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Tests on $B-L$ symmetry breaking models are important probes to search fornew physics. One proposed model with $\Delta(B-L)=2$ involves the oscillationsof a neutron to an antineutron. In this paper a new limit on this process isderived for the data acquired from all three operational phases of the SudburyNeutrino Observatory experiment. The search was concentrated in oscillationsoccurring within the deuteron, and 23 events are observed against a backgroundexpectation of 30.5 events. These translate to a lower limit on the nuclearlifetime of $1.48\times 10^{31}$ years at 90% confidence level (CL) when norestriction is placed on the signal likelihood space (unbounded).Alternatively, a lower limit on the nuclear lifetime was found to be$1.18\times 10^{31}$ years at 90% CL when the signal was forced into a positivelikelihood space (bounded). Values for the free oscillation time derived fromvarious models are also provided in this article. This is the first search forneutron-antineutron oscillation with the deuteron as a target.

The search for neutron-antineutron oscillations at the Sudbury Neutrino Observatory