dorsal/arxiv
View SchemaThe structure of the atomic helium trimers: Halos and Efimov states
| Authors | E. Nielsen, D. V. Fedorov, A. S. Jensen |
|---|---|
| Categories | |
| ArXiv ID | physics/9806020 |
| URL | https://arxiv.org/abs/physics/9806020 |
| DOI | 10.1088/0953-4075/31/18/008 |
| Journal | J.Phys.B 31 (1998) 4085 |
Abstract
The Faddeev equations for the atomic helium-trimer systems are solved numerically with high accuracy both for the most sophisticated realistic potentials available and for simple phenomenological potentials. An efficient numerical procedure is described. The large-distance asymptotic behavior, crucial for weakly bound three-body systems, is described almost analytically for arbitrary potentials. The Efimov effect is especially considered. The geometric structures of the bound states are quantitatively investigated. The accuracy of the schematic models and previous computations is comparable, i.e. within 20% for the spatially extended states and within 40% for the smaller ^4He-trimer ground state.
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"abstract": "The Faddeev equations for the atomic helium-trimer systems are solved\nnumerically with high accuracy both for the most sophisticated realistic\npotentials available and for simple phenomenological potentials. An efficient\nnumerical procedure is described. The large-distance asymptotic behavior,\ncrucial for weakly bound three-body systems, is described almost analytically\nfor arbitrary potentials. The Efimov effect is especially considered. The\ngeometric structures of the bound states are quantitatively investigated. The\naccuracy of the schematic models and previous computations is comparable, i.e.\nwithin 20% for the spatially extended states and within 40% for the smaller\n^4He-trimer ground state.",
"arxiv_id": "physics/9806020",
"authors": [
"E. Nielsen",
"D. V. Fedorov",
"A. S. Jensen"
],
"categories": [
"physics.atom-ph",
"physics.atm-clus"
],
"doi": "10.1088/0953-4075/31/18/008",
"journal_ref": "J.Phys.B 31 (1998) 4085",
"title": "The structure of the atomic helium trimers: Halos and Efimov states",
"url": "https://arxiv.org/abs/physics/9806020"
},
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