Complex Scaling of the Hyper-Spheric Coordinates and Faddeev Equations

2003/07/01 by D. V. Fedorov, E. Garrido, A. S. Jensen · 6 citations
Earth and Planetary Sciences · Physics and Astronomy · #Geophysics and Gravity Measurements #nucl-th

paper · pdf · doi:10.1007/s00601-003-0012-4

published as Few Body Syst. 33 (2003) 153-171 · 20 pages, 10 figures

arxiv created 2003/07/01 · openalex publication_date 2003/10/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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