Can a Λnn resonance constrain the Λn amplitude?*

We present results for the trajectories of the Λnn S-matrix pole in the complex energy plane as one varies the strength of the Λn interaction. This is achieved within the framework of the Faddeev equation in momentum space employing a separable two-body interaction that fits the singlet and triplet effective range parameters of several ΛN potentials. The energy of the pole is determined by examining the eigenvalues of the the kernel of the Faddeev integral equations after contour rotation to expose that portion of the energy plane where resonances could reside. It will be demonstrated that a ten percent change in the Λn interaction strength can give rise to a Λnn pole that could be classified as a low energy Λnn resonance, while a 40% increase in the strength of the interaction could give rise to a Λnn bound state. Considering the fact that there is a variation of  ≈10% in the effective ranges parameters for the different ΛN potentials, one could conceive the possible existence of such a resonance. The question one can then ask is: Can such a resonance impose conditions on the Λn effective range parameters, and possibly shed light on charge symmetry breaking in the S = -1 sector?