title: Accumulation of three-body resonances above two-body thresholds.
abstract: We calculate resonances in the three-body system with attractive Coulomb potential by solving homogeneous Faddeev-Merkuriev integral equations for complex energies. The equations are solved using the Coulomb-Sturmian separable expansion method. This approach allows us to study the exact behavior of the three-body Coulomb systems near the threshold. A negatively charged positronium ion is used as a test case. In addition to locating all previously known S-wave resonances of the positronium ion, we also find a large number of new resonant states that accumulate just slightly above the two-body thresholds. The pattern of accumulation of resonant states above the two-body thresholds suggests that probably they are infinite in number. We conjecture that this may be a general property of the three-body system with an attractive Coulomb potential.
authors.affiliation: Department of Physics and Astronomy, California State University, Long Beach, California 90840, USA.
authors.forename: Z
authors.initials: Z
authors.lastname: Papp
authors.forename: J
authors.initials: J
authors.lastname: Darai
authors.forename: J Zs
authors.initials: JZ
authors.lastname: Mezei
authors.forename: Z T
authors.initials: ZT
authors.lastname: Hlousek
authors.forename: C- Y
authors.initials: C
authors.lastname: Hu