Thresholds and resonances in a three-body model

An exactly soluble three-body model is constructed which consists of two light particles and an infinitely heavy one having internal degrees of freedom. This model is designed to simulate various phenomena associated with isobaric-analog states, showing up in scattering and transfer reactions. The formulation and solution are done in the framework of Faddeev's theory using nonlocal separable potentials. The cross sections are calculated in the neighborhood of the channel thresholds. The effect of a resonance on the threshold is studied in detail and threshold anomalies are searched.