Publications
Publication Information
Title | Quantum Monte Carlo calculations of weak transitions in $A\,$=$\,$6--10 nuclei | ||
Authors | Saori Pastore, Alessandro Baroni, J. Carlson, Stefano Gandolfi, Steven Pieper, Rocco Schiavilla, Robert Wiringa | ||
JLAB number | JLAB-THY-17-2538 | ||
LANL number | arXiv:1709.03592 | ||
Other number | DOE/OR/23177-4202 | ||
Document Type(s) | (Journal Article) | ||
Associated with EIC: | No | ||
Supported by Jefferson Lab LDRD Funding: | No | ||
Funding Source: | Nuclear Physics (NP) | ||
Journal Compiled for Physical Review C Volume 97 Issue 02 Page(s) 022501(R) Refereed | |||
Publication 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. | ||
Experiment Numbers: | other | ||
Group: | THEORY CENTER | ||
Document: | |||
DOI: | https://doi.org/10.1103/PhysRevC.97.022501 | ||
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