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S-matrix calculation of the triple-alpha reactionAn S-matrix formalism is developed which can be applied to reactions in which electron screening is important, including three-body reactions and reactions involving weak interactions. The various regimes of the triple-alpha reactions are systematically discussed, and a new nonresonant regime at high densities is identified. Using the S-matrix formalism, an analytic expression is obtained for the screened triple-alpha reactions which is accurate for all temperatures and densities. The results are compared with those of Cameron (1959) and Nomoto et al. (1985), and the latter's expression for the unscreened reaction rate is verified. However, it is shown that the reaction rate in the pycnonuclear regime cannot be obtained from the unscreened rate using a screening factor, and that the results of Nomoto et al. therefore cannot be used in this regime.
Document ID
19870057184
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
External Source(s)
Authors
Fushiki, Ikko
(Harvard-Smithsonian Center for Astrophysics Cambridge, MA, United States)
Lamb, D. Q.
(Harvard-Smithsonian Center for Astrophysics, Cambridge, MA; Chicago, University IL, United States)
Date Acquired
August 13, 2013
Publication Date
June 1, 1987
Publication Information
Publication: Astrophysical Journal, Part 1
Volume: 317
ISSN: 0004-637X
Subject Category
Nuclear And High-Energy Physics
Accession Number
87A44458
Funding Number(s)
CONTRACT_GRANT: NAGW-246
CONTRACT_GRANT: NAGW-830
CONTRACT_GRANT: NAG8-563
CONTRACT_GRANT: NAG8-520
Distribution Limits
Public
Copyright
Other

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