Conjecture: A Possible nnΛ Resonance

We address the question of whether there might exist a resonance in the nn Λ system, using a rank one separable potential formulation of the Hamiltonian. We explore the eigenvalues of the kernel of the Faddeev equation in the complex energy plane using contour rotation to allow us to analytically continue the kernel onto the second energy sheet. We follow the largest eigenvalue as the n Λ potentials are scaled and the nn Λ continuum is turned into a resonance and then into a bound state of the system.