Abstract
The vacuum-polarization (VP) corrections to rates for nuclear-fusion reactions in the pp chain and in the CNO cycle are calculated. For the reactions of particular importance to the solar-neutrino problem, the $^{3}\mathrm{He}$${(}^{3}$He,2p${)}^{4}$He, $^{3}\mathrm{He}$(\ensuremath{\alpha},\ensuremath{\gamma}${)}^{7}$Be, $^{7}\mathrm{Be}$(p,\ensuremath{\gamma}${)}^{8}$B, and $^{14}\mathrm{N}$(p,\ensuremath{\gamma}${)}^{15}$O reactions, we find the magnitude of the effect to be less than 2%. The effect of VP on all the other reaction rates is expected to be of a similar order of magnitude. We discuss how these results affect the predicted fluxes of solar neutrinos.
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