Neutron Oscillations and the Parity Doubling Theorem

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dc.contributor.author Fujikawa, Kazuo
dc.contributor.author Tureanu, Anca
dc.date.accessioned 2021-11-25T15:59:54Z
dc.date.available 2021-11-25T15:59:54Z
dc.date.issued 2021-11-18
dc.identifier.citation Fujikawa, K.; Tureanu, A. Neutron Oscillations and the Parity Doubling Theorem. Symmetry 2021, 13, 2202.
dc.identifier.uri http://hdl.handle.net/10138/336756
dc.description.abstract We review several aspects of parity and CP violation in the framework of neutron-antineutron oscillations. We focus on the parity doubling theorem, which provides a criterion for neutron oscillation in the general theory with <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>Δ</mo><mi>B</mi><mo>=</mo><mn>2</mn></mrow></semantics></math></inline-formula> baryon number-violating interactions. We prove by explicit calculations that the violation of the conventional parity symmetry with <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msup><mi>P</mi><mn>2</mn></msup><mo>=</mo><mn>1</mn></mrow></semantics></math></inline-formula> is the necessary condition for neutron oscillations to happen. While the CP violation is not manifest in the oscillation, it is nevertheless intrinsic to the system, and it is transferred, by the mixing matrix, to the neutron interactions and potentially observable as a contribution to the electric dipole moment.
dc.publisher Multidisciplinary Digital Publishing Institute
dc.title Neutron Oscillations and the Parity Doubling Theorem
dc.date.updated 2021-11-25T15:59:54Z
dc.type.uri http://purl.org/eprint/entityType/JournalArticle
dc.type.uri http://purl.org/eprint/entityType/Expression
dc.type.uri http://purl.org/eprint/entityType/Expression

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