Accumulation of three-body resonances above two-body thresholds

Details Accumulation of three-body resonances above two-body thresholds Accumulation of three-body resonances above two-body thresholds

2004-09-29

arxiv.org/abs/physics/0409149v1

Physics

Atomic Physics

4 pages, 3 figures

Scientific paper

10.1103/PhysRevLett.94.143201

We calculate resonances in three-body systems with attractive Coulomb potentials by solving the homogeneous Faddeev-Merkuriev integral equations for complex energies. The equations are solved by using the Coulomb-Sturmian separable expansion approach. This approach provides an exact treatment of the threshold behavior of the three-body Coulombic systems. We considered the negative positronium ion and, besides locating all the previously know $S$-wave resonances, we found a whole bunch of new resonances accumulated just slightly above the two-body thresholds. The way they accumulate indicates that probably there are infinitely many resonances just above the two-body thresholds, and this might be a general property of three-body systems with attractive Coulomb potentials.

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