The muon-capture rate for the reaction ${\mu }^{-}+{}_{}{}^6{}_{}{}^{}\mathrm{Li}\to {}_{}{}^3{}_{}{}^{}\mathrm{H}+{}_{}{}^3{}_{}{}^{}\mathrm{H}+{\nu }_{\mu }$ is calculated by the use of the elementary-particle model. The form factors describing the axial current matrix element are determined by pion-capture data for the reaction ${\pi }^{-}$+${}_{}{}^6{}_{}{}^{}\mathrm{Li}$→${}_{}{}^3{}_{}{}^{}\mathrm{H}$+${}_{}{}^3{}_{}{}^{}\mathrm{H}$ via the partially conserved axial vector current hypothesis and results based on the impulse approximation. The form factors describing the vector current matrix element are obtained from the reactions $\gamma$+${}_{}{}^6{}_{}{}^{}\mathrm{Li}$→${}_{}{}^3{}_{}{}^{}\mathrm{H}$+${}_{}{}^3{}_{}{}^{}\mathrm{He}$ and ${}_{}{}^3{}_{}{}^{}\mathrm{H}$+${}_{}{}^3{}_{}{}^{}\mathrm{He}$→$\gamma$+${}_{}{}^6{}_{}{}^{}\mathrm{Li}$ via the conserved vector current hypothesis. Two results are presented for which the assumptions vary, $\Gamma =104.9\mathrm{}$ ${\sec }^{-1\mathrm{}}$ and $\Gamma =160.5\mathrm{}$ ${\sec }^{-1\mathrm{}}$.

NUCLEAR REACTIONS Muon-capture ${}_{}{}^6{}_{}{}^{}\mathrm{Li}$($\mu$,${\nu }_{\mu }$)${}_{}{}^3{}_{}{}^{}\mathrm{H}$${}_{}{}^3{}_{}{}^{}\mathrm{H}$ calculated $\Gamma$, $\frac{d\Gamma }{d\nu }$ using the elementary-particle model.

• Received 13 June 1978

DOI:https://doi.org/10.1103/PhysRevC.19.476