dorsal/arxiv
View SchemaThree-body resonant radiative capture reactions in astrophysics
| Authors | L. V. Grigorenko, M. V. Zhukov |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0502035 |
| URL | https://arxiv.org/abs/nucl-th/0502035 |
| DOI | 10.1103/PhysRevC.72.015803 |
| Journal | Phys.Rev. C72 (2005) 015803 |
Abstract
We develop the formalism based on the S-matrix for $3 \to 3$ scattering to derive the direct three-body resonant radiative capture reaction rate. Within this formalism the states, which decay only/predominantly directly into three-body continuum, should also be included in the capture rate calculations. %The results obtained indicate that some theoretical calculations are %incomplete. Basing on the derivation, as well as on the modern experimental data and theoretical calculations concerning $^{17}$Ne nucleus, we significantly update the reaction rate for $^{15}$O($2p$,$\gamma$)$^{17}$Ne process in explosive environment. We also discuss possible implementations for the $^{18}$Ne($2p$,$\gamma$)$^{20}$Mg, $^{38}$Ca($2p$,$\gamma$)$^{40}$Ti, and $^4$He($n\alpha$,$\gamma$)$^{9}$Be reactions.
{
"annotation_id": "0443c729-8bf3-4e38-8dc1-550ee30540da",
"date_created": "2026-03-02T18:00:05.025000Z",
"date_modified": "2026-03-02T18:00:05.025000Z",
"file_hash": "c8e7d8b1111aa086f61f5929ec9a7fc9ab272e68bc907c1525f80961f8ecf341",
"private": false,
"record": {
"abstract": "We develop the formalism based on the S-matrix for $3 \\to 3$ scattering to\nderive the direct three-body resonant radiative capture reaction rate. Within\nthis formalism the states, which decay only/predominantly directly into\nthree-body continuum, should also be included in the capture rate calculations.\n%The results obtained indicate that some theoretical calculations are\n%incomplete. Basing on the derivation, as well as on the modern experimental\ndata and theoretical calculations concerning $^{17}$Ne nucleus, we\nsignificantly update the reaction rate for $^{15}$O($2p$,$\\gamma$)$^{17}$Ne\nprocess in explosive environment. We also discuss possible implementations for\nthe $^{18}$Ne($2p$,$\\gamma$)$^{20}$Mg, $^{38}$Ca($2p$,$\\gamma$)$^{40}$Ti, and\n$^4$He($n\\alpha$,$\\gamma$)$^{9}$Be reactions.",
"arxiv_id": "nucl-th/0502035",
"authors": [
"L. V. Grigorenko",
"M. V. Zhukov"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.72.015803",
"journal_ref": "Phys.Rev. C72 (2005) 015803",
"title": "Three-body resonant radiative capture reactions in astrophysics",
"url": "https://arxiv.org/abs/nucl-th/0502035"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "a6c0e644-2a2c-4343-a13a-4ed65cb9c138",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}