The differential muon-capture rate $\frac{d\Gamma }{d{E}_T}$ is obtained for the reaction ${\mu }^{-}+{}_{}{}^6{}_{}{}^{}\mathrm{Li}\to {}_{}{}^3{}_{}{}^{}\mathrm{H}+{}_{}{}^3{}_{}{}^{}\mathrm{H}+{\nu }_{\mu }$ over the allowed range of $E_T$, the tritium energy, for two assumptions concerning the behavior of $F_A$, the axial current form factor, in the timelike region; analytic continuation from the spacelike region and mirror behavior, $F_A(q^2, \mathrm{timelike})=F_A(q^2, \mathrm{spacelike})$. The values of $\frac{d\Gamma }{d{E}_T}$ under these two assumptions are found to vary substantially in the timelike region as a function of the mass $M_A$ in the dipole fit to $F_A$. Values of $\frac{d\Gamma }{d{E}_T}$ are given for ${M_A}^2=2\mathrm{}{m_{\pi }}^2$, $4.95{m_{\pi }}^2$, and $8{m_{\pi }}^2$.

NUCLEAR REACTIONS Muon capture ${}_{}{}^6{}_{}{}^{}\mathrm{Li}({\mu }^{-}, {\nu }_{\mu }){}_{}{}^3{}_{}{}^{}\mathrm{H}{}_{}{}^3{}_{}{}^{}\mathrm{H}$, $\Gamma$, $\frac{d\Gamma }{d{E}_T}$ calculated for two assumptions concerning the axial current form factor behavior in timelike region.

• Received 24 February 1983

DOI:https://doi.org/10.1103/PhysRevC.28.1389