The reaction rate of the nuclear fusion d Li-6-->Be-8(2(+),0) is esti
mated in the case where the nuclei are confined to each other by a muo
n. For the description of nuclear transitions. a method that is analog
ous to the linear combination of atomic orbitals has been used. Using
the complex coordinate rotation method, we found that a molecular d-mu
-Li-6 state exists with energy (-20.3084-i0.0066) eV and \Psi(m)(0)\=0
.44 10(-7) fm-(3/2). The nuclear wave functions needed were constructe
d in the form of antisymmetrized products of harmonic-oscillator funct
ions for the three-cluster approximation (dd alpha) to the five-body (
NNNN alpha) problem. It was found that the reaction rate lambda is str
ongly dependent on the energy gap between the d Li-6 threshold and the
energy of the final Be-8 resonant state. The value of lambda obtaine
d by averaging over the width of this resonance is 0.183x10(10) sec(-1
).