  The reaction rate of the nuclear fusion d+Li6 ----> Be8*(2+,0) is estimated
in the case where the nuclei are confined to each other by a muon. For the
description of nuclear transitions, a method which is analogous to the Linear
Combination of Atomic Orbitals has been used. Using the complex coordinate
rotation method, we found that a molecular d-mu-Li6 state exists with energy
(-20.3084-i0.0066) eV and |\Psi_{m}(0)|=0.44x10^{-7} fm^-3/2. The nuclear wave
functions needed, were constructed in the form of antisymmetrized products of
harmonic-oscillator functions for the three-cluster approximation, (dd\alpha),
to the five-body (NNNN\alpha) problem. It was found that the reaction rate
\lambda is strongly dependent on the energy gap between the d-Li6 threshold and
the energy of the final Be8^* resonant state. The value of \lambda obtained by
averaging over the width of this resonance, is 0.183x10^10 sec^{-1}.
