Antineutrino Disintegration of the Deuteron

The cross section for the antineutrino disintegration of the deuteron, ̃ \~ν+d→n+n+e⁺, is considered. The only important contribution to the cross section arises from a ¹S final nucleon state, and only the tensor part of the beta-interaction is effective. The matrix element can be evaluated by the effective-range formulation well known from calculations of the photomagnetic disintegration of the deuteron. The cross section is evaluated for three antineutrino energies: 5.5, 8.5, 13.5 Mev. The results for this process would be the same if the neutrino were a Majorana particle.