Muon capture inLi6in the ditriton channel by the use of the elementary particle model

Abstract

The muon-capture rate for the reaction ${\ensuremath{\mu}}^{\ensuremath{-}}+^{6}\mathrm{Li}\ensuremath{\rightarrow}^{3}\mathrm{H}+^{3}\mathrm{H}+{\ensuremath{\nu}}_{\ensuremath{\mu}}$ 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 ${\ensuremath{\pi}}^{\ensuremath{-}}$+$^{6}\mathrm{Li}$\ensuremath{\rightarrow}$^{3}\mathrm{H}$+$^{3}\mathrm{H}$ 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 $\ensuremath{\gamma}$+$^{6}\mathrm{Li}$\ensuremath{\rightarrow}$^{3}\mathrm{H}$+$^{3}\mathrm{He}$ and $^{3}\mathrm{H}$+$^{3}\mathrm{He}$\ensuremath{\rightarrow}$\ensuremath{\gamma}$+$^{6}\mathrm{Li}$ via the conserved vector current hypothesis. Two results are presented for which the assumptions vary, $\ensuremath{\Gamma}=104.9$ ${\mathrm{sec}}^{\ensuremath{-}1}$ and $\ensuremath{\Gamma}=160.5$ ${\mathrm{sec}}^{\ensuremath{-}1}$.NUCLEAR REACTIONS Muon-capture $^{6}\mathrm{Li}$($\ensuremath{\mu}$,${\ensuremath{\nu}}_{\ensuremath{\mu}}$)$^{3}\mathrm{H}$$^{3}\mathrm{H}$ calculated $\ensuremath{\Gamma}$, $\frac{d\ensuremath{\Gamma}}{d\ensuremath{\nu}}$ using the elementary-particle model.