Λ NN and Σ NN states with I= 0, 1, 2 and J= 1/2, 3/2 at threshold, taking into account all three-
body configurations with S and D wave components. We constrain further the limits for the Λ
N spin-triplet scattering length a 1/2, 1. Using the hypertriton binding energy, we find a
narrow interval for the possible values of the Λ N spin-singlet scattering length a 1/2, 0. We
find that the Σ NN system has a quasibound state in the (I, J)=(1, 1/2) channel very near …