We consider the transformation properties of fermions under the discrete symmetries CPT, CP, and C in the presence of B − L violation. We thus generalize the analysis of the known properties of Majorana neutrinos, probed via neutrinoless double beta decay, to include the case of Dirac fermions with B − L violation, which can be probed via neutron-antineutron oscillations. We show that the resulting CPT phase has implications for the interplay of neutron-antineutron oscillations with external fields and sources and consider the differences in the Majorana dynamics of neutrinos and neutrons in the context of theories with self-conjugate isospin I = 0 and I = 1/2 fields.
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We acknowledge partial support from the Department of Energy Office of Nuclear Physics under Contract No. DE-FG02-96ER40989. The work of S. G. was performed, in part, at the Aspen Center for Physics, which is supported by the National Science Foundation Grant No. PHY-1066293, and at the Institute of Nuclear Theory (INT).
Gardner, Susan and Yan, Xinshuai, "CPT, CP, and C Transformations of Fermions, and Their Consequences, in Theories with B − L Violation" (2016). Physics and Astronomy Faculty Publications. 435.