dorsal/arxiv
View SchemaThree-Body Configuration Space Calculations with Hard Core Potentials
| Authors | E. A. Kolganova, A. K. Motovilov, S. A. Sofianos |
|---|---|
| Categories | |
| ArXiv ID | physics/9612012 |
| URL | https://arxiv.org/abs/physics/9612012 |
| DOI | 10.1088/0953-4075/31/6/014 |
| Journal | J.Phys. B31 (1998) 1279-1302 |
Abstract
We present a mathematically rigorous method suitable for solving three-body bound state and scattering problems when the inter-particle interaction is of a hard-core nature. The proposed method is a variant of the Boundary Condition Model and it has been employed to calculate the binding energies for a system consisting of three ^4He atoms. Two realistic He-He interactions of Aziz and collaborators, have been used for this purpose. The results obtained compare favorably with those previously obtained by other methods. We further used the model to calculate, for the first time, the ultra-low energy scattering phase shifts. This study revealed that our method is ideally suited for three-body molecular calculations where the practically hard-core of the inter-atomic potential gives rise to strong numerical inaccuracies that make calculations for these molecules cumbersome.
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"abstract": "We present a mathematically rigorous method suitable for solving three-body\nbound state and scattering problems when the inter-particle interaction is of a\nhard-core nature. The proposed method is a variant of the Boundary Condition\nModel and it has been employed to calculate the binding energies for a system\nconsisting of three ^4He atoms. Two realistic He-He interactions of Aziz and\ncollaborators, have been used for this purpose. The results obtained compare\nfavorably with those previously obtained by other methods. We further used the\nmodel to calculate, for the first time, the ultra-low energy scattering phase\nshifts. This study revealed that our method is ideally suited for three-body\nmolecular calculations where the practically hard-core of the inter-atomic\npotential gives rise to strong numerical inaccuracies that make calculations\nfor these molecules cumbersome.",
"arxiv_id": "physics/9612012",
"authors": [
"E. A. Kolganova",
"A. K. Motovilov",
"S. A. Sofianos"
],
"categories": [
"physics.chem-ph",
"nucl-th",
"physics.atm-clus"
],
"doi": "10.1088/0953-4075/31/6/014",
"journal_ref": "J.Phys. B31 (1998) 1279-1302",
"title": "Three-Body Configuration Space Calculations with Hard Core Potentials",
"url": "https://arxiv.org/abs/physics/9612012"
},
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