dorsal/arxiv
View SchemaConfiguration mixing calculation for complete low-lying spectra with the mean-field Hamiltonian
| Authors | S. Shinohara, H. Ohta, T. Nakatsukasa, K. Yabana |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0607004 |
| URL | https://arxiv.org/abs/nucl-th/0607004 |
| DOI | 10.1103/PhysRevC.74.054315 |
| Journal | Phys.Rev. C74 (2006) 054315 |
Abstract
We propose a new theoretical approach to ground and low-energy excited states of nuclei extending the nuclear mean-field theory. It consists of three steps: stochastic preparation of many Slater determinants, the parity and angular momentum projection, and diagonalization of the generalized eigenvalue problems. The Slater determinants are constructed in the three-dimensional Cartesian coordinate representation capable of describing arbitrary shape of nuclei. We examine feasibility and usefulness of the method by applying the method with the BKN interaction to light 4N-nuclei, 12C, 16O, and 20Ne. We discuss difficulties of keeping linear independence for basis states projected on good parity and angular momentum and present a possible prescription.
{
"annotation_id": "50154e5c-e860-4123-b711-3eabad3f4815",
"date_created": "2026-03-02T18:00:08.133000Z",
"date_modified": "2026-03-02T18:00:08.133000Z",
"file_hash": "308442cd31be61f1bf09b6cc3afc43f697bd24b2c89a1f0807f6b650d8a1b16d",
"private": false,
"record": {
"abstract": "We propose a new theoretical approach to ground and low-energy excited states\nof nuclei extending the nuclear mean-field theory. It consists of three steps:\nstochastic preparation of many Slater determinants, the parity and angular\nmomentum projection, and diagonalization of the generalized eigenvalue\nproblems. The Slater determinants are constructed in the three-dimensional\nCartesian coordinate representation capable of describing arbitrary shape of\nnuclei. We examine feasibility and usefulness of the method by applying the\nmethod with the BKN interaction to light 4N-nuclei, 12C, 16O, and 20Ne. We\ndiscuss difficulties of keeping linear independence for basis states projected\non good parity and angular momentum and present a possible prescription.",
"arxiv_id": "nucl-th/0607004",
"authors": [
"S. Shinohara",
"H. Ohta",
"T. Nakatsukasa",
"K. Yabana"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.74.054315",
"journal_ref": "Phys.Rev. C74 (2006) 054315",
"title": "Configuration mixing calculation for complete low-lying spectra with the mean-field Hamiltonian",
"url": "https://arxiv.org/abs/nucl-th/0607004"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "6d7a139b-c36f-402a-a39e-d4141b6bc4dc",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}