dorsal/arxiv
View SchemaEffective operators within the ab initio no-core shell model
| Authors | Ionel Stetcu, Bruce R. Barrett, Petr Navratil, James P. Vary |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0412004 |
| URL | https://arxiv.org/abs/nucl-th/0412004 |
| DOI | 10.1103/PhysRevC.71.044325 |
| Journal | Phys.Rev. C71 (2005) 044325 |
Abstract
We implement an effective operator formalism for general one- and two-body operators, obtaining results consistent with the no-core shell model (NCSM) wave functions. The Argonne V8' nucleon-nucleon potential was used in order to obtain realistic wave functions for 4He, 6Li and 12C. In the NCSM formalism, we compute electromagnetic properties using the two-body cluster approximation for the effective operators and obtain results which are sensitive to the range of the bare operator. To illuminate the dependence on the range, we employ a Gaussian two-body operator of variable range, finding weak renormalization of long range operators (e.g., quadrupole) in a fixed model space. This is understood in terms of the two-body cluster approximation which accounts mainly for short-range correlations. Consequently, short range operators, such as the relative kinetic energy, will be well renormalized in the two-body cluster approximation.
{
"annotation_id": "1f9c69be-6500-4c5b-9c7d-70459f3d3576",
"date_created": "2026-03-02T18:00:04.990000Z",
"date_modified": "2026-03-02T18:00:04.990000Z",
"file_hash": "f613ae5a764d60824c51d450c43c6f23232fe0a6b5bfbc6d4c66f34d472ae22c",
"private": false,
"record": {
"abstract": "We implement an effective operator formalism for general one- and two-body\noperators, obtaining results consistent with the no-core shell model (NCSM)\nwave functions. The Argonne V8\u0027 nucleon-nucleon potential was used in order to\nobtain realistic wave functions for 4He, 6Li and 12C. In the NCSM formalism, we\ncompute electromagnetic properties using the two-body cluster approximation for\nthe effective operators and obtain results which are sensitive to the range of\nthe bare operator. To illuminate the dependence on the range, we employ a\nGaussian two-body operator of variable range, finding weak renormalization of\nlong range operators (e.g., quadrupole) in a fixed model space. This is\nunderstood in terms of the two-body cluster approximation which accounts mainly\nfor short-range correlations. Consequently, short range operators, such as the\nrelative kinetic energy, will be well renormalized in the two-body cluster\napproximation.",
"arxiv_id": "nucl-th/0412004",
"authors": [
"Ionel Stetcu",
"Bruce R. Barrett",
"Petr Navratil",
"James P. Vary"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.71.044325",
"journal_ref": "Phys.Rev. C71 (2005) 044325",
"title": "Effective operators within the ab initio no-core shell model",
"url": "https://arxiv.org/abs/nucl-th/0412004"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "8e9f9d1f-8fad-44ec-a9b6-6bd87d6de461",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}