Parity-doublet representation of Majorana fermions and neutron oscillation

Kazuo Fujikawa and Anca Tureanu
Phys. Rev. D 94, 115009 – Published 2 December 2016

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 ΔB=2 baryon number-violating terms. The CP violation in the present effective theory causes no direct CP-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 ΔB=2 parameters. An analog of Bogoliubov transformation, which preserves P and CP, is crucial in the analysis.

  • Received 11 September 2016

DOI:https://doi.org/10.1103/PhysRevD.94.115009

© 2016 American Physical Society

Physics Subject Headings (PhySH)

  1. Research Areas
  1. Techniques
Particles & Fields

Authors & Affiliations

Kazuo Fujikawa1,2 and Anca Tureanu1

  • 1Department of Physics, University of Helsinki, P.O. Box 64, FIN-00014 Helsinki, Finland
  • 2Quantum Hadron Physics Laboratory, RIKEN Nishina Center, Wako 351-0198, Japan

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Issue

Vol. 94, Iss. 11 — 1 December 2016

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