dorsal/arxiv
View SchemaDeuteron Matrix Elements in Chiral Effective Theory at Leading Order
| Authors | L. Platter, D. R. Phillips |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0605024 |
| URL | https://arxiv.org/abs/nucl-th/0605024 |
| DOI | 10.1016/j.physletb.2006.08.053 |
| Journal | Phys.Lett.B641:164-170,2006 |
Abstract
We consider matrix elements of two-nucleon operators that arise in chiral effective theories of the two-nucleon system. Generically, the short-distance piece of these operators scales as 1/r^n, with r the relative separation of the two nucleons. We show that, when evaluated between the leading-order wave functions obtained in this effective theory, these two-nucleon operators are independent of the cutoff used to renormalize the two-body problem for n=1 and 2. However, for n greater than or equal to 3 general arguments about the short-distance behavior of the leading-order deuteron wave function show that the matrix element will diverge.
{
"annotation_id": "f8d99932-09b6-4b2a-a2c2-094b974cc96c",
"date_created": "2026-03-02T18:00:08.124000Z",
"date_modified": "2026-03-02T18:00:08.124000Z",
"file_hash": "21957ca2dfd5a2f860c459d66907544253aa7cc4a7188a5500020d8d30c0520b",
"private": false,
"record": {
"abstract": "We consider matrix elements of two-nucleon operators that arise in chiral\neffective theories of the two-nucleon system. Generically, the short-distance\npiece of these operators scales as 1/r^n, with r the relative separation of the\ntwo nucleons. We show that, when evaluated between the leading-order wave\nfunctions obtained in this effective theory, these two-nucleon operators are\nindependent of the cutoff used to renormalize the two-body problem for n=1 and\n2. However, for n greater than or equal to 3 general arguments about the\nshort-distance behavior of the leading-order deuteron wave function show that\nthe matrix element will diverge.",
"arxiv_id": "nucl-th/0605024",
"authors": [
"L. Platter",
"D. R. Phillips"
],
"categories": [
"nucl-th",
"hep-ph"
],
"doi": "10.1016/j.physletb.2006.08.053",
"journal_ref": "Phys.Lett.B641:164-170,2006",
"title": "Deuteron Matrix Elements in Chiral Effective Theory at Leading Order",
"url": "https://arxiv.org/abs/nucl-th/0605024"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "28a142b0-dbda-4539-a634-ba1253d66384",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}