Fusion reaction rates for the muonic molecular system dtmu are calcula
ted in the scattering continuum above the first break-up threshold (tm
u)1s + d, and for a few of the resonant states there embedded. In orde
r to analyze the fusion in flight reaction (tmu) + d, the molecular wa
ve function is obtained within (a) semiclassical, (b) adiabatic, and (
c) nonadiabatic descriptions, in the energy range 0.002-10 keV. The se
miclassical rates are higher than the corresponding adiabatic fusion r
ates, but converge towards the latter for high collision energies. In
the nonadiabatic treatment, the qualitatively new structure has been o
btained. The fusion rate shows an oscillatory behaviour, associated wi
th the presence of a series of virtual states and variations of the ov
erbarrier transmission in the tmu + d potential scattering. Furthermor
e, the nonadiabatic fusion rates are substantially enhanced at resonan
t energies near the tmu2s threshold.