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Title: Triple-alpha reaction rate studied with the Faddeev three-body formalism

Abstract

The triple-alpha (3{alpha}) reaction, {sup 4}He+{sup 4}He+{sup 4}He{yields}{sup 12}C+{gamma}, which plays a significant role in the stellar evolution scenarios, is studied in terms of a three-alpha (3-{alpha}) model. The reaction rate of the process is calculated via an inverse process, 3-{alpha} photodisintegration of a {sup 12}C nucleus. Both of 3-{alpha} bound and-continuum states are calculated by a Faddeev method with accommodating the long range Coulomb interaction. With being adjusted to the empirical E2-strength for {sup 12}C(0{sub 2}{sup +}){yields}{sup 12}C(2{sub 1}{sup +}) transition, results of the 3{alpha} reaction rate <{alpha}{alpha}{alpha}> at higher temperature (T > 10{sup 8} K), where the reaction proceeds mainly through the {sup 8}Be and {sup 12}C(0{sub 2}{sup +}) resonant states, almost agree with those of the Nuclear Astrophysics Compilation of Reaction Rates (NACRE). On the other hand, calculated values of <{alpha}{alpha}{alpha}> are about 10{sup 3} times larger than the NACRE rate at a low temperature (T= 10{sup 7} K), which means our results are remarkably smaller than recent CDCC results.

Authors:
 [1]
  1. Hosei University, 2-17-1 Fujimi, Chiyoda, Tokyo 102-8160 (Japan)
Publication Date:
OSTI Identifier:
22075753
Resource Type:
Journal Article
Journal Name:
AIP Conference Proceedings
Additional Journal Information:
Journal Volume: 1484; Journal Issue: 1; Conference: Conference on origin of matter and evolution of galaxies 2011, Wako (Japan), 14-17 Nov 2011; Other Information: (c) 2012 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0094-243X
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; ALPHA PARTICLES; ALPHA REACTIONS; ASTROPHYSICS; BERYLLIUM 8; CARBON 12; HELIUM 4; HELIUM 4 TARGET; NUCLEAR REACTION KINETICS; NUCLEOSYNTHESIS; PHOTONUCLEAR REACTIONS; STAR EVOLUTION; THREE-BODY PROBLEM

Citation Formats

Ishikawa, Souichi. Triple-alpha reaction rate studied with the Faddeev three-body formalism. United States: N. p., 2012. Web. doi:10.1063/1.4763404.
Ishikawa, Souichi. Triple-alpha reaction rate studied with the Faddeev three-body formalism. United States. doi:10.1063/1.4763404.
Ishikawa, Souichi. Mon . "Triple-alpha reaction rate studied with the Faddeev three-body formalism". United States. doi:10.1063/1.4763404.
@article{osti_22075753,
title = {Triple-alpha reaction rate studied with the Faddeev three-body formalism},
author = {Ishikawa, Souichi},
abstractNote = {The triple-alpha (3{alpha}) reaction, {sup 4}He+{sup 4}He+{sup 4}He{yields}{sup 12}C+{gamma}, which plays a significant role in the stellar evolution scenarios, is studied in terms of a three-alpha (3-{alpha}) model. The reaction rate of the process is calculated via an inverse process, 3-{alpha} photodisintegration of a {sup 12}C nucleus. Both of 3-{alpha} bound and-continuum states are calculated by a Faddeev method with accommodating the long range Coulomb interaction. With being adjusted to the empirical E2-strength for {sup 12}C(0{sub 2}{sup +}){yields}{sup 12}C(2{sub 1}{sup +}) transition, results of the 3{alpha} reaction rate <{alpha}{alpha}{alpha}> at higher temperature (T > 10{sup 8} K), where the reaction proceeds mainly through the {sup 8}Be and {sup 12}C(0{sub 2}{sup +}) resonant states, almost agree with those of the Nuclear Astrophysics Compilation of Reaction Rates (NACRE). On the other hand, calculated values of <{alpha}{alpha}{alpha}> are about 10{sup 3} times larger than the NACRE rate at a low temperature (T= 10{sup 7} K), which means our results are remarkably smaller than recent CDCC results.},
doi = {10.1063/1.4763404},
journal = {AIP Conference Proceedings},
issn = {0094-243X},
number = 1,
volume = 1484,
place = {United States},
year = {2012},
month = {11}
}