Screening in Thermonuclear Reaction Rates in the Sun

Details Screening in Thermonuclear Reaction Rates in the Sun Screening in Thermonuclear Reaction Rates in the Sun

1998-01-06

arxiv.org/abs/astro-ph/9801028v2

Astrophys.J.504:996-1001,1998

Astronomy and Astrophysics

Astrophysics

15 pages, 1 figure, submitted to ApJ. Acknowledgments, a footnote, and an explanation added. Additional information at www.sns

Scientific paper

10.1086/306116

We evaluate the effect of electrostatic screening by ions and electrons on low-Z thermonuclear reactions in the sun. We use a mean field formalism and calculate the electron density of the screening cloud using the appropriate density matrix equation of quantum statistical mechanics. Because of well understood physical effects that are included for the first time in our treatment, the calculated enhancement of reaction rates does not agree with the frequently used interpolation formulae. Our result does agree, within small uncertainties, with Salpeter's weak screening formula. If weak screening is used instead of the commonly employed screening prescription of Graboske et al., the predicted $^8$B neutrino flux is increased by 7% and the predicted chlorine rate is increased by 0.4 SNU.

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