Coupled-Cluster Calculations of Neutrinoless Double- β Decay in Ca 48

Novario, S. J.; Gysbers, P.; Engel, J.; Hagen, G.; Jansen, G.  R.; Morris, T.  D.; Navrátil, P.; Papenbrock, T.; Quaglioni, S.

doi:10.1103/physrevlett.126.182502

Title: Coupled-Cluster Calculations of Neutrinoless Double- $β$ Decay in ${}^{48}{Ca}$

Abstract

We use coupled-cluster theory and nuclear interactions from chiral effective field theory to compute the nuclear matrix element for the neutrinoless double-$$\beta$$ decay of $$^{48}$$Ca. Benchmarks with the no-core shell model in several light nuclei inform us about the accuracy of our approach. For $$^{48}$$Ca we find a relatively small matrix element. We also compute the nuclear matrix element for the two-neutrino double-$$\beta$$ decay of $$^{48}$$Ca with a quenching factor deduced from two-body currents in recent ab initio calculation of the Ikeda sum rule in $$^{48}$$Ca [Gysbers et al., Nat. Phys. 15, 428 (2019)].

Authors:

^[1]; Gysbers, P. ^[2];

^[3];

^[4];

^[5];

^[6];

^[7];

^[1];

^[8]

Univ. of Tennessee, Knoxville, TN (United States); Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
TRIUMF, Vancouver, BC (Canada); Univ. of British Columbia, Vancouver, BC (Canada)
Univ. of North Carolina, Chapel Hill, NC (United States)
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States); Univ. of Tennessee, Knoxville, TN (United States); TRIUMF, Vancouver, BC (Canada)
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). National Center for Computational Sciences (NCCS)
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
TRIUMF, Vancouver, BC (Canada)
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

Publication Date:: Fri May 07 00:00:00 EDT 2021

Research Org.:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States); Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States); Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Nuclear Physics (NP)

OSTI Identifier:: 1782660

Alternate Identifier(s):: OSTI ID: 1784160; OSTI ID: 1814094; OSTI ID: 1825445

Report Number(s):: LLNL-JRNL-814108; LA-UR-21-22076
Journal ID: ISSN 0031-9007; TRN: US2210032

Grant/Contract Number:: FG02-96ER40963; FG02-97ER41019; SC0008499; AC52-07NA27344; AC05-00OR22725; 89233218CNA000001

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review Letters

Additional Journal Information:: Journal Volume: 126; Journal Issue: 18; Journal ID: ISSN 0031-9007

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Double beta decay; Neutrinoless double beta decay; Nuclear many-body theory; Nuclear structure & decays

Citation Formats


                    Novario, S. J., Gysbers, P., Engel, J., Hagen, G., Jansen, G.  R., Morris, T.  D., Navrátil, P., Papenbrock, T., and Quaglioni, S. Coupled-Cluster Calculations of Neutrinoless Double- β Decay in Ca 48.  United States: N. p., 2021. 
Web.  doi:10.1103/physrevlett.126.182502.

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                    Novario, S. J., Gysbers, P., Engel, J., Hagen, G., Jansen, G.  R., Morris, T.  D., Navrátil, P., Papenbrock, T., & Quaglioni, S. Coupled-Cluster Calculations of Neutrinoless Double- β Decay in Ca 48.  United States.  https://doi.org/10.1103/physrevlett.126.182502

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                    Novario, S. J., Gysbers, P., Engel, J., Hagen, G., Jansen, G.  R., Morris, T.  D., Navrátil, P., Papenbrock, T., and Quaglioni, S. Fri .  
"Coupled-Cluster Calculations of Neutrinoless Double- β Decay in Ca 48".  United States.  https://doi.org/10.1103/physrevlett.126.182502.  https://www.osti.gov/servlets/purl/1782660.

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@article{osti_1782660,

  title        = {Coupled-Cluster Calculations of Neutrinoless Double- β Decay in Ca 48},

  author       = {Novario, S. J. and Gysbers, P. and Engel, J. and Hagen, G. and Jansen, G.  R. and Morris, T.  D. and Navrátil, P. and Papenbrock, T. and Quaglioni, S.},

  abstractNote = {We use coupled-cluster theory and nuclear interactions from chiral effective field theory to compute the nuclear matrix element for the neutrinoless double-$\beta$ decay of $^{48}$Ca. Benchmarks with the no-core shell model in several light nuclei inform us about the accuracy of our approach. For $^{48}$Ca we find a relatively small matrix element. We also compute the nuclear matrix element for the two-neutrino double-$\beta$ decay of $^{48}$Ca with a quenching factor deduced from two-body currents in recent ab initio calculation of the Ikeda sum rule in $^{48}$Ca [Gysbers et al., Nat. Phys. 15, 428 (2019)].},

  doi          = {10.1103/physrevlett.126.182502},

  journal      = {Physical Review Letters},

  number       = 18,

  volume       = 126,

  place        = {United States},

  year         = {Fri May 07 00:00:00 EDT 2021},

  month        = {Fri May 07 00:00:00 EDT 2021}

}

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We report new results from the search for neutrinoless double-beta decay inmore »« less
Cited by 126
https://doi.org/10.1103/PhysRevLett.124.122501

Full Text Available
Final Result of the Majorana Demonstrator’s Search for Neutrinoless Double- $β$ Decay in ${}^{76}{Ge}$

Journal Article Arnquist, I. J. ; Avignone, F. T. ; Barabash, A. S. ; ... - Physical Review Letters

The Majorana Demonstrator searched for neutrinoless double-more »« less
https://doi.org/10.1103/PhysRevLett.130.062501
First Results from CUORE: A Search for Lepton Number Violation via $0 ν β β$ Decay of ${}^{130}{Te}$

Journal Article Alduino, C. ; Alessandria, F. ; Alfonso, K. ; ... - Physical Review Letters

The CUORE experiment, a ton-scale cryogenic bolometer array, recently began operation at the Laboratori Nazionali del Gran Sasso in Italy. The array represents a significant advancement in this technology, and in this work we apply it for the first time to a high-sensitivity search for a lepton-number-violating process: ¹³⁰Te neutrinoless double-beta decay. Examining a total TeO₂ exposure of 86.3 kg yr, characterized by an effective energy resolution of (7.7 ± 0.5) keV FWHM and a background in the region of interest of (0.014 ± 0.002) counts /(keV kg yr), we find no evidence for neutrinoless double-beta decay. Including systematic uncertainties, we place a lower limit on the decay half-life of Tmore »« less
Cited by 218
https://doi.org/10.1103/PhysRevLett.120.132501

Full Text Available
Electric Dipole Polarizability of ${}^{48}{Ca}$ and Implications for the Neutron Skin

Journal Article Birkhan, J. ; Miorelli, M. ; Bacca, S. ; ... - Physical Review Letters

The electric dipole strength distribution in ⁴⁸Ca between 5 and 25 MeV has been determined at RCNP, Osaka, from proton inelastic scattering experiments at forward angles. Combined with photoabsorption data at higher excitation energy, this enables the rst extraction of the electric dipole polarizability D(⁴⁸Ca) = 2:07(22) fm³. Remarkably, the dipole response of ⁴⁸Ca is found to be very similar to that of ⁴⁰Ca, consistent with a small neutron skin in ⁴⁸Ca. The experimental results are in good agreement with ab initio calculations based on chiral e ective eld theory interactions and with state-of-the-art density-functional calculations, implying a neutron skinmore » in ⁴⁸Ca of 0:14 - 0:20 fm.« less
Cited by 107
https://doi.org/10.1103/PhysRevLett.118.252501

Full Text Available
Gamow-Teller Strength in Ca 48 and Ni 78 with the Charge-Exchange Subtracted Second Random-Phase Approximation

Journal Article Gambacurta, D. ; Grasso, M. ; Engel, J. - Physical Review Letters

Here, we develop a fully self-consistent subtracted second random-phase approximation for charge-exchange processes with Skyrme energy-density functionals. As a first application, we study Gamow-Teller excitations in the doubly magic nucleus ⁴⁸Ca, the lightest double-β emitter that could be used in an experiment, and in ⁷⁸Ni, the single-beta-decay rate of which is known. The amount of Gamow-Teller strength below 20 or 30 MeV is considerably smaller than in other energy-density-functional calculations and agrees better with experiment in ⁴⁸Ca, as does the beta-decay rate in ⁷⁸Ni. These important results, obtained without ad hoc quenching factors, are due to the presence of two-particle–two-holemore »« less
https://doi.org/10.1103/physrevlett.125.212501

Full Text Available

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Title: Coupled-Cluster Calculations of Neutrinoless Double- β Decay in Ca 48

Abstract

Citation Formats

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

Projected coupled cluster theory journal, August 2017

Neutrinoless double- β decay in SU(2)×U(1) theories journal, June 1982

Ab Initio Treatment of Collective Correlations and the Neutrinoless Double Beta Decay of Ca 48 journal, June 2020

Symmetry broken and restored coupled-cluster theory: I. Rotational symmetry and angular momentum journal, December 2014

Systematic study of nuclear matrix elements in neutrinoless double- β decay with a beyond-mean-field covariant density functional theory journal, February 2015

Piecewise moments method: Generalized Lanczos technique for nuclear response surfaces journal, December 2005

Ab initio no core shell model journal, March 2013

Towards a full CCSDT model for electron correlation journal, October 1985

Toward open-shell nuclei with coupled-cluster theory journal, May 2011

Natural orbitals for ab initio no-core shell model calculations journal, March 2019

Improved nuclear matter calculations from chiral low-momentum interactions journal, March 2011

Optical potential from first principles journal, February 2017

Many – Body Methods in Chemistry and Physics book, January 2009

Medium-Mass Nuclei with Normal-Ordered Chiral N N + 3 N Interactions journal, July 2012

Neutrinoless double beta decay studied with configuration mixing methods journal, April 2011

Neutrinoless double- β decay of 48 Ca in the shell model: Closure versus nonclosure approximation journal, December 2013

A full description of the 2νββ decay of 48Ca journal, December 1990

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

Ab initio calculations of medium-mass nuclei with explicit chiral 3 N interactions journal, February 2013

New effective interaction for p f -shell nuclei and its implications for the stability of the N = Z = 28 closed core journal, March 2004

Search for neutrinoless double- β decay in Ge 76 with 26 kg yr of exposure from the Majorana Demonstrator journal, August 2019

Few-nucleon forces from chiral Lagrangians journal, June 1994

Neutrinoless double- β decay in effective field theory: The light-Majorana neutrino-exchange mechanism journal, June 2018

Correlations and neutrinoless β β decay nuclear matrix elements of p f -shell nuclei journal, August 2014

Generalised meshes for quantum mechanical problems journal, August 1986

μ→eγ at a rate of one out of 109 muon decays? journal, April 1977

Many-fermion theory in expS- (or coupled cluster) form journal, February 1978

Recent developments in no-core shell-model calculations journal, May 2009

Generalized discrete variable approximation in quantum mechanics journal, February 1985

Discrepancy between experimental and theoretical β-decay rates resolved from first principles journal, March 2019

New calculations for phase space factors involved in double- β decay journal, September 2013

Continuum Effects and Three-Nucleon Forces in Neutron-Rich Oxygen Isotopes journal, June 2012

Towards a full CCSDT model for electron correlation. CCSDT-n models journal, February 1987

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

E FFECTIVE F IELD T HEORY FOR F EW -N UCLEON S YSTEMS journal, December 2002

Coupled-cluster computations of atomic nuclei journal, September 2014

Coupled-cluster theory in quantum chemistry journal, February 2007

New Leading Contribution to Neutrinoless Double- β Decay journal, May 2018

Short-range correlations in nuclear wave functions journal, June 1960

Nuclear structure and double beta decay journal, November 2012

Large-basis ab initio no-core shell model and its application to 12 C journal, October 2000

Evolution of Shell Structure in Neutron-Rich Calcium Isotopes journal, July 2012

0 ν β β and 2 ν β β nuclear matrix elements, quasiparticle random-phase approximation, and isospin symmetry restoration journal, April 2013

Orbital-invariant spin-extended approximate coupled-cluster for multi-reference systems journal, July 2018

Double Beta Decay of 48 Ca journal, December 1996

Leptogenesis journal, September 2008

How Robust is the N = 34 Subshell Closure? First Spectroscopy of Ar 52 journal, February 2019

Neutrinoless double- β decay of Sn 124 , Te 130 , and Xe 136 in the Hamiltonian-based generator-coordinate method journal, December 2018

Probing Majorana neutrinos with double-β decay journal, September 2019

Lattice QCD Inputs for nuclear double beta decay journal, May 2020

Average and recommended half-life values for two-neutrino double beta decay: Upgrade-2019 conference, January 2019

Search for double beta decay of 48Ca in the TGV experiment journal, December 2000

Chiral effective field theory and nuclear forces journal, June 2011

Coupled-cluster theory for three-body Hamiltonians journal, September 2007

Use of the discrete variable representation basis in nuclear physics journal, May 2013

Neutron and weak-charge distributions of the 48Ca nucleus journal, November 2015

Bound states of a many-particle system journal, June 1958

On Transition Probabilities in Double Beta-Disintegration journal, December 1939

Shape and Pairing Fluctuation Effects on Neutrinoless Double Beta Decay Nuclear Matrix Elements journal, September 2013

Modern theory of nuclear forces journal, December 2009

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

Search for Neutrinoless Double- β Decay with the Complete EXO-200 Dataset journal, October 2019

Effective summation over intermediate states in double-beta decay journal, December 1992

Renormalized approach to neutrinoless double- β decay journal, November 2019

Shell model study of the isobaric chains A=50, A=51 and A=52 journal, November 2001

Average and recommended half-life values for two-neutrino double beta decay journal, March 2015

Anatomy of the 0 ν β β nuclear matrix elements journal, April 2008

Neutrino Mass and Spontaneous Parity Nonconservation journal, April 1980

A general framework for discrete variable representation basis sets journal, May 2002

New theoretical results for 2 ν β β decay within a fully renormalized proton-neutron random-phase approximation approach with the gauge symmetry restored journal, December 2011

Electric dipole polarizability from first principles calculations journal, September 2016

Ab Initio Neutrinoless Double-Beta Decay Matrix Elements for Ca 48 , Ge 76 , and Se 82 journal, January 2021

Benchmark neutrinoless double- β decay matrix elements in a light nucleus journal, July 2020

Charge radii of exotic neon and magnesium isotopes journal, November 2020

Measurement of the double-beta decay half-life and search for the neutrinoless double-beta decay of Ca 48 with the NEMO-3 detector journal, June 2016

Status of 48 Ca double beta decay search and its future prospect in CANDLES journal, February 2020

Title: Coupled-Cluster Calculations of Neutrinoless Double- $β$ Decay in ${}^{48}{Ca}$

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

Projected coupled cluster theory
journal, August 2017

Neutrinoless double- $β$ decay in SU(2)×U(1) theories
journal, June 1982

Ab Initio Treatment of Collective Correlations and the Neutrinoless Double Beta Decay of ${}^{48}{Ca}$
journal, June 2020

Symmetry broken and restored coupled-cluster theory: I. Rotational symmetry and angular momentum
journal, December 2014

Systematic study of nuclear matrix elements in neutrinoless double- $β$ decay with a beyond-mean-field covariant density functional theory
journal, February 2015

Piecewise moments method: Generalized Lanczos technique for nuclear response surfaces
journal, December 2005

Ab initio no core shell model
journal, March 2013

Towards a full CCSDT model for electron correlation
journal, October 1985

Toward open-shell nuclei with coupled-cluster theory
journal, May 2011

Natural orbitals for ab initio no-core shell model calculations
journal, March 2019

Improved nuclear matter calculations from chiral low-momentum interactions
journal, March 2011

Optical potential from first principles
journal, February 2017

Many – Body Methods in Chemistry and Physics
book, January 2009

Medium-Mass Nuclei with Normal-Ordered Chiral $N N + 3 N$ Interactions
journal, July 2012

Neutrinoless double beta decay studied with configuration mixing methods
journal, April 2011

Neutrinoless double- $β$ decay of $^{48}$ Ca in the shell model: Closure versus nonclosure approximation
journal, December 2013

A full description of the 2νββ decay of 48Ca
journal, December 1990

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

Ab initio calculations of medium-mass nuclei with explicit chiral 3 $N$ interactions
journal, February 2013

New effective interaction for $p f$ -shell nuclei and its implications for the stability of the $N = Z = 28$ closed core
journal, March 2004

Search for neutrinoless double- β decay in Ge 76 with 26 kg yr of exposure from the Majorana Demonstrator
journal, August 2019

Few-nucleon forces from chiral Lagrangians
journal, June 1994

Neutrinoless double- $β$ decay in effective field theory: The light-Majorana neutrino-exchange mechanism
journal, June 2018

Correlations and neutrinoless $β β$ decay nuclear matrix elements of $p f$ -shell nuclei
journal, August 2014

Generalised meshes for quantum mechanical problems
journal, August 1986

μ→eγ at a rate of one out of 109 muon decays?
journal, April 1977

Many-fermion theory in expS- (or coupled cluster) form
journal, February 1978

Recent developments in no-core shell-model calculations
journal, May 2009

Generalized discrete variable approximation in quantum mechanics
journal, February 1985

Discrepancy between experimental and theoretical β-decay rates resolved from first principles
journal, March 2019

New calculations for phase space factors involved in double- $β$ decay
journal, September 2013

Continuum Effects and Three-Nucleon Forces in Neutron-Rich Oxygen Isotopes
journal, June 2012

Towards a full CCSDT model for electron correlation. CCSDT-n models
journal, February 1987

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

E FFECTIVE F IELD T HEORY FOR F EW -N UCLEON S YSTEMS
journal, December 2002

Coupled-cluster computations of atomic nuclei
journal, September 2014

Coupled-cluster theory in quantum chemistry
journal, February 2007

New Leading Contribution to Neutrinoless Double- $β$ Decay
journal, May 2018

Short-range correlations in nuclear wave functions
journal, June 1960

Nuclear structure and double beta decay
journal, November 2012

Large-basis ab initio no-core shell model and its application to $^{12} C$
journal, October 2000

Evolution of Shell Structure in Neutron-Rich Calcium Isotopes
journal, July 2012

$0 ν β β$ and $2 ν β β$ nuclear matrix elements, quasiparticle random-phase approximation, and isospin symmetry restoration
journal, April 2013

Orbital-invariant spin-extended approximate coupled-cluster for multi-reference systems
journal, July 2018

Double Beta Decay of $^{48} Ca$
journal, December 1996

Leptogenesis
journal, September 2008

How Robust is the $N = 34$ Subshell Closure? First Spectroscopy of ${}^{52}{Ar}$
journal, February 2019

Neutrinoless double- $β$ decay of ${}^{124}{Sn}$ , ${}^{130}{Te}$ , and ${}^{136}{Xe}$ in the Hamiltonian-based generator-coordinate method
journal, December 2018

Probing Majorana neutrinos with double-β decay
journal, September 2019

Lattice QCD Inputs for nuclear double beta decay
journal, May 2020

Average and recommended half-life values for two-neutrino double beta decay: Upgrade-2019
conference, January 2019

Search for double beta decay of 48Ca in the TGV experiment
journal, December 2000

Chiral effective field theory and nuclear forces
journal, June 2011

Coupled-cluster theory for three-body Hamiltonians
journal, September 2007

Use of the discrete variable representation basis in nuclear physics
journal, May 2013

Neutron and weak-charge distributions of the 48Ca nucleus
journal, November 2015

Bound states of a many-particle system
journal, June 1958

On Transition Probabilities in Double Beta-Disintegration
journal, December 1939

Shape and Pairing Fluctuation Effects on Neutrinoless Double Beta Decay Nuclear Matrix Elements
journal, September 2013

Modern theory of nuclear forces
journal, December 2009

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

Search for Neutrinoless Double- β Decay with the Complete EXO-200 Dataset
journal, October 2019

Effective summation over intermediate states in double-beta decay
journal, December 1992

Renormalized approach to neutrinoless double- β decay
journal, November 2019

Shell model study of the isobaric chains A=50, A=51 and A=52
journal, November 2001

Average and recommended half-life values for two-neutrino double beta decay
journal, March 2015

Anatomy of the $0 ν β β$ nuclear matrix elements
journal, April 2008

Neutrino Mass and Spontaneous Parity Nonconservation
journal, April 1980

A general framework for discrete variable representation basis sets
journal, May 2002

New theoretical results for $2 ν β β$ decay within a fully renormalized proton-neutron random-phase approximation approach with the gauge symmetry restored
journal, December 2011

Electric dipole polarizability from first principles calculations
journal, September 2016

Ab Initio Neutrinoless Double-Beta Decay Matrix Elements for ${}^{48}{Ca}$ , ${}^{76}{Ge}$ , and ${}^{82}{Se}$
journal, January 2021

Benchmark neutrinoless double- $β$ decay matrix elements in a light nucleus
journal, July 2020

Charge radii of exotic neon and magnesium isotopes
journal, November 2020

Measurement of the double-beta decay half-life and search for the neutrinoless double-beta decay of ${}^{48}{Ca}$ with the NEMO-3 detector
journal, June 2016

Status of ⁴⁸ Ca double beta decay search and its future prospect in CANDLES
journal, February 2020

Phase-space factors for double- $β$ decay
journal, March 2012

Spherical coupled-cluster theory for open-shell nuclei
journal, August 2013