Journal
PHYSICAL REVIEW C
Volume 100, Issue 3, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevC.100.035502
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Funding
- U.S. Department of Energy, Office of Science, Office of Nuclear Physics [DE-AC02-06CH11357, DE-AC05-06OR23177]
- NUclear Computational Low-Energy Initiative (NUCLEI) SciDAC project
- Fermi Research Alliance, LLC
- U.S. Department of Energy, Office of Science, Office of High Energy Physics [DE-AC02-07CH11359]
- Office of Science of the U.S. Department of Energy [DE-AC02-06CH11357]
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An ab initio Green's function Monte Carlo (GFMC) method is introduced for calculating total rates of muon weak capture in light nuclei with mass number A <= 12. As a first application of the method, we perform a calculation of the rate in H-3 and He-4 in a dynamical framework based on realistic two- and three-nucleon interactions and realistic nuclear charge-changing weak currents. The currents include one- and two-body terms induced by pi- and rho-meson exchange, and N-to-Delta excitation, and are constrained to reproduce the empirical value of the Gamow-Teller matrix element in tritium. We investigate the sensitivity of theoretical predictions to current parametrizations of the nucleon axial and induced pseudoscalar form factors as well as to two-body contributions in the weak currents. The large uncertainties in the measured He-4 rates obtained from bubble-chamber experiments (carried out over 50 years ago) prevent us from drawing any definite conclusions. No data exist for H-3, but results are compared to those of a recent Faddeev calculation as a validation of the present GFMC method.
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