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Approximate penetration factors for nuclear reactions of astrophysical interestThe ranges of validity of approximations of P(l), the penetration factor which appears in the parameterization of nuclear-reaction cross sections at low energies and is employed in the extrapolation of laboratory data to even lower energies of astrophysical interest, are investigated analytically. Consideration is given to the WKB approximation, P(l) at the energy of the total barrier, approximations derived from the asymptotic expansion of G(l) for large eta, approximations for small values of the parameter x, applications of P(l) to nuclear reactions, and the dependence of P(l) on channel radius. Numerical results are presented in tables and graphs, and parameter ranges where the danger of serious errors is high are identified.
Document ID
19870056732
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Humblet, J.
(California Institute of Technology, Pasadena; Liege, Universite de l'Etat, Belgium)
Fowler, W. A.
(California Institute of Technology Pasadena, United States)
Zimmerman, B. A.
(California Institute of Technology Jet Propulsion Laboratory, Pasadena, United States)
Date Acquired
August 13, 2013
Publication Date
May 1, 1987
Publication Information
Publication: Astronomy and Astrophysics
Volume: 177
Issue: 1-2
ISSN: 0004-6361
Subject Category
Astrophysics
Accession Number
87A44006
Funding Number(s)
CONTRACT_GRANT: NSF PHY-85-05682
Distribution Limits
Public
Copyright
Other

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