Faddeev-Merkuriev equations for resonances in three-body Coulombic systems

Details Faddeev-Merkuriev equations for resonances in three-body Coulombic systems Faddeev-Merkuriev equations for resonances in three-body Coulombic systems

2002-06-19

arxiv.org/abs/physics/0206069v1

Physics

Atomic Physics

LaTeX with elsart.sty 13 pages, 5 figures

Scientific paper

10.1016/S0375-9601(02)01350-6

We reconsider the homogeneous Faddeev-Merkuriev integral equations for three-body Coulombic systems with attractive Coulomb interactions and point out that the resonant solutions are contaminated with spurious resonances. The spurious solutions are related to the splitting of the attractive Coulomb potential into short- and long-range parts, which is inherent in the approach, but arbitrary to some extent. By varying the parameters of the splitting the spurious solutions can easily be ruled out. We solve the integral equations by using the Coulomb-Sturmian separable expansion approach. This solution method provides an exact description of the threshold phenomena. We have found several new S-wave resonances in the e- e+ e- system in the vicinity of thresholds.

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