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The deuteron binding energy extracted from the reaction${}^1H(n,\gamma){}^2H$ is reviewed with the exact relativistic formula, wherethe initial kinetic energy and the Doppler effect are taken into account. Wefind that the negligible initial kinetic energy of the neutron could cause asignificant uncertainty which is beyond the errors available up to now.Therefore, we suggest an experiment which should include the detailedinformations about the initial kinetic energy and the detection angle. It couldreduce discrepancies among the recently reported values about the deuteronbinding energy and pin down the uncertainty due to the Doppler broadening of$\gamma$ ray.Comment: 5 page

Importance of the Doppler effect for the determination of the deuteron binding energy