Quantum threebody calculation of nonresonant triple{alpha} reaction rate at low temperatures
Abstract
Triple{alpha} reaction rate is reevaluated by directly solving the threebody Schroedinger equation. The resonant and nonresonant processes are treated on the same footing using the continuumdiscretized coupledchannels method for threebody 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 threebody nonresonant capture processes, which is adopted in the NACRE compilation and many other studies, is a crude approximation of the accurate quantum threebody 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:

 Department of Physics, Kyushu University, Fukuoka 8128581 (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: OMEG2010: 10. international symposium on origin of matter and evolution of galaxies, Osaka (Japan), 810 Mar 2010; Other Information: DOI: 10.1063/1.3485146; (c) 2010 American Institute of Physics; Journal ID: ISSN 0094243X
 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; THREEBODY PROBLEM; CALCULATION METHODS; CHARGED PARTICLES; CHARGEDPARTICLE REACTIONS; DIFFERENTIAL EQUATIONS; ELECTRIC FIELDS; ENERGY; EQUATIONS; IONIZING RADIATIONS; KINETICS; MANYBODY PROBLEM; NUCLEAR REACTIONS; PARTIAL DIFFERENTIAL EQUATIONS; RADIATIONS; REACTION KINETICS; WAVE EQUATIONS
Citation Formats
Ogata, Kazuyuki, Kan, Masataka, Kamimura, Masayasu, and RIKEN Nishina Center, Wako 3510198. Quantum threebody 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 3510198. Quantum threebody calculation of nonresonant triple{alpha} reaction rate at low temperatures. United States. https://doi.org/10.1063/1.3485146
Ogata, Kazuyuki, Kan, Masataka, Kamimura, Masayasu, and RIKEN Nishina Center, Wako 3510198. Thu .
"Quantum threebody calculation of nonresonant triple{alpha} reaction rate at low temperatures". United States. https://doi.org/10.1063/1.3485146.
@article{osti_21426524,
title = {Quantum threebody calculation of nonresonant triple{alpha} reaction rate at low temperatures},
author = {Ogata, Kazuyuki and Kan, Masataka and Kamimura, Masayasu and RIKEN Nishina Center, Wako 3510198},
abstractNote = {Triple{alpha} reaction rate is reevaluated by directly solving the threebody Schroedinger equation. The resonant and nonresonant processes are treated on the same footing using the continuumdiscretized coupledchannels method for threebody 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 threebody nonresonant capture processes, which is adopted in the NACRE compilation and many other studies, is a crude approximation of the accurate quantum threebody 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},
url = {https://www.osti.gov/biblio/21426524},
journal = {AIP Conference Proceedings},
issn = {0094243X},
number = 1,
volume = 1269,
place = {United States},
year = {2010},
month = {8}
}