Nonlinear electron-screening corrections of stellar nuclear fusion rates are calculated analytically in the framework of the Debye-Hückel model and compared with the respective ones of Salpeter’s weak screening approximation. In typical solar conditions, the deviation from Salpeter’s screening factor is less than one percent, while for hotter stars such corrections turn out to be of the order of 1% only over the limits of the Debye-Hückel model. Moreover, an investigation of the impact of such nonlinear screening effects on the solar neutrino fluxes yields insignificant corrections for both the $\mathrm{pp}$ and $\mathrm{CNO}$ chain reactions.

• Received 20 December 1999

DOI:https://doi.org/10.1103/PhysRevC.61.055802