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Dewitt et al. (1973) derived a useful relation between the plasma screeningfactor for a reaction of two fusing ions and their chemical potentials, basedon the plasma pair distribution functions. We show that their result can bederived in a simpler, more straightforward way, by applying the principle ofdetailed balance, which also enables us to generalize the relation to reactionsinvolving $N$ fusing ions. In order to demonstrate the usefulness of applyingthe principle of detailed balance, we calculate the screening factor for the$pep$ reaction, $p+e+p\rightarrow ^{2}$D $+\nu_{e}$. For the plasma conditionsnear the centre of the Sun, the reaction is suppressed by roughly the sameamount by which the reaction $p+p\rightarrow ^{2}$D $+$ $e^{+}+\nu_{e}$ isenhanced. This effect may be measured in the near future.

Screening of fusion reactions from the principle of detailed balance and application to the $pep$ reaction