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

Abstract

{\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.

Authors:
 [1];  [2];  [1];  [1];  [3];  [4];  [3]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
  2. Old Dominion Univ., Norfolk, VA (United States); Univ. of South Carolina, Columbia, SC (United States)
  3. Argonne National Lab. (ANL), Argonne, IL (United States)
  4. 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) (SC-26); USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR) (SC-21); 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):
JLAB-THY-17-2538; DOE/OR/23177-4202; arXiv:1709.03592; LA-UR-17-28128
Journal ID: ISSN 2469-9985; PRVCAN; TRN: US1801839
Grant/Contract Number:  
SC0010300; AC05-06OR23177; AC02-06CH11357; AC52-06NA25396; AC02-05CH11231
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review C
Additional Journal Information:
Journal Volume: 97; 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; 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 = {{\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.},
doi = {10.1103/PhysRevC.97.022501},
journal = {Physical Review C},
number = 2,
volume = 97,
place = {United States},
year = {2018},
month = {2}
}

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Figures / Tables:

Figure 1 Figure 1: Diagrams illustrating the (non-vanishing) contributions to the 2b and 3b axial currents. Nucleons, pions, and external fields are denoted by solid, dashed and wavy lines, respectively. The circle in panel (b) represents the vertex implied by the $\mathcal{L}^{(2)}_{πN}$ chiral Lagrangian [35], involving the LECs c3 and c4. Onlymore » a single time ordering is shown; in particular, all direct- and crossed-box diagrams are accounted for. The power counting of the various contributions is also indicated. See text for further explanations.« less

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