dorsal/arxiv
View SchemaThree Body Bound State Calculations without Angular Momentum Decomposition
| Authors | Ch. Elster, W. Schadow, A. Nogga, W. Gloeckle |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9805018 |
| URL | https://arxiv.org/abs/nucl-th/9805018 |
| DOI | 10.1007/s006010050124 |
| Journal | Few Body Syst. 27 (1999) 83-105 |
Abstract
The Faddeev equations for the three body bound state are solved directly as three dimensional integral equation without employing partial wave decomposition. The numerical stability of the algorithm is demonstrated. The three body binding energy is calculated for Malfliet-Tjon type potentials and compared with results obtained from calculations based on partial wave decomposition. The full three body wave function is calculated as function of the vector Jacobi momenta. It is shown that it satisfies the Schr\"odinger equation with high accuracy. The properties of the full wave function are displayed and compared to the ones of the corresponding wave functions obtained as finite sum of partial wave components. The agreement between the two approaches is essentially perfect in all respects.
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"abstract": "The Faddeev equations for the three body bound state are solved directly as\nthree dimensional integral equation without employing partial wave\ndecomposition. The numerical stability of the algorithm is demonstrated. The\nthree body binding energy is calculated for Malfliet-Tjon type potentials and\ncompared with results obtained from calculations based on partial wave\ndecomposition. The full three body wave function is calculated as function of\nthe vector Jacobi momenta. It is shown that it satisfies the Schr\\\"odinger\nequation with high accuracy. The properties of the full wave function are\ndisplayed and compared to the ones of the corresponding wave functions obtained\nas finite sum of partial wave components. The agreement between the two\napproaches is essentially perfect in all respects.",
"arxiv_id": "nucl-th/9805018",
"authors": [
"Ch. Elster",
"W. Schadow",
"A. Nogga",
"W. Gloeckle"
],
"categories": [
"nucl-th"
],
"doi": "10.1007/s006010050124",
"journal_ref": "Few Body Syst. 27 (1999) 83-105",
"title": "Three Body Bound State Calculations without Angular Momentum Decomposition",
"url": "https://arxiv.org/abs/nucl-th/9805018"
},
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