The Electron-Screening Correction for the Proton-Proton Reaction

Details The Electron-Screening Correction for the Proton-Proton Reaction The Electron-Screening Correction for the Proton-Proton Reaction

1996-12-21

arxiv.org/abs/astro-ph/9612209v2

Phys.Rev.C57:2756-2759,1998

Astronomy and Astrophysics

Astrophysics

8 pages, RevTeX, some modifications and extensions, to appear in Phys. Rev. C

Scientific paper

10.1103/PhysRevC.57.2756

We test the Salpeter formalism for the electron screening of the solar proton-proton fusion reaction by solving numerically the relevant Schrodinger equation. We evaluate exactly the square of the overlap integral of the two-proton wave function and the deuteron wave function and compare with the usual analytic approximation. The usual WKB solution agrees with the numerical result to $O(10^{-4})$. The WKB approximation should be even more precise for the other nuclear fusion reactions in the $pp$ chain and CNO cycles.

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