Complex scaling of the hyper-spheric coordinates and Faddeev equations

الأصل · EN

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 ¹²C within the three-α model.