  The recently developed method to solve the Faddeev equations in coordinate
space is used to study the weakly bound halo nucleus, the hypertriton (Lambda +
n + p). The long distances are treated carefully to achieve convergence and
high accuracy. We use several sets of two-body interactions which reproduce the
deuteron properties and provide the low-energy Lambda-nucleon scattering data
close to that of two of Nijmegen potentials. We show that the details of the
potentials are unimportant unless the accuracy of the hypertriton binding
energy is required to be better than 50 keV. We find that the most significant
parameter of the Lambda-nucleon interaction, the singlet s-wave scattering
length, must be within 10% of 1.85 fm, when the Lambda-separation energy from
the deuteron is about 130 keV. Other details of the Lambda-nucleon interaction
are less important for the hypertriton structure. The scattering length and
effective range are computed for scattering of a Lambda-particle on a deuteron.
The folding model reducing the three-body problem to a two-body problem is
investigated in this context and found to be inadequate.
