Abstract
We present a parity-doublet theorem for the representation of the intrinsic parity of Majorana fermions, which is expected to be useful also in condensed matter physics, and it is illustrated to provide a criterion of neutron-antineutron oscillation in a Bardeen–Cooper–Schrieffer type of effective theory with baryon number-violating terms. The violation in the present effective theory causes no direct -violating effects in the oscillation itself, which is demonstrated by the exact solution, although it influences the neutron electric dipole moment in the leading order of small parameters. An analog of Bogoliubov transformation, which preserves and , is crucial in the analysis.
- Received 11 September 2016
DOI:https://doi.org/10.1103/PhysRevD.94.115009
© 2016 American Physical Society