Non-existence of Λnn or Σ^-nn bound states

The possible existence of stable Lambda nn or Sigma ^-nn bound states is investigated by solving the separable model Faddeev equations for both systems in the channels with total angular momentum J=¹/₂ and J=³/₂. It is shown that no bound state exists for either system. It is also shown that, in the case of S-wave two-body interactions, no bound state can exist with J=³/₂ for the Bnn system where B is any baryon.