Quantum Monte Carlo calculations of weak transitions in $A=6\u201310$ nuclei
Abstract
Ab initio calculations of the GamowTeller (GT) matrix elements in the beta decays of He6 and C10 and electron captures in Be7 are carried out using both variational and Green's function Monte Carlo wave functions obtained from the Argonne v(18) twonucleon and Illinois7 threenucleon interactions, and axialmanybody currents derived from either mesonexchange phenomenology or chiral effective field theory. The agreement with experimental data is excellent for the electron captures in Be7, while theory overestimates the He6 and C10 data by similar to 2% and similar to 10%, respectively. We show that for these systems correlations in the nuclear wave functions are crucial to explaining the data, while manybody currents increase by similar to 23% the onebody GT contributions.
 Authors:

 Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
 Old Dominion Univ., Norfolk, VA (United States); Univ. of South Carolina, Columbia, SC (United States)
 Argonne National Lab. (ANL), Argonne, IL (United States)
 Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); Old Dominion Univ., Norfolk, VA (United States)
 Publication Date:
 Research Org.:
 Argonne National Lab. (ANL), Argonne, IL (United States); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC); Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
 Sponsoring Org.:
 USDOE Office of Science (SC), Nuclear Physics (NP); USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR); USDOE Laboratory Directed Research and Development (LDRD) Program
 OSTI Identifier:
 1423779
 Alternate Identifier(s):
 OSTI ID: 1422644; OSTI ID: 1426718; OSTI ID: 1438111
 Report Number(s):
 JLABTHY172538; DOE/OR/231774202; arXiv:1709.03592; LAUR1728128
Journal ID: ISSN 24699985; PRVCAN; TRN: US1801839
 Grant/Contract Number:
 SC0010300; AC0506OR23177; AC0206CH11357; AC5206NA25396; AC0205CH11231
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Physical Review C
 Additional Journal Information:
 Journal Volume: 97; Journal Issue: 2; Journal ID: ISSN 24699985
 Publisher:
 American Physical Society (APS)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; Atomic and Nuclear Physics
Citation Formats
Pastore, S., Baroni, A., Carlson, J., Gandolfi, S., Pieper, Steven C., Schiavilla, R., and Wiringa, R. B. Quantum Monte Carlo calculations of weak transitions in A=6–10 nuclei. United States: N. p., 2018.
Web. doi:10.1103/PhysRevC.97.022501.
Pastore, S., Baroni, A., Carlson, J., Gandolfi, S., Pieper, Steven C., Schiavilla, R., & Wiringa, R. B. Quantum Monte Carlo calculations of weak transitions in A=6–10 nuclei. United States. doi:10.1103/PhysRevC.97.022501.
Pastore, S., Baroni, A., Carlson, J., Gandolfi, S., Pieper, Steven C., Schiavilla, R., and Wiringa, R. B. Mon .
"Quantum Monte Carlo calculations of weak transitions in A=6–10 nuclei". United States. doi:10.1103/PhysRevC.97.022501. https://www.osti.gov/servlets/purl/1423779.
@article{osti_1423779,
title = {Quantum Monte Carlo calculations of weak transitions in A=6–10 nuclei},
author = {Pastore, S. and Baroni, A. and Carlson, J. and Gandolfi, S. and Pieper, Steven C. and Schiavilla, R. and Wiringa, R. B.},
abstractNote = {Ab initio calculations of the GamowTeller (GT) matrix elements in the beta decays of He6 and C10 and electron captures in Be7 are carried out using both variational and Green's function Monte Carlo wave functions obtained from the Argonne v(18) twonucleon and Illinois7 threenucleon interactions, and axialmanybody currents derived from either mesonexchange phenomenology or chiral effective field theory. The agreement with experimental data is excellent for the electron captures in Be7, while theory overestimates the He6 and C10 data by similar to 2% and similar to 10%, respectively. We show that for these systems correlations in the nuclear wave functions are crucial to explaining the data, while manybody currents increase by similar to 23% the onebody GT contributions.},
doi = {10.1103/PhysRevC.97.022501},
journal = {Physical Review C},
number = 2,
volume = 97,
place = {United States},
year = {2018},
month = {2}
}
Web of Science
Figures / Tables:
Works referenced in this record:
Structure of $A=10\u201313$ Nuclei with Two Plus ThreeNucleon Interactions from Chiral Effective Field Theory
journal, July 2007
 Navrátil, P.; Gueorguiev, V. G.; Vary, J. P.
 Physical Review Letters, Vol. 99, Issue 4
Electromagnetic and weak transitions in the sevennucleon systems
journal, July 1983
 Walliser, H.; Liu, Q. K. K.; Kanada, H.
 Physical Review C, Vol. 28, Issue 1
Matching PionNucleon RoySteiner Equations to Chiral Perturbation Theory
journal, November 2015
 Hoferichter, Martin; Ruiz de Elvira, Jacobo; Kubis, Bastian
 Physical Review Letters, Vol. 115, Issue 19
Accurate nucleonnucleon potential with chargeindependence breaking
journal, January 1995
 Wiringa, R. B.; Stoks, V. G. J.; Schiavilla, R.
 Physical Review C, Vol. 51, Issue 1
${}^{6}\mathrm{He}\hspace{0.5em}\beta $ decay rate and the suppression of the axial constant in nuclear matter
journal, June 2009
 Vaintraub, Sergey; Barnea, Nir; Gazit, Doron
 Physical Review C, Vol. 79, Issue 6
Tensor Forces and the GroundState Structure of Nuclei
journal, March 2007
 Schiavilla, R.; Wiringa, R. B.; Pieper, Steven C.
 Physical Review Letters, Vol. 98, Issue 13
Erratum: Nuclear axial currents in chiral effective field theory [Phys. Rev. C 93 , 015501 (2016)]
journal, May 2017
 Baroni, A.; Girlanda, L.; Pastore, S.
 Physical Review C, Vol. 95, Issue 5
Erratum: Tritium $\beta $ decay in chiral effective field theory [Phys. Rev. C 94 , 024003 (2016)]
journal, May 2017
 Baroni, A.; Girlanda, L.; Kievsky, A.
 Physical Review C, Vol. 95, Issue 5
Axial Currents in Nuclei
journal, March 1978
 Kubodera, Kuniharu; Delorme, Jean; Rho, Mannque
 Physical Review Letters, Vol. 40, Issue 12
Exchange currents from chiral Lagrangians
journal, March 1991
 Rho, Mannque
 Physical Review Letters, Vol. 66, Issue 10
LightNuclei Spectra from Chiral Dynamics
journal, February 2018
 Piarulli, M.; Baroni, A.; Girlanda, L.
 Physical Review Letters, Vol. 120, Issue 5
Status and future of nuclear matrix elements for neutrinoless doublebeta decay: a review
journal, March 2017
 Engel, Jonathan; Menéndez, Javier
 Reports on Progress in Physics, Vol. 80, Issue 4
Weak transitions in $A=6\mathrm{}$ and 7 nuclei
journal, April 2002
 Schiavilla, R.; Wiringa, R. B.
 Physical Review C, Vol. 65, Issue 5
Effects of ThreeNucleon Forces and TwoBody Currents on GamowTeller Strengths
journal, December 2014
 Ekström, A.; Jansen, G. R.; Wendt, K. A.
 Physical Review Letters, Vol. 113, Issue 26
Beta Decay of Carbon 10 and the Cluster Model
journal, November 1963
 Bartis, Francis J.
 Physical Review, Vol. 132, Issue 4
Electromagnetic reactions on light nuclei
journal, November 2014
 Bacca, Sonia; Pastore, Saori
 Journal of Physics G: Nuclear and Particle Physics, Vol. 41, Issue 12
Chiral dynamics and heavyfermion formalism in nuclei: exchange axial currents
journal, October 1993
 Park, TaeSun; Min, DongPil; Rho, Mannque
 Physics Reports, Vol. 233, Issue 6
Local chiral potentials with $\mathrm{\Delta}$ intermediate states and the structure of light nuclei
journal, November 2016
 Piarulli, M.; Girlanda, L.; Schiavilla, R.
 Physical Review C, Vol. 94, Issue 5
Quantum Monte Carlo calculations of electromagnetic moments and transitions in $A\le 9$ nuclei with mesonexchange currents derived from chiral effective field theory
journal, March 2013
 Pastore, S.; Pieper, Steven C.; Schiavilla, R.
 Physical Review C, Vol. 87, Issue 3
Twonucleon electromagnetic charge operator in chiral effective field theory ( $\chi $ EFT) up to one loop
journal, August 2011
 Pastore, S.; Girlanda, L.; Schiavilla, R.
 Physical Review C, Vol. 84, Issue 2
Overlap and Exchange Effects in Beta Decay
journal, March 1963
 Bahcall, John N.
 Physical Review, Vol. 129, Issue 6
Effective chiral lagrangians for nucleonpion interactions and nuclear forces
journal, September 1991
 Weinberg, Steven
 Nuclear Physics B, Vol. 363, Issue 1
Chiral Lagrangian approach to exchange vector currents in nuclei
journal, January 1996
 Park, TaeSun; Min, DongPil; Rho, Mannque
 Nuclear Physics A, Vol. 596, Issue 34
The Chiral Effective PionNucleon Lagrangian of Order p4
journal, August 2000
 Fettes, Nadia; Meißner, UlfG.; Mojžiš, Martin
 Annals of Physics, Vol. 283, Issue 2
Nucleon and nucleonpair momentum distributions in $A\le 12$ nuclei
journal, February 2014
 Wiringa, R. B.; Schiavilla, R.; Pieper, Steven C.
 Physical Review C, Vol. 89, Issue 2
Minimally nonlocal nucleonnucleon potentials with chiral twopion exchange including $\Delta $ resonances
journal, February 2015
 Piarulli, M.; Girlanda, L.; Schiavilla, R.
 Physical Review C, Vol. 91, Issue 2
Threebody interactions among nucleons and pions
journal, November 1992
 Weinberg, Steven
 Physics Letters B, Vol. 295, Issue 12
The Chiral Effective Pion–Nucleon Lagrangian of Order p4
journal, February 2001
 Fettes, Nadia; Meiβner, UlfG.; Mojžiš, Martin
 Annals of Physics, Vol. 288, Issue 1
Nuclear axial currents in chiral effective field theory
journal, January 2016
 Baroni, A.; Girlanda, L.; Pastore, S.
 Physical Review C, Vol. 93, Issue 1
Nuclear forces from chiral lagrangians
journal, November 1990
 Weinberg, Steven
 Physics Letters B, Vol. 251, Issue 2
Chiral effective field theory and nuclear forces
journal, June 2011
 Machleidt, R.; Entem, D. R.
 Physics Reports, Vol. 503, Issue 1
Solar neutrino experiments
journal, October 1978
 Bahcall, John N.
 Reviews of Modern Physics, Vol. 50, Issue 4
Nuclear axial current operators to fourth order in chiral effective field theory
journal, March 2017
 Krebs, H.; Epelbaum, E.; Meißner, U. G.
 Annals of Physics, Vol. 378
Twonucleon electromagnetic current in chiral effective field theory: Onepion exchange and shortrange contributions
journal, November 2011
 Kölling, S.; Epelbaum, E.; Krebs, H.
 Physical Review C, Vol. 84, Issue 5
Structure and dynamics of fewnucleon systems
journal, July 1998
 Carlson, J.; Schiavilla, R.
 Reviews of Modern Physics, Vol. 70, Issue 3
Electromagnetic structure of fewnucleon ground states
journal, January 2016
 Marcucci, L. E.; Gross, F.; Peña, M. T.
 Journal of Physics G: Nuclear and Particle Physics, Vol. 43, Issue 2
Superallowed ${0}^{+}\to {0}^{+}$ nuclear $\beta $ decays: 2014 critical survey, with precise results for ${V}_{ud}$ and CKM unitarity
journal, February 2015
 Hardy, J. C.; Towner, I. S.
 Physical Review C, Vol. 91, Issue 2
Quantum Monte Carlo calculations of electroweak transition matrix elements in $A=6,7$ nuclei
journal, December 2007
 Pervin, Muslema; Pieper, Steven C.; Wiringa, R. B.
 Physical Review C, Vol. 76, Issue 6
Solar fusion cross sections. II. The $pp$ chain and CNO cycles
journal, April 2011
 Adelberger, E. G.; García, A.; Robertson, R. G. Hamish
 Reviews of Modern Physics, Vol. 83, Issue 1
Precision measurement of the ${}^{6}$ He halflife and the weak axial current in nuclei
journal, September 2012
 Knecht, A.; Hong, R.; Zumwalt, D. W.
 Physical Review C, Vol. 86, Issue 3
Inclusive neutrino scattering off the deuteron from threshold to GeV energies
journal, September 2012
 Shen, G.; Marcucci, L. E.; Carlson, J.
 Physical Review C, Vol. 86, Issue 3
Parameterfree effective field theory calculation for the solar protonfusion and hep processes
journal, May 2003
 Park, T. S.; Marcucci, L. E.; Schiavilla, R.
 Physical Review C, Vol. 67, Issue 5
Tritium $\beta $ decay in chiral effective field theory
journal, August 2016
 Baroni, A.; Girlanda, L.; Kievsky, A.
 Physical Review C, Vol. 94, Issue 2
The Illinois Extension to the FujitaMiyazawa ThreeNucleon Force
conference, January 2008
 Pieper, Steven C.; Sakai, Hideyuki; Sekiguchi, Kimiko
 POLARIZED ANTIPROTON BEAMS  HOW: An International Workshop, AIP Conference Proceedings
GamowTeller betadecay rates for A ≤18 nuclei
journal, January 1993
 Chou, W. T.; Warburton, E. K.; Brown, B. A.
 Physical Review C, Vol. 47, Issue 1
Quantum Monte Carlo Calculations of $\mathit{A}\le 6$ Nuclei
journal, May 1995
 Pudliner, B. S.; Pandharipande, V. R.; Carlson, J.
 Physical Review Letters, Vol. 74, Issue 22
6He βdecay from a threebody model of the A=6 system
journal, April 1978
 Parke, W. C.; Ghovanlou, A.; Noguchi, C. T.
 Physics Letters B, Vol. 74, Issue 3
Quantum Monte Carlo methods for nuclear physics
journal, September 2015
 Carlson, J.; Gandolfi, S.; Pederiva, F.
 Reviews of Modern Physics, Vol. 87, Issue 3
Ab initio shell model with a genuine threenucleon force for the p shell nuclei
journal, September 2003
 Navrátil, Petr; Ormand, W. Erich
 Physical Review C, Vol. 68, Issue 3
Erratum: Nuclear axial currents in chiral effective field theory [Phys. Rev. C 93 , 015501 (2016)]
journal, April 2016
 Baroni, A.; Girlanda, L.; Pastore, S.
 Physical Review C, Vol. 93, Issue 4
Twopion exchange electromagnetic current in chiral effective field theory using the method of unitary transformation
journal, October 2009
 Kölling, S.; Epelbaum, E.; Krebs, H.
 Physical Review C, Vol. 80, Issue 4
Modern theories of lowenergy astrophysical reactions
journal, October 2006
 Marcucci, L. E.; Nollett, Kenneth M.; Schiavilla, R.
 Nuclear Physics A, Vol. 777
Works referencing / citing this record:
Local chiral interactions, the tritium GamowTeller matrix element, and the threenucleon contact term
journal, October 2018
 Baroni, A.; Schiavilla, R.; Marcucci, L. E.
 Physical Review C, Vol. 98, Issue 4
Discrepancy between experimental and theoretical βdecay rates resolved from first principles
journal, March 2019
 Gysbers, P.; Hagen, G.; Holt, J. D.
 Nature Physics, Vol. 15, Issue 5
Lowenergy neutrino scattering in experiment and astrophysics
journal, July 2019
 Jachowicz, N.; Dessel, N. Van; Nikolakopoulos, A.
 Journal of Physics G: Nuclear and Particle Physics, Vol. 46, Issue 8
Muon capture in nuclei: An ab initio approach based on Green's function Monte Carlo methods
journal, September 2019
 Lovato, A.; Rocco, N.; Schiavilla, R.
 Physical Review C, Vol. 100, Issue 3
Renormalized approach to neutrinoless double β decay
journal, November 2019
 Cirigliano, V.; Dekens, W.; de Vries, J.
 Physical Review C, Vol. 100, Issue 5
Coherent elastic neutrinonucleus scattering on Ar 40 from first principles
journal, December 2019
 Payne, C. G.; Bacca, S.; Hagen, G.
 Physical Review C, Vol. 100, Issue 6
Quantum Monte Carlo calculation of neutralcurrent $\nu {}^{12}\mathrm{C}$ inclusive quasielastic scattering
journal, February 2018
 Lovato, A.; Gandolfi, S.; Carlson, J.
 Physical Review C, Vol. 97, Issue 2
Nonquenching of ${g}_{A}$ in nuclei, LandauMigdal fixedpoint theory, and emergence of scale symmetry in dense baryonic matter
journal, October 2018
 Li, YanLing; Ma, YongLiang; Rho, Mannque
 Physical Review C, Vol. 98, Issue 4
Scalar, Axial, and Tensor Interactions of Light Nuclei from Lattice QCD
journal, April 2018
 Chang, Emmanuel; Davoudi, Zohreh; Detmold, William
 Physical Review Letters, Vol. 120, Issue 15
Physics of Nuclei: Key Role of an Emergent Symmetry
journal, January 2020
 Dytrych, T.; Launey, K. D.; Draayer, J. P.
 Physical Review Letters, Vol. 124, Issue 4
Lattice QCD and neutrinonucleus scattering
journal, November 2019
 Kronfeld, Andreas S.; Richards, David G.; Detmold, William
 The European Physical Journal A, Vol. 55, Issue 11
Local NucleonNucleon and ThreeNucleon Interactions Within Chiral Effective Field Theory
journal, January 2020
 Piarulli, Maria; Tews, Ingo
 Frontiers in Physics, Vol. 7
Figures / Tables found in this record: