Resonance states in the simple schematic two-body model

Abstract

The aim of this work is to obtain resonance states in the simple schematic two-body model. We take up two-body systems, which are described by Schrodinger equation. To obtain resonance states, we apply a simple schematic potential and complex scaling method (CSM). In the CSM, the resonance wave functions are obtained as eigenstates together with bound states by carrying out the diagonalization of the complex scaled Hamiltonian. By finding eigenvalues, we can show the distribution of resonance states in the complex energy plane. As a result, we obtain 5 and 4 resonance states for õ^p = 0⁺, 1" states, respectively.