The Λn scattering length and the Λnn resonance

The possibility of determining the Λn scattering length from the measurement of a resonance in the Λnn system is explored. A rank-one separable formalism of the Hamiltonian is utilized. The eigenvalues of the kernel of the relevant Faddeev equations are tracked in the complex energy plane in order to analytically continue the kernel onto the second Riemann energy sheet. Specifically, the largest eigenvalue is followed as the Λn s-wave spin-singlet and spin-triplet potentials are scaled. As the scale factor is increased, the pole in the Λnn continuum evolves from a subtheshold resonance to a physically observable resonance and, finally, to a bound state.The possibility of determining the Λn scattering length from the measurement of a resonance in the Λnn system is explored. A rank-one separable formalism of the Hamiltonian is utilized. The eigenvalues of the kernel of the relevant Faddeev equations are tracked in the complex energy plane in order to analytically continue the kernel onto the second Riemann energy sheet. Specifically, the largest eigenvalue is followed as the Λn s-wave spin-singlet and spin-triplet potentials are scaled. As the scale factor is increased, the pole in the Λnn continuum evolves from a subtheshold resonance to a physically observable resonance and, finally, to a bound state.