Neutrinoless double- β decay matrix elements in large shell-model spaces with the generator-coordinate method

Jiao, C. F.; Engel, J.; Holt, J. D.

doi:10.1103/PhysRevC.96.054310

Title: Neutrinoless double- $β$ decay matrix elements in large shell-model spaces with the generator-coordinate method

Journal Article · Mon Nov 13 00:00:00 EST 2017 · Physical Review C

DOI:https://doi.org/10.1103/PhysRevC.96.054310· OSTI ID:1408557

Jiao, C. F.; Engel, J.; Holt, J. D.

View Accepted Manuscript (Publisher)

Cite

Export

Save

Sponsoring Organization:: USDOE

Grant/Contract Number:: FG0297ER41019; SC0008641; SC0004142

OSTI ID:: 1408557

Journal Information:: Physical Review C, Journal Name: Physical Review C Vol. 96 Journal Issue: 5; ISSN 2469-9985

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

Citation Metrics:

Cited by: 38 works

Citation information provided by
Web of Science

References (47)

Disassembling the nuclear matrix elements of the neutrinoless ββ decay Menéndez, J.; Poves, A.; Caurier, E. Nuclear Physics A, Vol. 818, Issue 3-4 https://doi.org/10.1016/j.nuclphysa.2008.12.005	journal	March 2009
Effective double- $β$ -decay operator for $^{76}$ Ge and $^{82}$ Se Holt, Jason D.; Engel, Jonathan Physical Review C, Vol. 87, Issue 6 https://doi.org/10.1103/PhysRevC.87.064315	journal	June 2013
Systematic study of nuclear matrix elements in neutrinoless double- $β$ decay with a beyond-mean-field covariant density functional theory Yao, J. M.; Song, L. S.; Hagino, K. Physical Review C, Vol. 91, Issue 2 https://doi.org/10.1103/PhysRevC.91.024316	journal	February 2015
$0 ν β β$ -decay nuclear matrix elements with self-consistent short-range correlations Šimkovic, Fedor; Faessler, Amand; Müther, Herbert Physical Review C, Vol. 79, Issue 5 https://doi.org/10.1103/PhysRevC.79.055501	journal	May 2009
Double beta decay, Majorana neutrinos, and neutrino mass Avignone, Frank T.; Elliott, Steven R.; Engel, Jonathan Reviews of Modern Physics, Vol. 80, Issue 2 https://doi.org/10.1103/RevModPhys.80.481	journal	April 2008
The MAJORANA DEMONSTRATOR Neutrinoless Double-Beta Decay Experiment Abgrall, N.; Aguayo, E.; Avignone, F. T. Advances in High Energy Physics, Vol. 2014 https://doi.org/10.1155/2014/365432	journal	January 2014
Ground and excited states of doubly open-shell nuclei from ab initio valence-space Hamiltonians Stroberg, S. R.; Hergert, H.; Holt, J. D. Physical Review C, Vol. 93, Issue 5 https://doi.org/10.1103/PhysRevC.93.051301	journal	May 2016
Improved nuclear matter calculations from chiral low-momentum interactions Hebeler, K.; Bogner, S. K.; Furnstahl, R. J. Physical Review C, Vol. 83, Issue 3 https://doi.org/10.1103/PhysRevC.83.031301	journal	March 2011
Status and future of nuclear matrix elements for neutrinoless double-beta decay: a review Engel, Jonathan; Menéndez, Javier Reports on Progress in Physics, Vol. 80, Issue 4 https://doi.org/10.1088/1361-6633/aa5bc5	journal	March 2017
Convergence of effective hamiltonian expansion and partial summations of folded diagrams Krenciglowa, E. M.; Kuo, T. T. S. Nuclear Physics A, Vol. 235, Issue 1 https://doi.org/10.1016/0375-9474(74)90184-5	journal	December 1974
Correlations and neutrinoless $β β$ decay nuclear matrix elements of $p f$ -shell nuclei Menéndez, Javier; Rodríguez, Tomás R.; Martínez-Pinedo, Gabriel Physical Review C, Vol. 90, Issue 2 https://doi.org/10.1103/PhysRevC.90.024311	journal	August 2014
Nuclear structure effects in double-beta decay Engel, J.; Vogel, P.; Zirnbauer, M. R. Physical Review C, Vol. 37, Issue 2 https://doi.org/10.1103/PhysRevC.37.731	journal	February 1988
Saturation with chiral interactions and consequences for finite nuclei Simonis, J.; Stroberg, S. R.; Hebeler, K. Physical Review C, Vol. 96, Issue 1 https://doi.org/10.1103/PhysRevC.96.014303	journal	July 2017
Triaxial angular momentum projection and configuration mixing calculations with the Gogny force Rodríguez, Tomás R.; Egido, J. Luis Physical Review C, Vol. 81, Issue 6 https://doi.org/10.1103/PhysRevC.81.064323	journal	June 2010
Proton-neutron pairing amplitude as a generator coordinate for double- $β$ decay Hinohara, Nobuo; Engel, Jonathan Physical Review C, Vol. 90, Issue 3 https://doi.org/10.1103/PhysRevC.90.031301	journal	September 2014
Latest results from the HEIDELBERG-MOSCOW double beta decay experiment Klapdor-Kleingrothaus, H. V.; Dietz, A.; Baudis, L. The European Physical Journal A, Vol. 12, Issue 2 https://doi.org/10.1007/s100500170022	journal	October 2001
Results on Neutrinoless Double- $β$ Decay of ${}^{76}{Ge}$ from Phase I of the GERDA Experiment Agostini, M.; Allardt, M.; Andreotti, E. Physical Review Letters, Vol. 111, Issue 12 https://doi.org/10.1103/PhysRevLett.111.122503	journal	September 2013
The shell model as a unified view of nuclear structure Caurier, E.; Martínez-Pinedo, G.; Nowacki, F. Reviews of Modern Physics, Vol. 77, Issue 2 https://doi.org/10.1103/RevModPhys.77.427	journal	June 2005
Three-Body Forces and the Limit of Oxygen Isotopes Otsuka, Takaharu; Suzuki, Toshio; Holt, Jason D. Physical Review Letters, Vol. 105, Issue 3 https://doi.org/10.1103/PhysRevLett.105.032501	journal	July 2010
Nuclear structure and double beta decay Vogel, Petr Journal of Physics G: Nuclear and Particle Physics, Vol. 39, Issue 12 https://doi.org/10.1088/0954-3899/39/12/124002	journal	November 2012
Suppression of the two-neutrino double-beta decay by nuclear-structure effects Vogel, P.; Zirnbauer, M. R. Physical Review Letters, Vol. 57, Issue 25 https://doi.org/10.1103/PhysRevLett.57.3148	journal	December 1986
$0 ν β β$ and $2 ν β β$ nuclear matrix elements, quasiparticle random-phase approximation, and isospin symmetry restoration Šimkovic, Fedor; Rodin, Vadim; Faessler, Amand Physical Review C, Vol. 87, Issue 4 https://doi.org/10.1103/PhysRevC.87.045501	journal	April 2013
Stability of triaxial shapes in ground and excited states of even-even nuclei in the $A \sim 70$ region Shen, S. F.; Zheng, S. J.; Xu, F. R. Physical Review C, Vol. 84, Issue 4 https://doi.org/10.1103/PhysRevC.84.044315	journal	October 2011
Neutrinoless double beta decay within the quasiparticle random-phase approximation with proton-neutron pairing Pantis, G.; Šimkovic, F.; Vergados, J. D. Physical Review C, Vol. 53, Issue 2 https://doi.org/10.1103/PhysRevC.53.695	journal	February 1996
Evidence for rigid triaxial deformation at low energy in $^{76}$ Ge Toh, Y.; Chiara, C. J.; McCutchan, E. A. Physical Review C, Vol. 87, Issue 4 https://doi.org/10.1103/PhysRevC.87.041304	journal	April 2013
Nucleus-Dependent Valence-Space Approach to Nuclear Structure Stroberg, S. R.; Calci, A.; Hergert, H. Physical Review Letters, Vol. 118, Issue 3 https://doi.org/10.1103/PhysRevLett.118.032502	journal	January 2017
Nuclear matrix elements for $0 ν β β$ decays with light or heavy Majorana-neutrino exchange Hyvärinen, Juhani; Suhonen, Jouni Physical Review C, Vol. 91, Issue 2 https://doi.org/10.1103/PhysRevC.91.024613	journal	February 2015
Corrections to the neutrinoless double- $β$ -decay operator in the shell model Engel, Jonathan; Hagen, Gaute Physical Review C, Vol. 79, Issue 6 https://doi.org/10.1103/PhysRevC.79.064317	journal	June 2009
Coupled-cluster theory for three-body Hamiltonians Hagen, G.; Papenbrock, T.; Dean, D. J. Physical Review C, Vol. 76, Issue 3 https://doi.org/10.1103/PhysRevC.76.034302	journal	September 2007
Exploring $s d$ -shell nuclei from two- and three-nucleon interactions with realistic saturation properties Simonis, J.; Hebeler, K.; Holt, J. D. Physical Review C, Vol. 93, Issue 1 https://doi.org/10.1103/PhysRevC.93.011302	journal	January 2016
Nuclear Structure Relevant to Neutrinoless Double $β$ Decay: ${}^{76}{Ge}$ and ${}^{76}{Se}$ Schiffer, J. P.; Freeman, S. J.; Clark, J. A. Physical Review Letters, Vol. 100, Issue 11 https://doi.org/10.1103/PhysRevLett.100.112501	journal	March 2008
Shape and Pairing Fluctuation Effects on Neutrinoless Double Beta Decay Nuclear Matrix Elements Vaquero, Nuria López; Rodríguez, Tomás R.; Egido, J. Luis Physical Review Letters, Vol. 111, Issue 14 https://doi.org/10.1103/PhysRevLett.111.142501	journal	September 2013
Nuclear structure relevant to neutrinoless double $β$ decay: The valence protons in ${}^{76}{Ge}$ and ${}^{76}{Se}$ Kay, B. P.; Schiffer, J. P.; Freeman, S. J. Physical Review C, Vol. 79, Issue 2 https://doi.org/10.1103/PhysRevC.79.021301	journal	February 2009
$0 ν β β$ and $2 ν β β$ nuclear matrix elements in the interacting boson model with isospin restoration Barea, J.; Kotila, J.; Iachello, F. Physical Review C, Vol. 91, Issue 3 https://doi.org/10.1103/PhysRevC.91.034304	journal	March 2015
Level lifetime measurements and the structure of neutron-rich ${}^{78}{Ge}$ Chou, W. -T.; Brenner, D. S.; Casten, R. F. Physical Review C, Vol. 47, Issue 1 https://doi.org/10.1103/PhysRevC.47.157	journal	January 1993
Nonperturbative Shell-Model Interactions from the In-Medium Similarity Renormalization Group Bogner, S. K.; Hergert, H.; Holt, J. D. Physical Review Letters, Vol. 113, Issue 14 https://doi.org/10.1103/PhysRevLett.113.142501	journal	October 2014
Multi-shell effective interactions Tsunoda, Naofumi; Takayanagi, Kazuo; Hjorth-Jensen, Morten Physical Review C, Vol. 89, Issue 2 https://doi.org/10.1103/PhysRevC.89.024313	journal	February 2014
In-medium similarity renormalization group for open-shell nuclei Tsukiyama, K.; Bogner, S. K.; Schwenk, A. Physical Review C, Vol. 85, Issue 6 https://doi.org/10.1103/PhysRevC.85.061304	journal	June 2012
Configuration mixing of angular-momentum-projected triaxial relativistic mean-field wave functions Yao, J. M.; Meng, J.; Ring, P. Physical Review C, Vol. 81, Issue 4 https://doi.org/10.1103/PhysRevC.81.044311	journal	April 2010
Shell model study of the isobaric chains A=50, A=51 and A=52 Poves, A.; Sánchez-Solano, J.; Caurier, E. Nuclear Physics A, Vol. 694, Issue 1-2 https://doi.org/10.1016/S0375-9474(01)00967-8	journal	November 2001
Large-scale calculations of the double- $β$ decay of $^{76} Ge,^{130} Te,^{136} Xe$ , and $^{150} Nd$ in the deformed self-consistent Skyrme quasiparticle random-phase approximation Mustonen, M. T.; Engel, J. Physical Review C, Vol. 87, Issue 6 https://doi.org/10.1103/PhysRevC.87.064302	journal	June 2013
Anatomy of the $0 ν β β$ nuclear matrix elements Šimkovic, Fedor; Faessler, Amand; Rodin, Vadim Physical Review C, Vol. 77, Issue 4 https://doi.org/10.1103/PhysRevC.77.045503	journal	April 2008
Triaxiality and shape coexistence in germanium isotopes Guo, Lu; Maruhn, J. A.; Reinhard, P. -G. Physical Review C, Vol. 76, Issue 3 https://doi.org/10.1103/PhysRevC.76.034317	journal	September 2007
Large-Scale Shell-Model Analysis of the Neutrinoless $β β$ Decay of ${}^{48}{Ca}$ Iwata, Y.; Shimizu, N.; Otsuka, T. Physical Review Letters, Vol. 116, Issue 11 https://doi.org/10.1103/PhysRevLett.116.112502	journal	March 2016
New effective interaction for $f_{5} {pg}_{9}$ -shell nuclei Honma, M.; Otsuka, T.; Mizusaki, T. Physical Review C, Vol. 80, Issue 6 https://doi.org/10.1103/PhysRevC.80.064323	journal	December 2009
Energy Density Functional Study of Nuclear Matrix Elements for Neutrinoless $β β$ Decay Rodríguez, Tomás R.; Martínez-Pinedo, Gabriel Physical Review Letters, Vol. 105, Issue 25 https://doi.org/10.1103/PhysRevLett.105.252503	journal	December 2010
Shell-model calculation of neutrinoless double- $β$ decay of ${}^{76}{Ge}$ Sen'kov, R. A.; Horoi, M. Physical Review C, Vol. 93, Issue 4 https://doi.org/10.1103/PhysRevC.93.044334	journal	April 2016

Similar Records

Neutrinoless double-

β

decay matrix elements in large shell-model spaces with the generator-coordinate method

Journal Article · Wed Nov 01 00:00:00 EDT 2017 · Physical Review C · OSTI ID:1408557

Jiao, C. F.; Engel, J.; Holt, J. D.

Nuclear matrix element of neutrinoless double-

β

decay: Relativity and short-range correlations

Journal Article · Wed Feb 01 00:00:00 EST 2017 · Physical Review C · OSTI ID:1408557

Song, L. S.; Yao, J. M.; Ring, P.; +1 more

Nuclear matrix element of neutrinoless double-

β

decay: Relativity and short-range correlations

Journal Article · Tue Feb 07 00:00:00 EST 2017 · Physical Review C · OSTI ID:1408557

Song, L. S.; Yao, J. M.; Ring, P.; +1 more

Title: Neutrinoless double- β decay matrix elements in large shell-model spaces with the generator-coordinate method

Citation Formats

References (47)

Similar Records

Related Subjects

Title: Neutrinoless double- $β$ decay matrix elements in large shell-model spaces with the generator-coordinate method