A Missing Link Between Quark-Model Resonant States and Scattering-Matrix Singularities

For last two decades different quark models have predicted diverse, sometimes contradictory collections of resonant states. To choose the best among them, the obtained sets had to be compared to available experimental values. In the absence of a more thorough understanding, quark-model resonant states have been directly identified with scattering-matrix singularities. We demonstrate that these are two closely related, but different physical quantities, and offer a model based on the coupled-channel formalism to connect them in an unambiguous way.