Physics – Nuclear Physics
Scientific paper
Feb 2000
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2000phrvc..61b5801b&link_type=abstract
Physical Review C (Nuclear Physics), Volume 61, Issue 2, February 2000, id.025801
Physics
Nuclear Physics
22
Radiative Capture, Scattering Theory, Optical And Diffraction Models, Direct Reactions
Scientific paper
The first three terms of a Taylor expansion of the astrophysical S factor are determined in the potential model of radiative-capture reactions. As input, the radial Schrödinger equation and its inhomogeneous energy derivatives are solved at zero energy. The radial wave function and its energy derivatives are obtained by matching the solutions of these equations with the corresponding exact asymptotic forms. Explicit expressions are derived for the S factor and for its first and second derivatives at zero energy. The same algorithm allows one to accurately determine the first terms of the effective-range expansion. In particular, the effective-range formula converges much faster than the Schwinger-Bethe formula. The method is illustrated with potential-model descriptions of the 3He(α,γ)7Be, 6Li(p,γ)7Be, 7Be(p,γ)8B, and 16O(p,γ)17F reactions.
Baye Daniel
Brainis Edouard
No associations
LandOfFree
Zero-energy determination of the astrophysical S factor and effective-range expansions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Zero-energy determination of the astrophysical S factor and effective-range expansions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Zero-energy determination of the astrophysical S factor and effective-range expansions will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-1801433