The Rate of the ProtonProton Reaction
Abstract
We reevaluate the matrix element for the protonproton reaction which is important for stellarevolution calculations and for the solarneutrino problem. We selfconsistently determine the effect of vacuum polarization on the matrix element by first correcting the lowenergy scattering data to account for vacuum polarization. We then calculate the protonproton wave function by integrating the Schrodinger equation with vacuum polarization included. We use improved data for protonproton scattering and for the deuteron wave function. We evaluate the uncertainties that are due to experimental error and estimate those that are due to theoretical inadequacies. We estimate the theoretical uncertainty by using six different deuteron potentials and five different protonproton potentials. Vacuum polarization decreases the calculated value by $0.6_{0.4}^{+0.1}$\%. The complete result is $\Lambda^2=6.92\times(1\pm0.002^{+0.014}_{0.009})$ where the first uncertainty is due to experimental errors and the second uncertainty is due to theoretical uncertainties. Our value of $\Lambda^2$ is 2\% smaller than the value obtained in 1969 by Bahcall and May. The improved calculations of the rate of the $pp$ reaction described here increase slightly the predicted event rates for the chlorine and the Kamiokande solarneutrino experiments.
 Publication:

The Astrophysical Journal
 Pub Date:
 January 1994
 DOI:
 10.1086/173612
 arXiv:
 arXiv:astroph/9305020
 Bibcode:
 1994ApJ...420..884K
 Keywords:

 Polarization;
 ProtonProton Reactions;
 Stellar Evolution;
 Stellar Models;
 Nuclear Fusion;
 Schroedinger Equation;
 Stellar Mass;
 Wave Functions;
 Astrophysics;
 ELEMENTARY PARTICLES;
 NUCLEAR REACTIONS;
 NUCLEOSYNTHESIS;
 ABUNDANCES;
 STARS: EVOLUTION;
 SUN: GENERAL;
 SUN: INTERIOR;
 Astrophysics;
 High Energy Physics  Phenomenology;
 Nuclear Theory
 EPrint:
 22 pages, (phyzzx.tex, 4 figures not included, available upon request), IASSNSHEP93/21, IASSNSAST93/20