The pi-mesonic decay of the hypertriton is calculated based on a hyper
triton wave function and 3N scattering states, which are rigorous solu
tions of three-body Faddeev equations using realistic NN and hyperon-n
ucleon interactions. The total pi-mesonic decay rate is found to be 10
1% of the free Lambda decay rate, which is close to the experimental d
ata. Together with the nonmesonic decay the total lifetime of H-3(Lamb
da) is predicted to be 2.56 x 10(-10) sec which is 3% smaller than for
the free Lambda particle. The differential decay rate is evaluated as
a function of the pion momentum. The decay into the N + d + pi channe
l is stronger than in the 3N + pi channel in contrast to the situation
for the nonmesonic decay. The ratio for the decay rate into He-3 + pi
(-) to the decay rate into all channels including pi(-) is found to be
0.379, which is close to the experimental value. We visualize the dec
ay into the dominant channel p + d + pi(-) in a Dalitz plot. Finally w
e compare the polarization of the outgoing proton in free unpolarized
Lambda decay to the polarization of He-3 in unpolarized, H-3(Lambda) d
ecay and we compare the closely related asymmetry of pi(-) emitted par
allel and antiparallel with respect to the spin direction for a polari
zed Lambda to the corresponding asymmetry for a polarized H-3(Lambda).
[S0556-2813(98)01104-2].