Quantum Monte Carlo calculations of weak transitions in A=6–10 nuclei

Pastore, S.; Baroni, A.; Carlson, J.; Gandolfi, S.; Pieper, Steven C.; Schiavilla, R.; Wiringa, R. B.

doi:10.1103/PhysRevC.97.022501

Title: Quantum Monte Carlo calculations of weak transitions in $A = 6 - 10$ nuclei

Journal Article · 26 February 2018 · Physical Review C

DOI: https://doi.org/10.1103/PhysRevC.97.022501 · OSTI ID:1423779

Pastore, S. ^[1]; Baroni, A. ^[2]; Carlson, J. ^[1]; Gandolfi, S. ^[1]; Pieper, Steven C. ^[3]; Schiavilla, R. ^[4]; Wiringa, R. B. ^[3]

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)

{\it Ab initio} calculations of the Gamow-Teller (GT) matrix elements in the $$\beta$$ decays of $^6$He and $$^{10}$$C and electron captures in $^7$Be are carried out using both variational and Green's function Monte Carlo wave functions obtained from the Argonne $$v_{18}$$ two-nucleon and Illinois-7 three-nucleon interactions, and axial many-body currents derived from either meson-exchange phenomenology or chiral effective field theory. The agreement with experimental data is excellent for the electron captures in $^7$Be, while theory overestimates the $^6$He and $$^{10}$$C data by $$\sim 2\%$$ and $$\sim 10\%$$, respectively. We show that for these systems correlations in the nuclear wave functions are crucial to explain the data, while many-body currents increase by $$\sim 2$$--$$3\%$$ the one-body GT contributions. These findings suggest that the longstanding $$g_A$$-problem, {\it i.e.}, the systematic overprediction ($$\sim 20 \%$$ in $$A\le 18$$ nuclei) of GT matrix elements in shell-model calculations, may be resolved, at least partially, by correlation effects.

View Accepted Manuscript (DOE)

Cite

Export

Save

Research Organization:: Argonne National Laboratory (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 Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26); USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR) (SC-21)

Grant/Contract Number:: SC0010300; AC05-06OR23177; AC02-06CH11357; AC52-06NA25396; AC02-05CH11231

OSTI ID:: 1423779

Report Number(s):: JLAB--THY-17-2538; DOE/OR/23177-4202; arXiv:1709.03592

Journal Information:: Physical Review C, Journal Name: Physical Review C Journal Issue: 2 Vol. 97; ISSN 2469-9985; ISSN PRVCAN

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

References (53)

The Chiral Effective Pion-Nucleon Lagrangian of Order p4 Fettes, Nadia; Meißner, Ulf-G.; Mojžiš, Martin Annals of Physics, Vol. 283, Issue 2 https://doi.org/10.1006/aphy.2000.6059	journal	August 2000
The Chiral Effective Pion–Nucleon Lagrangian of Order p4 Fettes, Nadia; Meiβner, Ulf-G.; Mojžiš, Martin Annals of Physics, Vol. 288, Issue 1 https://doi.org/10.1006/aphy.2001.6134	journal	February 2001
Chiral dynamics and heavy-fermion formalism in nuclei: exchange axial currents Park, Tae-Sun; Min, Dong-Pil; Rho, Mannque Physics Reports, Vol. 233, Issue 6 https://doi.org/10.1016/0370-1573(93)90099-Y	journal	October 1993
6He β-decay from a three-body model of the A=6 system Parke, W. C.; Ghovanlou, A.; Noguchi, C. T. Physics Letters B, Vol. 74, Issue 3 https://doi.org/10.1016/0370-2693(78)90542-7	journal	April 1978
Nuclear forces from chiral lagrangians Weinberg, Steven Physics Letters B, Vol. 251, Issue 2 https://doi.org/10.1016/0370-2693(90)90938-3	journal	November 1990
Three-body interactions among nucleons and pions Weinberg, Steven Physics Letters B, Vol. 295, Issue 1-2 https://doi.org/10.1016/0370-2693(92)90099-P	journal	November 1992
Chiral Lagrangian approach to exchange vector currents in nuclei Park, Tae-Sun; Min, Dong-Pil; Rho, Mannque Nuclear Physics A, Vol. 596, Issue 3-4 https://doi.org/10.1016/0375-9474(95)00406-8	journal	January 1996
Effective chiral lagrangians for nucleon-pion interactions and nuclear forces Weinberg, Steven Nuclear Physics B, Vol. 363, Issue 1 https://doi.org/10.1016/0550-3213(91)90231-L	journal	September 1991
Nuclear axial current operators to fourth order in chiral effective field theory Krebs, H.; Epelbaum, E.; Meißner, U. -G. Annals of Physics, Vol. 378 https://doi.org/10.1016/j.aop.2017.01.021	journal	March 2017
Modern theories of low-energy astrophysical reactions Marcucci, L. E.; Nollett, Kenneth M.; Schiavilla, R. Nuclear Physics A, Vol. 777 https://doi.org/10.1016/j.nuclphysa.2004.09.008	journal	October 2006
Chiral effective field theory and nuclear forces Machleidt, R.; Entem, D. R. Physics Reports, Vol. 503, Issue 1 https://doi.org/10.1016/j.physrep.2011.02.001	journal	June 2011
The Illinois Extension to the Fujita-Miyazawa Three-Nucleon Force Pieper, Steven C.; Sakai, Hideyuki; Sekiguchi, Kimiko POLARIZED ANTIPROTON BEAMS - HOW: An International Workshop, AIP Conference Proceedings https://doi.org/10.1063/1.2932280	conference	January 2008
Electromagnetic reactions on light nuclei Bacca, Sonia; Pastore, Saori Journal of Physics G: Nuclear and Particle Physics, Vol. 41, Issue 12 https://doi.org/10.1088/0954-3899/41/12/123002	journal	November 2014
Electromagnetic structure of few-nucleon ground states Marcucci, L. E.; Gross, F.; Peña, M. T. Journal of Physics G: Nuclear and Particle Physics, Vol. 43, Issue 2 https://doi.org/10.1088/0954-3899/43/2/023002	journal	January 2016
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
Review of Particle Physics Olive, K. A. Chinese Physics C, Vol. 40, Issue 10 https://doi.org/10.1088/1674-1137/40/10/100001	journal	October 2016
Overlap and Exchange Effects in Beta Decay Bahcall, John N. Physical Review, Vol. 129, Issue 6 https://doi.org/10.1103/PhysRev.129.2683	journal	March 1963
Beta Decay of Carbon 10 and the Cluster Model Bartis, Francis J. Physical Review, Vol. 132, Issue 4 https://doi.org/10.1103/PhysRev.132.1763	journal	November 1963
Electromagnetic and weak transitions in the seven-nucleon systems Walliser, H.; Liu, Q. K. K.; Kanada, H. Physical Review C, Vol. 28, Issue 1 https://doi.org/10.1103/PhysRevC.28.57	journal	July 1983
Gamow-Teller beta-decay rates for A ≤18 nuclei Chou, W. -T.; Warburton, E. K.; Brown, B. A. Physical Review C, Vol. 47, Issue 1 https://doi.org/10.1103/PhysRevC.47.163	journal	January 1993
Accurate nucleon-nucleon potential with charge-independence breaking Wiringa, R. B.; Stoks, V. G. J.; Schiavilla, R. Physical Review C, Vol. 51, Issue 1 https://doi.org/10.1103/PhysRevC.51.38	journal	January 1995
Weak transitions in A = 6 and 7 nuclei Schiavilla, R.; Wiringa, R. B. Physical Review C, Vol. 65, Issue 5 https://doi.org/10.1103/PhysRevC.65.054302	journal	April 2002
Parameter-free effective field theory calculation for the solar proton-fusion and hep processes Park, T. -S.; Marcucci, L. E.; Schiavilla, R. Physical Review C, Vol. 67, Issue 5 https://doi.org/10.1103/PhysRevC.67.055206	journal	May 2003
Ab initio shell model with a genuine three-nucleon force for the p -shell nuclei Navrátil, Petr; Ormand, W. Erich Physical Review C, Vol. 68, Issue 3 https://doi.org/10.1103/PhysRevC.68.034305	journal	September 2003
Quantum Monte Carlo calculations of electroweak transition matrix elements in A = 6 , 7 nuclei Pervin, Muslema; Pieper, Steven C.; Wiringa, R. B. Physical Review C, Vol. 76, Issue 6 https://doi.org/10.1103/PhysRevC.76.064319	journal	December 2007
He 6 β -decay rate and the suppression of the axial constant in nuclear matter Vaintraub, Sergey; Barnea, Nir; Gazit, Doron Physical Review C, Vol. 79, Issue 6 https://doi.org/10.1103/PhysRevC.79.065501	journal	June 2009
Two-pion exchange electromagnetic current in chiral effective field theory using the method of unitary transformation Kölling, S.; Epelbaum, E.; Krebs, H. Physical Review C, Vol. 80, Issue 4 https://doi.org/10.1103/PhysRevC.80.045502	journal	October 2009
Two-nucleon electromagnetic charge operator in chiral effective field theory ( χ EFT) up to one loop Pastore, S.; Girlanda, L.; Schiavilla, R. Physical Review C, Vol. 84, Issue 2 https://doi.org/10.1103/PhysRevC.84.024001	journal	August 2011
Two-nucleon electromagnetic current in chiral effective field theory: One-pion exchange and short-range contributions Kölling, S.; Epelbaum, E.; Krebs, H. Physical Review C, Vol. 84, Issue 5 https://doi.org/10.1103/PhysRevC.84.054008	journal	November 2011
Inclusive neutrino scattering off the deuteron from threshold to GeV energies Shen, G.; Marcucci, L. E.; Carlson, J. Physical Review C, Vol. 86, Issue 3 https://doi.org/10.1103/PhysRevC.86.035503	journal	September 2012
Precision measurement of the 6 He half-life and the weak axial current in nuclei Knecht, A.; Hong, R.; Zumwalt, D. W. Physical Review C, Vol. 86, Issue 3 https://doi.org/10.1103/PhysRevC.86.035506	journal	September 2012
Quantum Monte Carlo calculations of electromagnetic moments and transitions in A ≤ 9 nuclei with meson-exchange currents derived from chiral effective field theory Pastore, S.; Pieper, Steven C.; Schiavilla, R. Physical Review C, Vol. 87, Issue 3 https://doi.org/10.1103/PhysRevC.87.035503	journal	March 2013
Nucleon and nucleon-pair momentum distributions in A ≤ 12 nuclei Wiringa, R. B.; Schiavilla, R.; Pieper, Steven C. Physical Review C, Vol. 89, Issue 2 https://doi.org/10.1103/PhysRevC.89.024305	journal	February 2014
Minimally nonlocal nucleon-nucleon potentials with chiral two-pion exchange including Δ resonances Piarulli, M.; Girlanda, L.; Schiavilla, R. Physical Review C, Vol. 91, Issue 2 https://doi.org/10.1103/PhysRevC.91.024003	journal	February 2015
Superallowed 0 + → 0 + nuclear β decays: 2014 critical survey, with precise results for V u d and CKM unitarity Hardy, J. C.; Towner, I. S. Physical Review C, Vol. 91, Issue 2 https://doi.org/10.1103/PhysRevC.91.025501	journal	February 2015
Nuclear axial currents in chiral effective field theory Baroni, A.; Girlanda, L.; Pastore, S. Physical Review C, Vol. 93, Issue 1 https://doi.org/10.1103/PhysRevC.93.015501	journal	January 2016
Erratum: Nuclear axial currents in chiral effective field theory [Phys. Rev. C 93 , 015501 (2016)] Baroni, A.; Girlanda, L.; Pastore, S. Physical Review C, Vol. 93, Issue 4 https://doi.org/10.1103/PhysRevC.93.049902	journal	April 2016
Tritium β decay in chiral effective field theory Baroni, A.; Girlanda, L.; Kievsky, A. Physical Review C, Vol. 94, Issue 2 https://doi.org/10.1103/PhysRevC.94.024003	journal	August 2016
Local chiral potentials with Δ -intermediate states and the structure of light nuclei Piarulli, M.; Girlanda, L.; Schiavilla, R. Physical Review C, Vol. 94, Issue 5 https://doi.org/10.1103/PhysRevC.94.054007	journal	November 2016
Erratum: Nuclear axial currents in chiral effective field theory [Phys. Rev. C 93 , 015501 (2016)] Baroni, A.; Girlanda, L.; Pastore, S. Physical Review C, Vol. 95, Issue 5 https://doi.org/10.1103/PhysRevC.95.059901	journal	May 2017
Erratum: Tritium β decay in chiral effective field theory [Phys. Rev. C 94 , 024003 (2016)] Baroni, A.; Girlanda, L.; Kievsky, A. Physical Review C, Vol. 95, Issue 5 https://doi.org/10.1103/PhysRevC.95.059902	journal	May 2017
Effects of Three-Nucleon Forces and Two-Body Currents on Gamow-Teller Strengths Ekström, A.; Jansen, G. R.; Wendt, K. A. Physical Review Letters, Vol. 113, Issue 26 https://doi.org/10.1103/PhysRevLett.113.262504	journal	December 2014
Matching Pion-Nucleon Roy-Steiner Equations to Chiral Perturbation Theory Hoferichter, Martin; Ruiz de Elvira, Jacobo; Kubis, Bastian Physical Review Letters, Vol. 115, Issue 19 https://doi.org/10.1103/PhysRevLett.115.192301	journal	November 2015
Light-Nuclei Spectra from Chiral Dynamics Piarulli, M.; Baroni, A.; Girlanda, L. Physical Review Letters, Vol. 120, Issue 5 https://doi.org/10.1103/PhysRevLett.120.052503	journal	February 2018
Axial Currents in Nuclei Kubodera, Kuniharu; Delorme, Jean; Rho, Mannque Physical Review Letters, Vol. 40, Issue 12 https://doi.org/10.1103/PhysRevLett.40.755	journal	March 1978
Exchange currents from chiral Lagrangians Rho, Mannque Physical Review Letters, Vol. 66, Issue 10 https://doi.org/10.1103/PhysRevLett.66.1275	journal	March 1991
Quantum Monte Carlo Calculations of A ≤ 6 Nuclei Pudliner, B. S.; Pandharipande, V. R.; Carlson, J. Physical Review Letters, Vol. 74, Issue 22 https://doi.org/10.1103/PhysRevLett.74.4396	journal	May 1995
Tensor Forces and the Ground-State Structure of Nuclei Schiavilla, R.; Wiringa, R. B.; Pieper, Steven C. Physical Review Letters, Vol. 98, Issue 13 https://doi.org/10.1103/PhysRevLett.98.132501	journal	March 2007
Structure of A = 10 – 13 Nuclei with Two- Plus Three-Nucleon Interactions from Chiral Effective Field Theory Navrátil, P.; Gueorguiev, V. G.; Vary, J. P. Physical Review Letters, Vol. 99, Issue 4 https://doi.org/10.1103/PhysRevLett.99.042501	journal	July 2007
Solar neutrino experiments Bahcall, John N. Reviews of Modern Physics, Vol. 50, Issue 4 https://doi.org/10.1103/RevModPhys.50.881	journal	October 1978
Structure and dynamics of few-nucleon systems Carlson, J.; Schiavilla, R. Reviews of Modern Physics, Vol. 70, Issue 3 https://doi.org/10.1103/RevModPhys.70.743	journal	July 1998
Solar fusion cross sections. II. The p p chain and CNO cycles Adelberger, E. G.; García, A.; Robertson, R. G. Hamish Reviews of Modern Physics, Vol. 83, Issue 1 https://doi.org/10.1103/RevModPhys.83.195	journal	April 2011
Quantum Monte Carlo methods for nuclear physics Carlson, J.; Gandolfi, S.; Pederiva, F. Reviews of Modern Physics, Vol. 87, Issue 3 https://doi.org/10.1103/RevModPhys.87.1067	journal	September 2015

Cited By (14)

Discrepancy between experimental and theoretical β-decay rates resolved from first principles Gysbers, P.; Hagen, G.; Holt, J. D. Nature Physics, Vol. 15, Issue 5 https://doi.org/10.1038/s41567-019-0450-7	journal	March 2019
Low-energy neutrino scattering in experiment and astrophysics Jachowicz, N.; Dessel, N. Van; Nikolakopoulos, A. Journal of Physics G: Nuclear and Particle Physics, Vol. 46, Issue 8 https://doi.org/10.1088/1361-6471/ab25d4	journal	July 2019
Muon capture in nuclei: An ab initio approach based on Green's function Monte Carlo methods Lovato, A.; Rocco, N.; Schiavilla, R. Physical Review C, Vol. 100, Issue 3 https://doi.org/10.1103/physrevc.100.035502	journal	September 2019
Renormalized approach to neutrinoless double- β decay Cirigliano, V.; Dekens, W.; de Vries, J. Physical Review C, Vol. 100, Issue 5 https://doi.org/10.1103/physrevc.100.055504	journal	November 2019
Coherent elastic neutrino-nucleus scattering on Ar 40 from first principles Payne, C. G.; Bacca, S.; Hagen, G. Physical Review C, Vol. 100, Issue 6 https://doi.org/10.1103/physrevc.100.061304	journal	December 2019
Quantum Monte Carlo calculation of neutral-current ν − C 12 inclusive quasielastic scattering Lovato, A.; Gandolfi, S.; Carlson, J. Physical Review C, Vol. 97, Issue 2 https://doi.org/10.1103/physrevc.97.022502	journal	February 2018
Local chiral interactions, the tritium Gamow-Teller matrix element, and the three-nucleon contact term Baroni, A.; Schiavilla, R.; Marcucci, L. E. Physical Review C, Vol. 98, Issue 4 https://doi.org/10.1103/physrevc.98.044003	journal	October 2018
Nonquenching of g A in nuclei, Landau-Migdal fixed-point theory, and emergence of scale symmetry in dense baryonic matter Li, Yan-Ling; Ma, Yong-Liang; Rho, Mannque Physical Review C, Vol. 98, Issue 4 https://doi.org/10.1103/physrevc.98.044318	journal	October 2018
Scalar, Axial, and Tensor Interactions of Light Nuclei from Lattice QCD Chang, Emmanuel; Davoudi, Zohreh; Detmold, William Physical Review Letters, Vol. 120, Issue 15 https://doi.org/10.1103/physrevlett.120.152002	journal	April 2018
Physics of Nuclei: Key Role of an Emergent Symmetry Dytrych, T.; Launey, K. D.; Draayer, J. P. Physical Review Letters, Vol. 124, Issue 4 https://doi.org/10.1103/physrevlett.124.042501	journal	January 2020
Lattice QCD and neutrino-nucleus scattering Kronfeld, Andreas S.; Richards, David G.; Detmold, William The European Physical Journal A, Vol. 55, Issue 11 https://doi.org/10.1140/epja/i2019-12916-x	journal	November 2019
Local Nucleon-Nucleon and Three-Nucleon Interactions Within Chiral Effective Field Theory Piarulli, Maria; Tews, Ingo Frontiers in Physics, Vol. 7 https://doi.org/10.3389/fphy.2019.00245	journal	January 2020
Lattice QCD and Neutrino-Nucleus Scattering Kronfeld, Andreas S.; Richards, David G.; Detmold, William arXiv https://doi.org/10.48550/arxiv.1904.09931	text	January 2019
Local nucleon-nucleon and three-nucleon interactions within chiral effective field theory Piarulli, Maria; Tews, Ingo arXiv https://doi.org/10.48550/arxiv.2002.00032	text	January 2020