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The ^3He(mu^-,nu_mu)^3H weak capture is studied usingcorrelated-hyperspherical-harmonics wave functions, obtained from realisticHamiltonians consisting of the Argonne $v_{14}$ or Argonne $v_{18}$two-nucleon, and Tucson-Melbourne or Urbana-IX three-nucleon interactions. Thenuclear weak charge and current operators have vector and axial-vectorcomponents that include one- and two-body contributions. The strength of theleading two-body operator in the axial-vector current is adjusted to reproducethe Gamow-Teller matrix element in tritium $\beta$-decay. The calculated totalcapture rate is in excellent agreement with the most recent experimentaldetermination $1496\pm 4$ sec$^{-1}$, when the PCAC value is adopted for theinduced pseudo-scalar coupling constant $g_{PS}$. The predictions for thecapture 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. Thevariation of these observables with $g_{PS}$ and the theoretical uncertaintiesderiving from the model-dependent procedure used to constrain the axial currentare investigated.Comment: 16 pages, 1 figure, submitted to PR

physical review. c. nuclear physics/physical review. c, nuclear physics

Theoretical study of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow /><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msup></mml:mrow><mml:mi mathvariant="normal">He</mml:mi><mml:mo>(</mml:mo><mml:mrow><mml:msup><mml:mrow><mml:mi>μ</mml:mi></mml:mrow><mml:mrow><mml:mi>−</mml:mi></mml:mrow></mml:msup></mml:mrow><mml:mo>,</mml:mo><mml:mrow><mml:msub><mml:mrow><mml:mi>ν</mml:mi></mml:mrow><mml:mrow><mml:mi>μ</mml:mi></mml:mrow></mml:msub></mml:…

Theoretical study of3He(μ−,νμ