Radiative kaon capture on deuterium and the Lambda n scattering lengths

The photon spectrum from {ital K}{sup {minus}}{ital d}{r arrow}{Lambda}{ital n}{gamma} at rest has been measured for the first time. We obtained the branching ratio, in the end-point region, of (1.89{plus minus}0.12{plus minus}0.28){times}10{sup {minus}3} where the first error is statistical and the second is systematic. We have found that the shape of the photon energy spectrum is consistent with the distribution calculated by Workman and Fearing with {Lambda}{ital n} scattering lengths and effective ranges predicted by the Nijmegen group.