Statistics – Computation
Scientific paper
May 1987
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987a%26a...177..317h&link_type=abstract
Astronomy and Astrophysics (ISSN 0004-6361), vol. 177, no. 1-2, May 1987, p. 317-325. FNRS-supported research.
Statistics
Computation
4
Computational Astrophysics, Coulomb Collisions, Nuclear Astrophysics, Nuclear Reactions, Approximation, Asymptotic Methods, Cross Sections, Wave Functions, Wentzel-Kramer-Brillouin Method
Scientific paper
The 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.
Fowler William A.
Humblet J.
Zimmerman Barbara A.
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