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Title: Quantum three-body calculation of nonresonant triple-{alpha} reaction rate at low temperatures

Abstract

Triple-{alpha} reaction rate is re-evaluated by directly solving the three-body Schroedinger equation. The resonant and nonresonant processes are treated on the same footing using the continuum-discretized coupled-channels method for three-body scattering. An accurate description of the {alpha}-{alpha} nonresonant states significantly quenches the Coulomb barrier between the first two {alpha}-particles and the third {alpha}-particle. Consequently, the{alpha}-{alpha} nonresonant continuum states give a markedly larger contribution at low temperatures than that reported in previous studies. We show that Nomoto's method for three-body nonresonant capture processes, which is adopted in the NACRE compilation and many other studies, is a crude approximation of the accurate quantum three-body model calculation. We find an increase in triple-{alpha} reaction rate by about 20 orders of magnitude around 10{sup 7} K compared with the rate of NACRE.

Authors:
;  [1];  [1]
  1. Department of Physics, Kyushu University, Fukuoka 812-8581 (Japan)
Publication Date:
OSTI Identifier:
21426524
Resource Type:
Journal Article
Journal Name:
AIP Conference Proceedings
Additional Journal Information:
Journal Volume: 1269; Journal Issue: 1; Conference: OMEG-2010: 10. international symposium on origin of matter and evolution of galaxies, Osaka (Japan), 8-10 Mar 2010; Other Information: DOI: 10.1063/1.3485146; (c) 2010 American Institute of Physics; Journal ID: ISSN 0094-243X
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; ALPHA PARTICLES; ALPHA REACTIONS; APPROXIMATIONS; CAPTURE; COULOMB FIELD; COUPLED CHANNEL THEORY; NUCLEAR REACTION KINETICS; POTENTIAL ENERGY; SCATTERING; SCHROEDINGER EQUATION; THREE-BODY PROBLEM; CALCULATION METHODS; CHARGED PARTICLES; CHARGED-PARTICLE REACTIONS; DIFFERENTIAL EQUATIONS; ELECTRIC FIELDS; ENERGY; EQUATIONS; IONIZING RADIATIONS; KINETICS; MANY-BODY PROBLEM; NUCLEAR REACTIONS; PARTIAL DIFFERENTIAL EQUATIONS; RADIATIONS; REACTION KINETICS; WAVE EQUATIONS

Citation Formats

Ogata, Kazuyuki, Kan, Masataka, Kamimura, Masayasu, and RIKEN Nishina Center, Wako 351-0198. Quantum three-body calculation of nonresonant triple-{alpha} reaction rate at low temperatures. United States: N. p., 2010. Web. doi:10.1063/1.3485146.
Ogata, Kazuyuki, Kan, Masataka, Kamimura, Masayasu, & RIKEN Nishina Center, Wako 351-0198. Quantum three-body calculation of nonresonant triple-{alpha} reaction rate at low temperatures. United States. doi:10.1063/1.3485146.
Ogata, Kazuyuki, Kan, Masataka, Kamimura, Masayasu, and RIKEN Nishina Center, Wako 351-0198. Thu . "Quantum three-body calculation of nonresonant triple-{alpha} reaction rate at low temperatures". United States. doi:10.1063/1.3485146.
@article{osti_21426524,
title = {Quantum three-body calculation of nonresonant triple-{alpha} reaction rate at low temperatures},
author = {Ogata, Kazuyuki and Kan, Masataka and Kamimura, Masayasu and RIKEN Nishina Center, Wako 351-0198},
abstractNote = {Triple-{alpha} reaction rate is re-evaluated by directly solving the three-body Schroedinger equation. The resonant and nonresonant processes are treated on the same footing using the continuum-discretized coupled-channels method for three-body scattering. An accurate description of the {alpha}-{alpha} nonresonant states significantly quenches the Coulomb barrier between the first two {alpha}-particles and the third {alpha}-particle. Consequently, the{alpha}-{alpha} nonresonant continuum states give a markedly larger contribution at low temperatures than that reported in previous studies. We show that Nomoto's method for three-body nonresonant capture processes, which is adopted in the NACRE compilation and many other studies, is a crude approximation of the accurate quantum three-body model calculation. We find an increase in triple-{alpha} reaction rate by about 20 orders of magnitude around 10{sup 7} K compared with the rate of NACRE.},
doi = {10.1063/1.3485146},
journal = {AIP Conference Proceedings},
issn = {0094-243X},
number = 1,
volume = 1269,
place = {United States},
year = {2010},
month = {8}
}