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

S. Pastore, A. Baroni, J. Carlson, S. Gandolfi, Steven C. Pieper, R. Schiavilla, R. B. Wiringa

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Abstract

Ab initio calculations of the Gamow-Teller (GT) matrix elements in the β decays of He6 and C10 and electron captures in Be7 are carried out using both variational and Green's function Monte Carlo wave functions obtained from the Argonne v18 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 Be7, while theory overestimates the He6 and C10 data by ∼2% and ∼10%, respectively. We show that for these systems correlations in the nuclear wave functions are crucial to explaining the data, while many-body currents increase by ∼2-3% the one-body GT contributions.

Original languageEnglish
Article number022501
JournalPhysical Review C
Volume97
Issue number2
DOIs
StatePublished - Feb 26 2018
Externally publishedYes

Funding

The work of S.P., J.C., S.G., S.C.P., and R.B.W. has been supported by the Nuclear Computational Low-Energy Initiative (NUCLEI) SciDAC project. The work of A.B. has been supported by the U.S. Department of Energy, Office of Science, Office of Nuclear Physics, under Award No. DE-SC0010300. This research is also supported by the U.S. Department of Energy, Office of Science, Office of Nuclear Physics, under Contracts No. DE-AC05-06OR23177 (R.S.), No. DE-AC02-06CH11357 (S.C.P. and R.B.W.), and No. DE-AC52-06NA25396 and the Los Alamos LDRD program (J.C. and S.G.). Computational resources have been provided by Los Alamos Open Supercomputing, and Argonne's Laboratory Computing Resource Center. We also used resources provided by NERSC, which is supported by the U.S. DOE under Contract No. DE-AC02-05CH11231. Correspondence with I.S. Towner in reference to radiative corrections in the A = 6 – 10 weak transitions is gratefully acknowledged. S.P. thanks A. Hayes for her guidance and numerous consultations on branching ratios in A = 10 decays. A.B. thanks H. Krebs and E. Epelbaum for correspondence in reference to the analytical comparison with the two-nucleon axial current operators derived in Ref. [28] . The work of S.P., J.C., S.G., S.C.P., and R.B.W. has been supported by the Nuclear Computational Low-Energy Initiative (NUCLEI) SciDAC project. The work of A.B. has been supported by the U.S. Department of Energy, Office of Science, Office of Nuclear Physics, under Award No. DE-SC0010300. This research is also supported by the U.S. Department of Energy, Office of Science, Office of Nuclear Physics, under Contracts No. DE-AC05-06OR23177 (R.S.), No. DE-AC02-06CH11357 (S.C.P. and R.B.W.), and No. DE-AC52-06NA25396 and the Los Alamos LDRD program (J.C. and S.G.). Computational resources have been provided by Los Alamos Open Supercomputing, and Argonne's Laboratory Computing Resource Center. We also used resources provided by NERSC, which is supported by the U.S. DOE under Contract No. DE-AC02-05CH11231.

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