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
6
He nucleus within the
α+n+n
model; and the two
0
+
resonances in
12
C within the three-
α
model.