dorsal/arxiv
View SchemaAccumulation of three-body resonances above two-body thresholds
| Authors | Z. Papp, J. Darai, J. Zs. Mezei, Z. T. Hlousek, C-. Y. Hu |
|---|---|
| Categories | |
| ArXiv ID | physics/0409149 |
| URL | https://arxiv.org/abs/physics/0409149 |
| DOI | 10.1103/PhysRevLett.94.143201 |
Abstract
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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"date_created": "2026-03-02T18:00:53.560000Z",
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"abstract": "We calculate resonances in three-body systems with attractive Coulomb\npotentials by solving the homogeneous Faddeev-Merkuriev integral equations for\ncomplex energies. The equations are solved by using the Coulomb-Sturmian\nseparable expansion approach. This approach provides an exact treatment of the\nthreshold behavior of the three-body Coulombic systems. We considered the\nnegative positronium ion and, besides locating all the previously know $S$-wave\nresonances, we found a whole bunch of new resonances accumulated just slightly\nabove the two-body thresholds. The way they accumulate indicates that probably\nthere are infinitely many resonances just above the two-body thresholds, and\nthis might be a general property of three-body systems with attractive Coulomb\npotentials.",
"arxiv_id": "physics/0409149",
"authors": [
"Z. Papp",
"J. Darai",
"J. Zs. Mezei",
"Z. T. Hlousek",
"C-. Y. Hu"
],
"categories": [
"physics.atom-ph"
],
"doi": "10.1103/PhysRevLett.94.143201",
"title": "Accumulation of three-body resonances above two-body thresholds",
"url": "https://arxiv.org/abs/physics/0409149"
},
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