dorsal/arxiv
View SchemaThe complex Kohn variational method applied to N-d scattering
| Authors | Alejandro Kievsky |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9706061 |
| URL | https://arxiv.org/abs/nucl-th/9706061 |
| DOI | 10.1016/S0375-9474(97)81832-5 |
| Journal | Nucl.Phys. A624 (1997) 125-139 |
Abstract
The three-nucleon ground state and the N--d scattering states are obtained using variational principles. The wave function of the system is decomposed into angular-spin-isospin channels and the corresponding two dimensional spatial amplitudes are expanded in a correlated polynomial basis. For the scattering states, the complex form of the Kohn variational principle is used to determine the $S$--matrix. Special attention is given to the convergence pattern of the phase-shift and mixing parameters. The calculations have been performed using realistic local NN potentials and three-nucleon forces. Important features of the method are anomaly-free solutions and the low dimensionality of the matrices involved allowing for the inclusion of a large number of states. Very precise and stable numerical results have been obtained.
{
"annotation_id": "8f20b2d6-f89c-4670-be77-70bbd0366a8d",
"date_created": "2026-03-02T18:00:18.143000Z",
"date_modified": "2026-03-02T18:00:18.143000Z",
"file_hash": "78d2f0e24b66c83ba036c2b757f6a28405e3df48d1d9bf578d932eb639f99389",
"private": false,
"record": {
"abstract": "The three-nucleon ground state and the N--d scattering states are obtained\nusing variational principles. The wave function of the system is decomposed\ninto angular-spin-isospin channels and the corresponding two dimensional\nspatial amplitudes are expanded in a correlated polynomial basis. For the\nscattering states, the complex form of the Kohn variational principle is used\nto determine the $S$--matrix. Special attention is given to the convergence\npattern of the phase-shift and mixing parameters. The calculations have been\nperformed using realistic local NN potentials and three-nucleon forces.\nImportant features of the method are anomaly-free solutions and the low\ndimensionality of the matrices involved allowing for the inclusion of a large\nnumber of states. Very precise and stable numerical results have been obtained.",
"arxiv_id": "nucl-th/9706061",
"authors": [
"Alejandro Kievsky"
],
"categories": [
"nucl-th"
],
"doi": "10.1016/S0375-9474(97)81832-5",
"journal_ref": "Nucl.Phys. A624 (1997) 125-139",
"title": "The complex Kohn variational method applied to N-d scattering",
"url": "https://arxiv.org/abs/nucl-th/9706061"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "76a39798-4b38-4c3d-8dc7-2ac381e1a5ab",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}