Structure of Resonance States in the Simple Schematic Model

Abstract

The complex scaling method is one of the powerful tool in wide areas of physics, particularly in nuclear physics. In the first stage, its advantage was mainly pointed out for description of the resonance states in the composite systems. In the last decide, the usage of this method has increased not only to obtain information on resonance states but also to determine scattering quantities in the observables. To determine the presence of many resonant states at the wave is not easy and complex scaling method can be used to determine the obtain many resonant states. The simple schematic two-body model is applied for study of many resonant states. Applying the complex scaling method, we can easily obtain several resonance states even with a wide and a sharp decay widths simultaneously. In this work, one bound and five resonance states for J π = 0 + wave and one bound and four resonance states for J π = 1 − wave are reported.