Quantum Monte Carlo calculations of weak transitions in $A=6\u201310$ nuclei
Abstract
{\it Ab initio} calculations of the GamowTeller (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 $$v_{18}$$ twonucleon and Illinois7 threenucleon interactions, and axial manybody currents derived from either mesonexchange 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 manybody currents increase by $$\sim 2$$$$3\%$$ the onebody 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 shellmodel calculations, may be resolved, at least partially, by correlation effects.
 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 Laboratory (ANL), Argonne, IL (United States); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC); 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), 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. https://doi.org/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. https://doi.org/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 GamowTeller (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 $v_{18}$ twonucleon and Illinois7 threenucleon interactions, and axial manybody currents derived from either mesonexchange 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 manybody currents increase by $\sim 2$$3\%$ the onebody 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 shellmodel 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}
}
Web of Science
Figures / Tables:
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