dorsal/arxiv
View SchemaThree-Body Scattering without Partial Waves
| Authors | H. Liu, Ch. Elster, W. Gloeckle |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0409080 |
| URL | https://arxiv.org/abs/nucl-th/0409080 |
| DOI | 10.1063/1.1932988 |
Abstract
The Faddeev equation for three-body scattering at arbitrary energies is formulated in momentum space and directly solved in terms of momentum vectors without employing a partial wave decomposition. In its simplest form the Faddeev equation for identical bosons is a three-dimensional integral equation in five variables, magnitudes of relative momenta and angles. The elastic differential cross section, semi-exclusive d(N,N') cross sections and total cross sections of both elastic and breakup processes in the intermediate energy range up to about 1 GeV are calculated based on a Malfliet-Tjon type potential, and the convergence of the multiple scattering series is investigated in every case. In general a truncation in the first or second order in the two-body t-matrix is quite insufficient.
{
"annotation_id": "47831146-f2ef-4722-8091-7a191fe13655",
"date_created": "2026-03-02T18:00:01.535000Z",
"date_modified": "2026-03-02T18:00:01.535000Z",
"file_hash": "f26af67824675e28fca2b889df7c098ebd96a0c7068a672296bc4575e240bc98",
"private": false,
"record": {
"abstract": "The Faddeev equation for three-body scattering at arbitrary energies is\nformulated in momentum space and directly solved in terms of momentum vectors\nwithout employing a partial wave decomposition. In its simplest form the\nFaddeev equation for identical bosons is a three-dimensional integral equation\nin five variables, magnitudes of relative momenta and angles. The elastic\ndifferential cross section, semi-exclusive d(N,N\u0027) cross sections and total\ncross sections of both elastic and breakup processes in the intermediate energy\nrange up to about 1 GeV are calculated based on a Malfliet-Tjon type potential,\nand the convergence of the multiple scattering series is investigated in every\ncase. In general a truncation in the first or second order in the two-body\nt-matrix is quite insufficient.",
"arxiv_id": "nucl-th/0409080",
"authors": [
"H. Liu",
"Ch. Elster",
"W. Gloeckle"
],
"categories": [
"nucl-th"
],
"doi": "10.1063/1.1932988",
"title": "Three-Body Scattering without Partial Waves",
"url": "https://arxiv.org/abs/nucl-th/0409080"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "bb04b647-7e27-4d3a-a45a-443d7c269527",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}