dorsal/arxiv
View SchemaRenormalization group analysis of nuclear current operators
| Authors | Satoshi X. Nakamura, Shung-ichi Ando |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0606026 |
| URL | https://arxiv.org/abs/nucl-th/0606026 |
| DOI | 10.1103/PhysRevC.74.034004 10.1103/PhysRevC.76.069902 |
| Journal | Phys.Rev.C74:034004,2006; Erratum-ibid.C76:069902,2007 |
Abstract
A Wilsonian renormalization group (WRG) equation for nuclear current operators in two-nucleon systems is derived. Nuclear current operators relevant to low-energy Gamow-Teller transitions are analyzed using the WRG equation. We employ the axial two-body current operators from phenomenological models and heavy-baryon chiral perturbation theory, which are quite different from one another in describing small scale physics. After reducing the model space of the operators using the WRG equation, we find that there still remains a significant model dependence at \Lambda = 200 MeV, where \Lambda is the sharp cutoff specifying the size of the model space. A model independent effective current operator is found at a rather small cutoff value, \Lambda = 70 MeV. By simulating the effective current operator at \Lambda=70 MeV, we obtain a current operator based on a pionless theory, thereby arguing an equivalence relation between nuclear current operators of phenomenological models and those of effective field theories.
{
"annotation_id": "c1965171-18d8-4a93-b693-4fd69564c330",
"date_created": "2026-03-02T18:00:07.910000Z",
"date_modified": "2026-03-02T18:00:07.910000Z",
"file_hash": "58e62f5608a67b47db345aeb079b0b9fb17967d4fb57341d1e8e143a7acd71bb",
"private": false,
"record": {
"abstract": "A Wilsonian renormalization group (WRG) equation for nuclear current\noperators in two-nucleon systems is derived. Nuclear current operators relevant\nto low-energy Gamow-Teller transitions are analyzed using the WRG equation. We\nemploy the axial two-body current operators from phenomenological models and\nheavy-baryon chiral perturbation theory, which are quite different from one\nanother in describing small scale physics. After reducing the model space of\nthe operators using the WRG equation, we find that there still remains a\nsignificant model dependence at \\Lambda = 200 MeV, where \\Lambda is the sharp\ncutoff specifying the size of the model space. A model independent effective\ncurrent operator is found at a rather small cutoff value, \\Lambda = 70 MeV. By\nsimulating the effective current operator at \\Lambda=70 MeV, we obtain a\ncurrent operator based on a pionless theory, thereby arguing an equivalence\nrelation between nuclear current operators of phenomenological models and those\nof effective field theories.",
"arxiv_id": "nucl-th/0606026",
"authors": [
"Satoshi X. Nakamura",
"Shung-ichi Ando"
],
"categories": [
"nucl-th",
"hep-ph"
],
"doi": "10.1103/PhysRevC.74.034004 10.1103/PhysRevC.76.069902",
"journal_ref": "Phys.Rev.C74:034004,2006; Erratum-ibid.C76:069902,2007",
"title": "Renormalization group analysis of nuclear current operators",
"url": "https://arxiv.org/abs/nucl-th/0606026"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "0cfee25d-ee56-4903-9a85-06ffa77555a9",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}