Theoretical Study of the ^3He(mu^-,nu_mu)^3H Capture

Abstract

The ^3He(mu^-,nu_mu)^3H weak capture is studied using correlated-hyperspherical-harmonics wave functions, obtained from realistic Hamiltonians consisting of the Argonne $v_{14}$ or Argonne $v_{18}$ two-nucleon, and Tucson-Melbourne or Urbana-IX three-nucleon interactions. The nuclear weak charge and current operators have vector and axial-vector components that include one- and two-body contributions. The strength of the leading two-body operator in the axial-vector current is adjusted to reproduce the Gamow-Teller matrix element in tritium $\beta$-decay. The calculated total capture rate is in excellent agreement with the most recent experimental determination $1496\pm 4$ sec${}^{-1}$, when the PCAC value is adopted for the induced pseudo-scalar coupling constant $g_{PS}$. The predictions for the capture rate and angular correlation parameters $A_v$, $A_t$, and $A_{\Delta }$ are found to be only very weakly dependent on the model input Hamiltonian. The variation of these observables with $g_{PS}$ and the theoretical uncertainties deriving from the model-dependent procedure used to constrain the axial current are investigated.

16 pages, 1 figure, submitted to PRC

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• Muon capture on deuteron and 3He
• Modern theories of low-energy astrophysical reactions
• Muon Capture on 3He and the Weak Structure of the Nucleon
• Break-up channels in muon capture on 3He
• Muon capture in nuclei: an ab initio approach based on quantum Monte Carlo methods
• Muon capture on 3H
• Partial muon capture rates in $A=3$ and $A=6$ nuclei with chiral effective field theory
• Muon Capture on Deuteron and 3He: A Personal Review
• Muon capture on deuteron and the neutron-neutron scattering length
• Weak axial nuclear heavy meson exchange currents and interactions of solar neutrinos with deuterons
• Muon capture on light nuclei
• Gauge symmetric delta(1232) couplings and the radiative muon capture in hydrogen