United States)
- Publication Date:
- Research Org.:
- Iowa State Univ., Ames, IA (United States); University of North Carolina, Chapel Hill, NC (United States); Michigan State Univ., East Lansing, MI (United States); Univ. of Tennessee, Knoxville, TN (United States); Univ. of California, Oakland, CA (United States); Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC)
- Sponsoring Org.:
- USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR). Scientific Discovery through Advanced Computing (SciDAC)
- OSTI Identifier:
- 1800677
- Grant/Contract Number:
- FG02-87ER40371; FG02-97ER41019; SC0015376; SC0017887; SC0018223; AC02-05CH11231
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review. C
- Additional Journal Information:
- Journal Volume: 102; Journal Issue: 1; Journal ID: ISSN 2469-9985
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; Physics
Citation Formats
Basili, R. A. M., Yao, J. M., Engel, J., Hergert, H., Lockner, M., Maris, P., and Vary, J. P. Benchmark neutrinoless double-β decay matrix elements in a light nucleus. United States: N. p., 2020.
Web. doi:10.1103/physrevc.102.014302.
Basili, R. A. M., Yao, J. M., Engel, J., Hergert, H., Lockner, M., Maris, P., & Vary, J. P. Benchmark neutrinoless double-β decay matrix elements in a light nucleus. United States. https://doi.org/10.1103/physrevc.102.014302
Basili, R. A. M., Yao, J. M., Engel, J., Hergert, H., Lockner, M., Maris, P., and Vary, J. P. Thu .
"Benchmark neutrinoless double-β decay matrix elements in a light nucleus". United States. https://doi.org/10.1103/physrevc.102.014302. https://www.osti.gov/servlets/purl/1800677.
@article{osti_1800677,
title = {Benchmark neutrinoless double-β decay matrix elements in a light nucleus},
author = {Basili, R. A. M. and Yao, J. M. and Engel, J. and Hergert, H. and Lockner, M. and Maris, P. and Vary, J. P.},
abstractNote = {We compute nuclear matrix elements of neutrinoless double-β decay mediated by light Majorana-neutrino exchange in the $\textit{A}$ = 6 system. The goal for this work is to benchmark two many-body approaches, the no-core shell model and the multireference in-medium similarity renormalization group (SRG). We use a SRG-evolved next-to-next-to-next-to-leading chiral order two-body potential for the nuclear interaction, and make the approximation that the isospin is conserved. We compare the results of the two approaches as a function of the cutoff on the many-body basis space. Although differences are seen in the predicted nuclear radii, the ground-state energies and neutrinoless double-β decay matrix elements produced by the two approaches show significant agreement. We discuss the implications for calculations in heavier nuclei.},
doi = {10.1103/physrevc.102.014302},
journal = {Physical Review. C},
number = 1,
volume = 102,
place = {United States},
year = {Thu Jul 02 00:00:00 EDT 2020},
month = {Thu Jul 02 00:00:00 EDT 2020}
}
Works referenced in this record:
Challenges in Double Beta Decay
journal, January 2014
- Cremonesi, Oliviero; Pavan, Maura
- Advances in High Energy Physics, Vol. 2014
Ab Initio Treatment of Collective Correlations and the Neutrinoless Double Beta Decay of
journal, June 2020
- Yao, J. M.; Bally, B.; Engel, J.
- Physical Review Letters, Vol. 124, Issue 23
A generalized Talmi-Moshinsky transformation for few-body and direct interaction matrix elements
journal, April 1981
- Tobocman, W.
- Nuclear Physics A, Vol. 357, Issue 2
Search for Neutrinoless Double-Beta Decay of with CUORE-0
journal, September 2015
- Alfonso, K.; Artusa, D. R.; Avignone, F. T.
- Physical Review Letters, Vol. 115, Issue 10
Assessment of uncertainties in QRPA -decay nuclear matrix elements
journal, February 2006
- Rodin, V. A.; Faessler, Amand; Šimkovic, F.
- Nuclear Physics A, Vol. 766
-decay nuclear matrix elements with self-consistent short-range correlations
journal, May 2009
- Šimkovic, Fedor; Faessler, Amand; Müther, Herbert
- Physical Review C, Vol. 79, Issue 5
Two-body correlations in nuclear systems
journal, January 2000
- Müther, H.; Polls, A.
- Progress in Particle and Nuclear Physics, Vol. 45, Issue 1
Ab initio no core shell model
journal, March 2013
- Barrett, Bruce R.; Navrátil, Petr; Vary, James P.
- Progress in Particle and Nuclear Physics, Vol. 69
Isotensor Axial Polarizability and Lattice QCD Input for Nuclear Double- Decay Phenomenology
journal, August 2017
- Shanahan, Phiala E.; Tiburzi, Brian C.; Wagman, Michael L.
- Physical Review Letters, Vol. 119, Issue 6
Convergence in the no-core shell model with low-momentum two-nucleon interactions
journal, March 2008
- Bogner, S. K.; Furnstahl, R. J.; Maris, P.
- Nuclear Physics A, Vol. 801, Issue 1-2
Erratum to: “Assessment of uncertainties in QRPA -decay nuclear matrix elements” [Nucl. Phys. A 766 (2006) 107]
journal, September 2007
- Rodin, V. A.; Faessler, Amand; Šimkovic, F.
- Nuclear Physics A, Vol. 793, Issue 1-4
Ground and excited states of doubly open-shell nuclei from ab initio valence-space Hamiltonians
journal, May 2016
- Stroberg, S. R.; Hergert, H.; Holt, J. D.
- Physical Review C, Vol. 93, Issue 5
Double beta decay, Majorana neutrinos, and neutrino mass
journal, April 2008
- Avignone, Frank T.; Elliott, Steven R.; Engel, Jonathan
- Reviews of Modern Physics, Vol. 80, Issue 2
Systematic expansion for infrared oscillator basis extrapolations
journal, April 2014
- Furnstahl, R. J.; More, S. N.; Papenbrock, T.
- Physical Review C, Vol. 89, Issue 4
First Results from KamLAND: Evidence for Reactor Antineutrino Disappearance
journal, January 2003
- Eguchi, K.; Enomoto, S.; Furuno, K.
- Physical Review Letters, Vol. 90, Issue 2
Scaling of ab-initio nuclear physics calculations on multicore computer architectures
journal, May 2010
- Maris, Pieter; Sosonkina, Masha; Vary, James P.
- Procedia Computer Science, Vol. 1, Issue 1
The AME2016 atomic mass evaluation (II). Tables, graphs and references
journal, March 2017
- Wang, Meng; Audi, G.; Kondev, F. G.
- Chinese Physics C, Vol. 41, Issue 3
Double- decay matrix elements from lattice quantum chromodynamics
journal, September 2017
- Tiburzi, Brian C.; Wagman, Michael L.; Winter, Frank
- Physical Review D, Vol. 96, Issue 5
Short-range correlation effects on the nuclear matrix element of neutrinoless double- β decay
journal, December 2014
- Benhar, Omar; Biondi, Riccardo; Speranza, Enrico
- Physical Review C, Vol. 90, Issue 6
Status and future of nuclear matrix elements for neutrinoless double-beta decay: a review
journal, March 2017
- Engel, Jonathan; Menéndez, Javier
- Reports on Progress in Physics, Vol. 80, Issue 4
Effective operators in two-nucleon systems
journal, December 2018
- Vary, James P.; Basili, Robert; Du, Weijie
- Physical Review C, Vol. 98, Issue 6
Neutrinoless double- decay matrix elements in light nuclei
journal, January 2018
- Pastore, S.; Carlson, J.; Cirigliano, V.
- Physical Review C, Vol. 97, Issue 1
Neutrinoless Double Beta Decay: 2015 Review
journal, January 2016
- Dell’Oro, Stefano; Marcocci, Simone; Viel, Matteo
- Advances in High Energy Physics, Vol. 2016
Search for Neutrinoless Double- Decay in with the Majorana Demonstrator
journal, March 2018
- Aalseth, C. E.; Abgrall, N.; Aguayo, E.
- Physical Review Letters, Vol. 120, Issue 13
Evidence for Oscillation of Atmospheric Neutrinos
journal, August 1998
- Fukuda, Y.; Hayakawa, T.; Ichihara, E.
- Physical Review Letters, Vol. 81, Issue 8
Search for Majorana Neutrinos Near the Inverted Mass Hierarchy Region with KamLAND-Zen
journal, August 2016
- Gando, A.; Gando, Y.; Hachiya, T.
- Physical Review Letters, Vol. 117, Issue 8
Discrepancy between experimental and theoretical β-decay rates resolved from first principles
journal, March 2019
- Gysbers, P.; Hagen, G.; Holt, J. D.
- Nature Physics, Vol. 15, Issue 5
Infrared extrapolations for atomic nuclei
journal, February 2015
- Furnstahl, R. J.; Hagen, G.; Papenbrock, T.
- Journal of Physics G: Nuclear and Particle Physics, Vol. 42, Issue 3
New calculations for phase space factors involved in double- decay
journal, September 2013
- Stoica, Sabin; Mirea, Mihail
- Physical Review C, Vol. 88, Issue 3
Magnus expansion and in-medium similarity renormalization group
journal, September 2015
- Morris, T. D.; Parzuchowski, N. M.; Bogner, S. K.
- Physical Review C, Vol. 92, Issue 3
Accurate charge-dependent nucleon-nucleon potential at fourth order of chiral perturbation theory
journal, October 2003
- Entem, D. R.; Machleidt, R.
- Physical Review C, Vol. 68, Issue 4
Sensitivity of NEXT-100 to neutrinoless double beta decay
journal, May 2016
- Martín-Albo, J.; Muñoz Vidal, J.; Ferrario, P.
- Journal of High Energy Physics, Vol. 2016, Issue 5
Publisher’s Note: Search for Majorana Neutrinos Near the Inverted Mass Hierarchy Region with KamLAND-Zen [Phys. Rev. Lett. 117 , 082503 (2016)]
journal, September 2016
- Gando, A.; Gando, Y.; Hachiya, T.
- Physical Review Letters, Vol. 117, Issue 10
A survey of pion charge-exchange reactions with nuclei
journal, September 1976
- Miller, Gerald A.; Spencer, James E.
- Annals of Physics, Vol. 100, Issue 1-2
Neutrinoless double beta decay in chiral effective field theory: lepton number violation at dimension seven
journal, December 2017
- Cirigliano, V.; Dekens, W.; de Vries, J.
- Journal of High Energy Physics, Vol. 2017, Issue 12
Ab initio effective interactions for -shell valence nucleons
journal, June 2015
- Dikmen, E.; Lisetskiy, A. F.; Barrett, B. R.
- Physical Review C, Vol. 91, Issue 6
Nucleus-Dependent Valence-Space Approach to Nuclear Structure
journal, January 2017
- Stroberg, S. R.; Calci, A.; Hergert, H.
- Physical Review Letters, Vol. 118, Issue 3
Measurement of the Rate of Interactions Produced by Solar Neutrinos at the Sudbury Neutrino Observatory
journal, July 2001
- Ahmad, Q. R.; Allen, R. C.; Andersen, T. C.
- Physical Review Letters, Vol. 87, Issue 7
Generator-coordinate reference states for spectra and decay in the in-medium similarity renormalization group
journal, November 2018
- Yao, J. M.; Engel, J.; Wang, L. J.
- Physical Review C, Vol. 98, Issue 5
Open -shell nuclei from first principles
journal, July 2016
- Jansen, G. R.; Schuster, M. D.; Signoracci, A.
- Physical Review C, Vol. 94, Issue 1
Microscopic Shell Model Calculations for sd-Shell Nuclei
conference, February 2017
- Barrett, Bruce R.; Dikmen, Erdal; Maris, Pieter
- Proceedings of the 14th International Symposium on Nuclei in the Cosmos (NIC2016)
Chiral effective field theory and nuclear forces
journal, June 2011
- Machleidt, R.; Entem, D. R.
- Physics Reports, Vol. 503, Issue 1
Neutrinoless double- decay matrix elements in large shell-model spaces with the generator-coordinate method
journal, November 2017
- Jiao, C. F.; Engel, J.; Holt, J. D.
- Physical Review C, Vol. 96, Issue 5
Lithium isotopes within the ab initio no-core full configuration approach
journal, September 2012
- Cockrell, Chase; Vary, James P.; Maris, Pieter
- Physical Review C, Vol. 86, Issue 3
Comparison between variational Monte Carlo and shell model calculations of neutrinoless double beta decay matrix elements in light nuclei
journal, November 2019
- Wang, X. B.; Hayes, A. C.; Carlson, J.
- Physics Letters B, Vol. 798
Erratum: Large-Scale Shell-Model Analysis of the Neutrinoless Decay of [Phys. Rev. Lett. 116 , 112502 (2016)]
journal, October 2016
- Iwata, Y.; Shimizu, N.; Otsuka, T.
- Physical Review Letters, Vol. 117, Issue 17
Accelerating nuclear configuration interaction calculations through a preconditioned block iterative eigensolver
journal, January 2018
- Shao, Meiyue; Aktulga, H. Metin; Yang, Chao
- Computer Physics Communications, Vol. 222
First observation of beta-delayed deuteron emission
journal, January 1990
- Riisager, K.; Borge, M. J. G.; Gabelmann, H.
- Physics Letters B, Vol. 235, Issue 1-2
Improving the scalability of a symmetric iterative eigensolver for multi-core platforms: IMPROVING THE SCALABILITY OF A SYMMETRIC ITERATIVE EIGENSOLVER
journal, September 2013
- Aktulga, Hasan Metin; Yang, Chao; Ng, Esmond G.
- Concurrency and Computation: Practice and Experience, Vol. 26, Issue 16
Nuclear Structure from the In-Medium Similarity Renormalization Group
journal, June 2018
- Hergert, H.; Yao, J. M.; Morris, T. D.
- Journal of Physics: Conference Series, Vol. 1041
Ground-state properties of 4 He and 16 O extrapolated from lattice QCD with pionless EFT
journal, September 2017
- Contessi, L.; Lovato, A.; Pederiva, F.
- Physics Letters B, Vol. 772
Current Status and Future Prospects of the SNO+ Experiment
journal, January 2016
- Andringa, S.; Arushanova, E.; Asahi, S.
- Advances in High Energy Physics, Vol. 2016
Recent Results from the M ajorana D emonstrator
journal, January 2018
- Gilliss, T.; Alvis, S. I.; Arnquist, I. J.
- International Journal of Modern Physics: Conference Series, Vol. 46
Ab initio no-core solutions for 6 Li
journal, May 2017
- Shin, Ik Jae; Kim, Youngman; Maris, Pieter
- Journal of Physics G: Nuclear and Particle Physics, Vol. 44, Issue 7
Nonperturbative Shell-Model Interactions from the In-Medium Similarity Renormalization Group
journal, October 2014
- Bogner, S. K.; Hergert, H.; Holt, J. D.
- Physical Review Letters, Vol. 113, Issue 14
Ab Initio Coupled-Cluster Effective Interactions for the Shell Model: Application to Neutron-Rich Oxygen and Carbon Isotopes
journal, October 2014
- Jansen, G. R.; Engel, J.; Hagen, G.
- Physical Review Letters, Vol. 113, Issue 14
The In-Medium Similarity Renormalization Group: A novel ab initio method for nuclei
journal, March 2016
- Hergert, H.; Bogner, S. K.; Morris, T. D.
- Physics Reports, Vol. 621
Anatomy of the nuclear matrix elements
journal, April 2008
- Šimkovic, Fedor; Faessler, Amand; Rodin, Vadim
- Physical Review C, Vol. 77, Issue 4
Convergence properties of ab initio calculations of light nuclei in a harmonic oscillator basis
journal, November 2012
- Coon, S. A.; Avetian, M. I.; Kruse, M. K. G.
- Physical Review C, Vol. 86, Issue 5
Corrections to nuclear energies and radii in finite oscillator spaces
journal, September 2012
- Furnstahl, R. J.; Hagen, G.; Papenbrock, T.
- Physical Review C, Vol. 86, Issue 3
Phase-space factors for double- decay
journal, March 2012
- Kotila, J.; Iachello, F.
- Physical Review C, Vol. 85, Issue 3
Ab initio no-core full configuration calculations of light nuclei
journal, January 2009
- Maris, P.; Vary, J. P.; Shirokov, A. M.
- Physical Review C, Vol. 79, Issue 1
The search for neutrinoless double beta decay
journal, January 2012
- Gomez-Cadenas, J. J.; Martin-Albo, J.; Mezzetto, M.
- La Rivista Del Nuovo Cimento
Matrix elements and few-body calculations within the unitary correlation operator method
journal, September 2005
- Roth, R.; Hergert, H.; Papakonstantinou, P.
- Physical Review C, Vol. 72, Issue 3
Large-Scale Shell-Model Analysis of the Neutrinoless Decay of
journal, March 2016
- Iwata, Y.; Shimizu, N.; Otsuka, T.
- Physical Review Letters, Vol. 116, Issue 11
Nuclear matrix element of neutrinoless double- decay: Relativity and short-range correlations
journal, February 2017
- Song, L. S.; Yao, J. M.; Ring, P.
- Physical Review C, Vol. 95, Issue 2
Shell model analysis of the neutrinoless double- decay of
journal, February 2010
- Horoi, Mihai; Stoica, Sabin
- Physical Review C, Vol. 81, Issue 2
Infrared extrapolations of quadrupole moments and transitions
journal, April 2016
- Odell, D.; Papenbrock, T.; Platter, L.
- Physical Review C, Vol. 93, Issue 4
From low-momentum interactions to nuclear structure
journal, July 2010
- Bogner, S. K.; Furnstahl, R. J.; Schwenk, A.
- Progress in Particle and Nuclear Physics, Vol. 65, Issue 1
In-medium similarity renormalization group for closed and open-shell nuclei
journal, December 2016
- Hergert, H.
- Physica Scripta, Vol. 92, Issue 2
Current status of neutrinoless double-beta decay searches
journal, November 2016
- Henning, Reyco
- Reviews in Physics, Vol. 1
Additional nucleon current contributions to neutrinoless double decay
journal, October 1999
- Šimkovic, F.; Pantis, G.; Vergados, J. D.
- Physical Review C, Vol. 60, Issue 5
Calculation of Gamow-Teller and two-neutrino double- decay properties for and with a realistic nucleon-nucleon potential
journal, June 2017
- Coraggio, L.; De Angelis, L.; Fukui, T.
- Physical Review C, Vol. 95, Issue 6
Neutrino oscillations and R-parity violating supersymmetry
journal, January 2000
- Haug, O.; Vergados, J. D.; Faessler, Amand
- Nuclear Physics B, Vol. 565, Issue 1-2
How should one formulate, extract and interpret ‘non-observables’ for nuclei?
journal, March 2010
- Furnstahl, R. J.; Schwenk, A.
- Journal of Physics G: Nuclear and Particle Physics, Vol. 37, Issue 6