Complex scaling of the hyper-spheric coordinates and Faddeev equations
Abstract
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.
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