Chiral effective field theory calculations of weak transitions in light nuclei

King, G. B.; Andreoli, L.; Pastore, S.; Piarulli, M.; Schiavilla, R.; Wiringa, R. B.; Carlson, J.; Gandolfi, S.

doi:10.1103/physrevc.102.025501

Title: Chiral effective field theory calculations of weak transitions in light nuclei

Abstract

In this work, we report quantum Monte Carlo calculations of weak transitions in A≤10 nuclei, based on the Norfolk two- and three-nucleon chiral interactions, and associated one- and two-body axial currents. Furthermore, we find that the contribution from two-body currents is at the 2–3% level, with the exception of matrix elements entering the rates of 8Li, 8B, and 8He β decay. These matrix elements are suppressed in impulse approximation based on the (leading order) Gamow Teller transition operator alone; two-body currents provide a 20–30% correction, which is, however, insufficient to bring theory in agreement with experimental data. For the other transitions, the agreement with the data is satisfactory, and the results exhibit a negligible to mild model dependence when different combinations of Norfolk interactions are utilized to construct the nuclear wave functions. We report a complete study of two-body weak transition densities which reveals the expected universal behavior of two-body currents at short distances throughout the range of A=3 to A=10 systems considered here.

Authors:

^[1];

^[2]; Piarulli, M. ^[1];

^[3]; Wiringa, R. B. ^[4]; Carlson, J. ^[5];

^[5]

Washington Univ., St. Louis, MO (United States)
Washington Univ., St. Louis, MO (United States); Washington Univ., St. Louis, MO (United States). McDonnell Center for the Space Sciences
Old Dominion Univ., Norfolk, VA (United States); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States). Theory Center
Argonne National Lab. (ANL), Argonne, IL (United States)
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

Publication Date:: Thu Aug 20 00:00:00 EDT 2020

Research Org.:: Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); Argonne National Laboratory (ANL), Argonne, IL (United States); Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

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

OSTI Identifier:: 1649984

Alternate Identifier(s):: OSTI ID: 1657247; OSTI ID: 1688766

Report Number(s):: JLAB-THY-20-3175; DOE/OR-23177-4955; arXiv:2004.05263; LA-UR-20-22861
Journal ID: ISSN 2469-9985; TRN: US2202719

Grant/Contract Number:: SC0013617; AC52-06NA25396; AC02-06CH11357; AC05-06OR23177; 89233218CNA000001

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review. C

Additional Journal Information:: Journal Volume: 102; Journal Issue: 2; Journal ID: ISSN 2469-9985

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; Beta decay; Chiral perturbation theory; Electroweak interactions in nuclear physics; Few-body systems; Nuclear structure & decays; Atomic, Nuclear and Particle Physics

Citation Formats


                    King, G. B., Andreoli, L., Pastore, S., Piarulli, M., Schiavilla, R., Wiringa, R. B., Carlson, J., and Gandolfi, S. Chiral effective field theory calculations of weak transitions in light nuclei.  United States: N. p., 2020. 
Web.  doi:10.1103/physrevc.102.025501.

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                    King, G. B., Andreoli, L., Pastore, S., Piarulli, M., Schiavilla, R., Wiringa, R. B., Carlson, J., & Gandolfi, S. Chiral effective field theory calculations of weak transitions in light nuclei.  United States.  https://doi.org/10.1103/physrevc.102.025501

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                    King, G. B., Andreoli, L., Pastore, S., Piarulli, M., Schiavilla, R., Wiringa, R. B., Carlson, J., and Gandolfi, S. Thu .  
"Chiral effective field theory calculations of weak transitions in light nuclei".  United States.  https://doi.org/10.1103/physrevc.102.025501.  https://www.osti.gov/servlets/purl/1649984.

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@article{osti_1649984,

  title        = {Chiral effective field theory calculations of weak transitions in light nuclei},

  author       = {King, G. B. and Andreoli, L. and Pastore, S. and Piarulli, M. and Schiavilla, R. and Wiringa, R. B. and Carlson, J. and Gandolfi, S.},

  abstractNote = {In this work, we report quantum Monte Carlo calculations of weak transitions in A≤10 nuclei, based on the Norfolk two- and three-nucleon chiral interactions, and associated one- and two-body axial currents. Furthermore, we find that the contribution from two-body currents is at the 2–3% level, with the exception of matrix elements entering the rates of 8Li, 8B, and 8He β decay. These matrix elements are suppressed in impulse approximation based on the (leading order) Gamow Teller transition operator alone; two-body currents provide a 20–30% correction, which is, however, insufficient to bring theory in agreement with experimental data. For the other transitions, the agreement with the data is satisfactory, and the results exhibit a negligible to mild model dependence when different combinations of Norfolk interactions are utilized to construct the nuclear wave functions. We report a complete study of two-body weak transition densities which reveals the expected universal behavior of two-body currents at short distances throughout the range of A=3 to A=10 systems considered here.},

  doi          = {10.1103/physrevc.102.025501},

  journal      = {Physical Review. C},

  number       = 2,

  volume       = 102,

  place        = {United States},

  year         = {Thu Aug 20 00:00:00 EDT 2020},

  month        = {Thu Aug 20 00:00:00 EDT 2020}

}

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Nuclei are used for high-precision tests of the Standard Model and for studies of physics beyond the Standard Model. Without a thorough understanding of nuclei, we will not be able to meaningfully interpret the growing body of experimental data nor will we be able to disentangle new physics signals from underlying nuclear effects. This calls for accurate calculations of nuclear structure and reactions. In this work, we focus on electroweak decays in nuclei with mass number A ≤ 10 and report on ab initio Quantum Monte Carlo calculations of reduced matrix elements entering beta decays and electron captures in nucleimore »« less
https://doi.org/10.3389/fphy.2020.00363

Full Text Available
Weak Transitions in A=6 and 7 Nuclei

Journal Article Schiavilla, R ; Wiringa, R B

The {sup 6}He beta decay and {sup 7}Be electron capture processes are studied using variational Monte Carlo wave functions, derived from a realistic Hamiltonian consisting of the Argonne upsilon{sub 18} two-nucleon and Urbana-IX three-nucleon interactions. The model for the nuclear weak axial current includes one- and two-body operators with the strength of the leading two-body term - associated with Delta-isobar excitation of the nucleon -- adjusted to reproduce the Gamow-Teller matrix element in tritium Beta-decay. The measured half-life of {sup 6}He is under-predicted by theory by {approx_equal}8%, while that of {sup 7}Be for decay into the ground and first excitedmore »« less
Full Text Available
Weak Transitions in A=6 and 7 Nuclei

Journal Article R. Schiavilla, R.B. Wiringa - Phys. Rev. C 65, 054302 (2002) (Print Issue of May 2002)

The {sup 6}He beta decay and {sup 7}Be electron capture processes are studied using variational Monte Carlo wave functions, derived from a realistic Hamiltonian consisting of the Argonne upsilon{sub 18} two-nucleon and Urbana-IX three-nucleon interactions. The model for the nuclear weak axial current includes one- and two-body operators with the strength of the leading two-body term - associated with Delta-isobar excitation of the nucleon -- adjusted to reproduce the Gamow-Teller matrix element in tritium Beta-decay. The measured half-life of {sup 6}He is under-predicted by theory by {approx_equal} 8%, while that of {sup 7}Be for decay into the ground and firstmore »« less
Two-body weak currents in heavy nuclei

Journal Article Ney, E. M. ; Engel, J. ; Schunck, N. - Physical Review. C

In light and medium-mass nuclei, two-body weak currents from chiral effective field theory account for a significant portion of the phenomenological quenching of Gamow-Teller transition matrix elements. Here we examine the systematic effects of two-body axial currents on Gamow-Teller strength and β-decay rates in heavy nuclei within energy-density functional theory. Using a Skyrme functional and the charge-changing finite amplitude method, we add the contributions of two-body currents to the usual one-body linear response in the Gamow-Teller channel, both exactly and though a densitymatrix expansion. The two-body currents, as expected, usually quench both summed Gamow-Teller strength and decay rates, but bymore »« less
https://doi.org/10.1103/physrevc.105.034349

Full Text Available
Proton-Proton Weak Capture in Chiral Effective Field Theory

Journal Article Marcucci, Laura Elisa ; Schiavilla, Rocco ; Viviani, MIchele - Phys. Rev. Lett.

The astrophysicalmore »« less
https://doi.org/10.1103/PhysRevLett.110.192503

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Title: Chiral effective field theory calculations of weak transitions in light nuclei

Abstract

Citation Formats

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

Femtometer toroidal structures in nuclei journal, August 1996

Accurate nucleon-nucleon potential with charge-independence breaking journal, January 1995

Erratum: Nuclear axial currents in chiral effective field theory [Phys. Rev. C 93 , 015501 (2016)] journal, May 2017

Local chiral interactions and magnetic structure of few-nucleon systems journal, March 2019

Erratum: Tritium β decay in chiral effective field theory [Phys. Rev. C 94 , 024003 (2016)] journal, May 2017

Gamow-Teller transitions and magnetic properties of nuclei and shell evolution journal, April 2003

Local Nucleon-Nucleon and Three-Nucleon Interactions Within Chiral Effective Field Theory journal, January 2020

Pair counting, pion-exchange forces and the structure of light nuclei journal, March 2006

Energy levels of light nuclei A=5, 6, 7 journal, September 2002

Chiral Effective Field Theory Predictions for Muon Capture on Deuteron and He 3 journal, January 2012

The Ame2003 atomic mass evaluation journal, December 2003

Light-Nuclei Spectra from Chiral Dynamics journal, February 2018

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

Thermal Neutron Captures on d and He 3 journal, November 2010

Few-nucleon forces from chiral Lagrangians journal, June 1994

Quantum Monte Carlo calculations of A = 8 nuclei journal, June 2000

Local chiral interactions, the tritium Gamow-Teller matrix element, and the three-nucleon contact term journal, October 2018

Neutrinoless double- β decay matrix elements in light nuclei journal, January 2018

Chiral dynamics and heavy-fermion formalism in nuclei: exchange axial currents journal, October 1993

Electromagnetic reactions on light nuclei journal, November 2014

How Low-Energy Weak Reactions Can Constrain Three-Nucleon Forces and the Neutron-Neutron Scattering Length journal, June 2006

Review of Particle Physics journal, August 2018

Quantum Monte Carlo calculations of light nuclei with local chiral two- and three-nucleon interactions journal, November 2017

New physics searches in nuclear and neutron β decay journal, January 2019

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

Local chiral potentials with Δ -intermediate states and the structure of light nuclei journal, November 2016

Properties of the nuclear medium journal, January 2012

Quantum Monte Carlo calculations of electromagnetic moments and transitions in A ≤ 9 nuclei with meson-exchange currents derived from chiral effective field theory journal, March 2013

Electromagnetic currents and magnetic moments in chiral effective field theory ( χ EFT ) journal, September 2009

Quantum Monte Carlo calculations of weak transitions in A = 6 – 10 nuclei journal, February 2018

Two-nucleon electromagnetic charge operator in chiral effective field theory ( χ EFT) up to one loop journal, August 2011

Variations on a theme of nuclear matter journal, October 1979

Equation of State Calculations by Fast Computing Machines journal, June 1953

The hypernetted-chain approximation for a fermion system journal, February 1975

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

Quasielastic lepton scattering and back-to-back nucleons in the short-time approximation journal, April 2020

R -matrix analysis of the β ∓ -delayed alpha spectra from the decay of Li 8 and B 8 journal, January 1986

Statistical error analysis for phenomenological nucleon-nucleon potentials journal, June 2014

Elements of the Brueckner-Goldstone Theory of Nuclear Matter journal, October 1967

Minimally nonlocal nucleon-nucleon potentials with chiral two-pion exchange including Δ resonances journal, February 2015

Nuclear axial currents in chiral effective field theory journal, January 2016

Chiral Three-Nucleon Interactions in Light Nuclei, Neutron- α Scattering, and Neutron Matter journal, February 2016

A quantum Monte Carlo method for nucleon systems journal, January 1999

Atomic Nuclei From Quantum Monte Carlo Calculations With Chiral EFT Interactions journal, April 2020

Equation of state of dense nuclear matter and neutron star structure from nuclear chiral interactions journal, January 2018

Erratum: Chiral Effective Field Theory Predictions for Muon Capture on Deuteron and He 3 [Phys. Rev. Lett. 108 , 052502 (2012)] journal, July 2018

Comparison between variational Monte Carlo and shell model calculations of neutrinoless double beta decay matrix elements in light nuclei journal, November 2019

Nuclear axial current operators to fourth order in chiral effective field theory journal, March 2017

Pion-nucleon coupling constant journal, February 1993

Two-nucleon electromagnetic current in chiral effective field theory: One-pion exchange and short-range contributions journal, November 2011

Electromagnetic Transition from the 4 + to 2 + Resonance in Be 8 Measured via the Radiative Capture in He 4 + He 4 journal, August 2013

Erratum: Three-Nucleon Low-Energy Constants from the Consistency of Interactions and Currents in Chiral Effective Field Theory [Phys. Rev. Lett. 103 , 102502 (2009)] journal, January 2019

Quantum Monte Carlo Methods in Nuclear Physics: Recent Advances journal, October 2019

Electromagnetic structure of few-nucleon ground states journal, January 2016

Superallowed 0 + → 0 + nuclear β decays: 2014 critical survey, with precise results for V u d and CKM unitarity journal, February 2015

Quantum Monte Carlo calculations of electroweak transition matrix elements in A = 6 , 7 nuclei journal, December 2007

Erratum: Coarse-grained potential analysis of neutron-proton and proton-proton scattering below the pion production threshold [Phys. Rev. C 88 , 064002 (2013)] journal, February 2015

Variational calculations of few-body nuclei journal, April 1991

Radiative α -capture cross sections from realistic nucleon-nucleon interactions and variational Monte Carlo wave functions journal, April 2001

Three-Nucleon Low-Energy Constants from the Consistency of Interactions and Currents in Chiral Effective Field Theory journal, September 2009

Three-nucleon forces from chiral effective field theory journal, December 2002

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

Energy levels of light nuclei journal, December 2004

The Nuclear Science References (NSR) database and Web Retrieval System journal, June 2011

Precision measurement of the 6 He half-life and the weak axial current in nuclei journal, September 2012

Nucleon resonance in nuclei journal, December 1976

Six-body calculation of the α -deuteron radiative capture cross section journal, January 2001

Electromagnetic structure of A = 2 and 3 nuclei in chiral effective field theory journal, January 2013

Tritium β decay in chiral effective field theory journal, August 2016

The Illinois Extension to the Fujita-Miyazawa Three-Nucleon Force conference, January 2008

Pion-nucleon partial-wave analysis with fixed- t dispersion relation constraints journal, May 1994

Coarse-grained potential analysis of neutron-proton and proton-proton scattering below the pion production threshold journal, December 2013

Quantum Monte Carlo calculations of electromagnetic transitions in Be 8 with meson-exchange currents derived from chiral effective field theory journal, August 2014

Gamow-Teller beta-decay rates for A ≤18 nuclei journal, January 1993

Quantum Monte Carlo calculations of neutron matter with chiral three-body forces journal, February 2016

Quantum Monte Carlo methods for nuclear physics journal, September 2015

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

Femtometer toroidal structures in nuclei
journal, August 1996

Accurate nucleon-nucleon potential with charge-independence breaking
journal, January 1995

Erratum: Nuclear axial currents in chiral effective field theory [Phys. Rev. C 93 , 015501 (2016)]
journal, May 2017

Local chiral interactions and magnetic structure of few-nucleon systems
journal, March 2019

Erratum: Tritium $β$ decay in chiral effective field theory [Phys. Rev. C 94 , 024003 (2016)]
journal, May 2017

Gamow-Teller transitions and magnetic properties of nuclei and shell evolution
journal, April 2003

Local Nucleon-Nucleon and Three-Nucleon Interactions Within Chiral Effective Field Theory
journal, January 2020

Pair counting, pion-exchange forces and the structure of light nuclei
journal, March 2006

Energy levels of light nuclei A=5, 6, 7
journal, September 2002

Chiral Effective Field Theory Predictions for Muon Capture on Deuteron and ${}^{3}{He}$
journal, January 2012

The Ame2003 atomic mass evaluation
journal, December 2003

Light-Nuclei Spectra from Chiral Dynamics
journal, February 2018

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

Thermal Neutron Captures on $d$ and ${}^{3}{He}$
journal, November 2010

Few-nucleon forces from chiral Lagrangians
journal, June 1994

Quantum Monte Carlo calculations of $A = 8$ nuclei
journal, June 2000

Local chiral interactions, the tritium Gamow-Teller matrix element, and the three-nucleon contact term
journal, October 2018

Neutrinoless double- $β$ decay matrix elements in light nuclei
journal, January 2018

Chiral dynamics and heavy-fermion formalism in nuclei: exchange axial currents
journal, October 1993

Electromagnetic reactions on light nuclei
journal, November 2014

How Low-Energy Weak Reactions Can Constrain Three-Nucleon Forces and the Neutron-Neutron Scattering Length
journal, June 2006

Review of Particle Physics
journal, August 2018

Quantum Monte Carlo calculations of light nuclei with local chiral two- and three-nucleon interactions
journal, November 2017

New physics searches in nuclear and neutron $β$ decay
journal, January 2019

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

Local chiral potentials with $Δ$ -intermediate states and the structure of light nuclei
journal, November 2016

Properties of the nuclear medium
journal, January 2012

Quantum Monte Carlo calculations of electromagnetic moments and transitions in $A \leq 9$ nuclei with meson-exchange currents derived from chiral effective field theory
journal, March 2013

Electromagnetic currents and magnetic moments in chiral effective field theory $(χ EFT)$
journal, September 2009

Quantum Monte Carlo calculations of weak transitions in $A = 6 - 10$ nuclei
journal, February 2018

Two-nucleon electromagnetic charge operator in chiral effective field theory ( $χ$ EFT) up to one loop
journal, August 2011

Variations on a theme of nuclear matter
journal, October 1979

Equation of State Calculations by Fast Computing Machines
journal, June 1953

The hypernetted-chain approximation for a fermion system
journal, February 1975

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

Quasielastic lepton scattering and back-to-back nucleons in the short-time approximation
journal, April 2020

R -matrix analysis of the $β^{\mp}$ -delayed alpha spectra from the decay of ${}^{8}{Li}$ and ${}^{8}B$
journal, January 1986

Statistical error analysis for phenomenological nucleon-nucleon potentials
journal, June 2014

Elements of the Brueckner-Goldstone Theory of Nuclear Matter
journal, October 1967

Minimally nonlocal nucleon-nucleon potentials with chiral two-pion exchange including $Δ$ resonances
journal, February 2015

Nuclear axial currents in chiral effective field theory
journal, January 2016

Chiral Three-Nucleon Interactions in Light Nuclei, Neutron- $α$ Scattering, and Neutron Matter
journal, February 2016

A quantum Monte Carlo method for nucleon systems
journal, January 1999

Atomic Nuclei From Quantum Monte Carlo Calculations With Chiral EFT Interactions
journal, April 2020

Equation of state of dense nuclear matter and neutron star structure from nuclear chiral interactions
journal, January 2018

Erratum: Chiral Effective Field Theory Predictions for Muon Capture on Deuteron and ${}^{3}{He}$ [Phys. Rev. Lett. 108 , 052502 (2012)]
journal, July 2018

Comparison between variational Monte Carlo and shell model calculations of neutrinoless double beta decay matrix elements in light nuclei
journal, November 2019

Nuclear axial current operators to fourth order in chiral effective field theory
journal, March 2017

Pion-nucleon coupling constant
journal, February 1993

Two-nucleon electromagnetic current in chiral effective field theory: One-pion exchange and short-range contributions
journal, November 2011

Electromagnetic Transition from the $4^{+}$ to $2^{+}$ Resonance in ${}^{8}{Be}$ Measured via the Radiative Capture in ${}^{4}{He} + {}^{4}{He}$
journal, August 2013

Erratum: Three-Nucleon Low-Energy Constants from the Consistency of Interactions and Currents in Chiral Effective Field Theory [Phys. Rev. Lett. 103 , 102502 (2009)]
journal, January 2019

Quantum Monte Carlo Methods in Nuclear Physics: Recent Advances
journal, October 2019

Electromagnetic structure of few-nucleon ground states
journal, January 2016

Superallowed $0^{+} \to 0^{+}$ nuclear $β$ decays: 2014 critical survey, with precise results for $V_{u d}$ and CKM unitarity
journal, February 2015

Quantum Monte Carlo calculations of electroweak transition matrix elements in $A = 6, 7$ nuclei
journal, December 2007

Erratum: Coarse-grained potential analysis of neutron-proton and proton-proton scattering below the pion production threshold [Phys. Rev. C 88 , 064002 (2013)]
journal, February 2015

Variational calculations of few-body nuclei
journal, April 1991

Radiative α -capture cross sections from realistic nucleon-nucleon interactions and variational Monte Carlo wave functions
journal, April 2001

Three-Nucleon Low-Energy Constants from the Consistency of Interactions and Currents in Chiral Effective Field Theory
journal, September 2009

Three-nucleon forces from chiral effective field theory
journal, December 2002

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

Energy levels of light nuclei
journal, December 2004

The Nuclear Science References (NSR) database and Web Retrieval System
journal, June 2011

Precision measurement of the $^{6}$ He half-life and the weak axial current in nuclei
journal, September 2012

Nucleon resonance in nuclei
journal, December 1976

Six-body calculation of the $α$ -deuteron radiative capture cross section
journal, January 2001

Electromagnetic structure of $A = 2$ and 3 nuclei in chiral effective field theory
journal, January 2013

Tritium $β$ decay in chiral effective field theory
journal, August 2016

The Illinois Extension to the Fujita-Miyazawa Three-Nucleon Force
conference, January 2008

Pion-nucleon partial-wave analysis with fixed- t dispersion relation constraints
journal, May 1994

Coarse-grained potential analysis of neutron-proton and proton-proton scattering below the pion production threshold
journal, December 2013

Quantum Monte Carlo calculations of electromagnetic transitions in ${}^{8}{Be}$ with meson-exchange currents derived from chiral effective field theory
journal, August 2014

Gamow-Teller beta-decay rates for A ≤18 nuclei
journal, January 1993

Quantum Monte Carlo calculations of neutron matter with chiral three-body forces
journal, February 2016

Quantum Monte Carlo methods for nuclear physics
journal, September 2015

Coarse-grained NN potential with chiral two-pion exchange
journal, February 2014

Benchmark calculations of pure neutron matter with realistic nucleon-nucleon interactions
journal, April 2020

Nuclear forces with Δ excitations up to next-to-next-to-leading order, part I: Peripheral nucleon-nucleon waves
journal, May 2007