Neutron mass: Measurement of theH1(n,γ)H2γray and revised values for selected neutron binding energies

The ${}_{}{}^1{}_{}{}^{}\mathrm{H}(n,\gamma ){}_{}{}^2{}_{}{}^{}\mathrm{H}$ reaction $\gamma$-ray energy was obtained from measurement of the energy difference between it and the 2185-keV $\gamma$ ray emitted in the ${\beta }^{-}$ decay of ${}_{}{}^{144}{}_{}{}^{}\mathrm{Ce}$-${}_{}{}^{144}{}_{}{}^{}\mathrm{Pr}$. Based on the $\gamma$-ray energy value of 2223.247 ± 0.017 keV obtained from this measurement, a value of 2224.564 ± 0.017 keV was determined for the binding energy of the deuteron $S_n\left({}_{}{}^2{}_{}{}^{}\mathrm{H}\right)$. By combining this binding energy value with published mass differences of doublets involving neighboring isotopes and ${}_{}{}^1{}_{}{}^{}\mathrm{H}$ and ${}_{}{}^2{}_{}{}^{}\mathrm{H}$, values of 6257.268 ± 0.024, 4946.329 ± 0.024, 8176.483 ± 0.040, and 10833.297 ± 0.038 keV were obtained for the neutron binding energies of ${}_{}{}^3{}_{}{}^{}\mathrm{H}$, ${}_{}{}^{13}{}_{}{}^{}\mathrm{C}$, ${}_{}{}^{14}{}_{}{}^{}\mathrm{C}$, and ${}_{}{}^{15}{}_{}{}^{}\mathrm{N}$, respectively, together with a value of 8071.367 ± 0.029 keV for the neutron mass excess $n-1\mathrm{}$.