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.

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Research Organization:: 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 Organization:: 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

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

OSTI ID:: 1423779

Alternate ID(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; PRVCAN; TRN: US1801839

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

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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