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

{\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:
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
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)
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
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; Atomic and Nuclear Physics
OSTI Identifier:
1423779
Alternate Identifier(s):
OSTI ID: 1422644; OSTI ID: 1426718; OSTI ID: 1438111

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., 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.. 2018. "Quantum Monte Carlo calculations of weak transitions in A=6–10 nuclei". United States. doi:10.1103/PhysRevC.97.022501.
@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}
}