Three-dimensional manifestly Poincare-invariant approach to relativistic three-body problem

Three-dimensional manifestly Poincare-invariant approach to relativistic three-body problem which satisfies the requirement of the cluster separability and does not lead to unphysical so-called 'spurious bound states' is developed. It is shown that these requirements determine the possible forms of the pair interaction operators. The problem is solved with allowance for the dependence of the interaction operators on the spectral parameter. 56 refs