Complex Scaling of the Hyper-Spheric Coordinates and Faddeev Equations

摘要

We implement complex scaling of Faddeev equations using hyper-spheric coordinates and adiabatic expansion. Complex scaling of coordinates allows convenient calculations of three-body resonances. We derive the necessary equations and investigate the adiabatic spectrum at large distances. We illustrate the viability of the implementation by calculations of several three-body resonances: a 0~+ resonance in a model benchmark system of three identical bosons; the 2~+ resonance in the ~6He nucleus within the α+ n + n model; and the two 0~+ resonances in ~(12)C within the three-α model.