We point out that the most commonly used version of the relativistic Faddeev equations has spurious bound-state solutions and therefore it is unsuitable for calculations in the bound-state region. We propose a way to modify these equations which would correct the problem, but which leads to the loss of the clustering property. We present numerical examples for the case of the ${\pi }^{-}$ nn system.

NUCLEAR REACTIONS ${\pi }^{-}$ nn bound states; calculated Fredholm determinant $0\le \sqrt{S}\le 2018$ MeV.

• Received 29 April 1983

DOI:https://doi.org/10.1103/PhysRevC.28.1272