The deuteron binding energy extracted from the reaction H-1(n,gamma)H-2 is
reviewed with the exact relativistic formula, where the initial kinetic ene
rgy and the Doppler effect are taken into account. We find that the negligi
ble initial kinetic energy of the neutron could cause a significant uncerta
inty which is beyond the errors available up to now. Therefore, we suggest
an experiment which should include detailed information about the initial k
inetic energy and the detection angle. It could reduce discrepancies among
the recently reported values about the deuteron binding energy and pin down
the uncertainty due to the Doppler broadening of the gamma ray. [S0556-281
3(99)04606-3].