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Complex scaling of the hyper-spheric coordinates and Faddeev equations

D. V. Fedorov·E. Garrido·A. S. Jensen
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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.

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D. V. Fedorov, E. Garrido, A. S. Jensen. 2003-07-01. Complex scaling of the hyper-spheric coordinates and Faddeev equations. https://doi.org/10.1007/s00601-003-0012-4

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