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The problem of double beta decay is reviewed with emphasis on its relevance to lepton number conservation. Recently, the ratio of the double beta-decay half-lives of ^128Te and ^130Te has been measured in a geological experiment and a limit for the ratio of the neutrinoless rate to the total rate for ^82Se decay has been obtained from a direct-detection experiment. For the first time, these results show conclusively that double beta decay is not primarily a lepton-number-violating neutrinoless process. However, they also do not agree with calculations which assume that only lepton-number-conserving two-neutrino double beta decay occurs. The conclusion that lepton number conservation is violated is suggested by limited experimental information. By considering contributions to the total rate from both the two-neutrino and the neutrinoless channels, we obtain data which are consistent with a lepton nonconservation parameter of order =3. 510^-5. Roughly the same value of is obtained by assuming that the decay occurs either via lepton emission from two nucleons or via emission from a resonance in the nucleus.
Bryman et al. (Sun,) studied this question.