dorsal/arxiv
View SchemaFaddeev-Merkuriev equations for resonances in three-body Coulombic systems
| Authors | Z. Papp, J. Darai, A. Nishimura, Z. T. Hlousek, C. -Y. Hu, S. L. Yakovlev |
|---|---|
| Categories | |
| ArXiv ID | physics/0206069 |
| URL | https://arxiv.org/abs/physics/0206069 |
| DOI | 10.1016/S0375-9601(02)01350-6 |
Abstract
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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"date_created": "2026-03-02T18:00:39.110000Z",
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"abstract": "We reconsider the homogeneous Faddeev-Merkuriev integral equations for\nthree-body Coulombic systems with attractive Coulomb interactions and point out\nthat the resonant solutions are contaminated with spurious resonances. The\nspurious solutions are related to the splitting of the attractive Coulomb\npotential into short- and long-range parts, which is inherent in the approach,\nbut arbitrary to some extent. By varying the parameters of the splitting the\nspurious solutions can easily be ruled out. We solve the integral equations by\nusing the Coulomb-Sturmian separable expansion approach. This solution method\nprovides an exact description of the threshold phenomena. We have found several\nnew S-wave resonances in the e- e+ e- system in the vicinity of thresholds.",
"arxiv_id": "physics/0206069",
"authors": [
"Z. Papp",
"J. Darai",
"A. Nishimura",
"Z. T. Hlousek",
"C. -Y. Hu",
"S. L. Yakovlev"
],
"categories": [
"physics.atom-ph"
],
"doi": "10.1016/S0375-9601(02)01350-6",
"title": "Faddeev-Merkuriev equations for resonances in three-body Coulombic systems",
"url": "https://arxiv.org/abs/physics/0206069"
},
"schema_id": "dorsal/arxiv",
"source": {
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"variant": "snapshot-2026-03-01",
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