Resonances in Few-body Systems

I will show how the resonance poles of the scattering amplitude correspond to eigenstates of the Hamiltonian that is analytically continued into the complex r-space via the dilatation group transformation, and how the corresponding eigenstates satisfy a modified form of the orthogonality condition. As an illustration of the results, I will consider examples of resonances in IT - d, and IX - d scattering as a three-body system.