We consider the transformation properties of fermions under the discrete symmetries CPT, CP, and C in the presence of BL 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 BL 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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Published in Physical Review D, v. 93, issue 9, 096008, p. 1-10.

© 2016 American Physical Society

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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).