Complex scaling of the hyper-spheric coordinates and Faddeev equations
Few-body systems, 2003•Springer
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 …
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 …
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.
Springer
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