Accumulation of three-body resonances above two-body thresholds
摘要
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 -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.
引用
@article{arxiv.physics/0409149,
title = {Accumulation of three-body resonances above two-body thresholds},
author = {Z. Papp and J. Darai and J. Zs. Mezei and Z. T. Hlousek and C-. Y. Hu},
journal= {arXiv preprint arXiv:physics/0409149},
year = {2009}
}
备注
4 pages, 3 figures