Cross-section calculations forν¯e+d→n+p+ν¯e

The cross section of the reaction ${\overline{\nu }}_e+d\to n+p+{\overline{\nu }}_e$ has been calculated for an equilibrium fission spectrum as a function of the proton energy chosen to serve as a variable detection threshold. The results are intended to permit as accurate a determination of the neutral-current isovector axial-vector coupling constant as the experimental conditions permit. With the theoretically plausible constant $G_A=-1.49\mathrm{}\times {10}^{-11\mathrm{}}$ ${\mathrm{MeV}}^{-2\mathrm{}}$ and a most recent semiempirical equilibrium fission spectrum the total cross section is calculated to be 7.27 × ${10}^{-45\mathrm{}}$ ${\mathrm{cm}}^2$; half of this cross section leads to proton energies of 150 keV and above.