Neutron Oscillations and the Parity Doubling Theorem

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/Mat...

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Autores principales:	Kazuo Fujikawa, Anca Tureanu
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	neutron-antineutron oscillations parity of Majorana fermions CP violation Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/05e084572c9d4a5abb267ad374c7d057
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spelling	oai:doaj.org-article:05e084572c9d4a5abb267ad374c7d0572021-11-25T19:07:33ZNeutron Oscillations and the Parity Doubling Theorem10.3390/sym131122022073-8994https://doaj.org/article/05e084572c9d4a5abb267ad374c7d0572021-11-01T00:00:00Zhttps://www.mdpi.com/2073-8994/13/11/2202https://doaj.org/toc/2073-8994We 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.Kazuo FujikawaAnca TureanuMDPI AGarticleneutron-antineutron oscillationsparity of Majorana fermionsCP violationMathematicsQA1-939ENSymmetry, Vol 13, Iss 2202, p 2202 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	neutron-antineutron oscillations parity of Majorana fermions CP violation Mathematics QA1-939
spellingShingle	neutron-antineutron oscillations parity of Majorana fermions CP violation Mathematics QA1-939 Kazuo Fujikawa Anca Tureanu Neutron Oscillations and the Parity Doubling Theorem
description	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.
format	article
author	Kazuo Fujikawa Anca Tureanu
author_facet	Kazuo Fujikawa Anca Tureanu
author_sort	Kazuo Fujikawa
title	Neutron Oscillations and the Parity Doubling Theorem
title_short	Neutron Oscillations and the Parity Doubling Theorem
title_full	Neutron Oscillations and the Parity Doubling Theorem
title_fullStr	Neutron Oscillations and the Parity Doubling Theorem
title_full_unstemmed	Neutron Oscillations and the Parity Doubling Theorem
title_sort	neutron oscillations and the parity doubling theorem
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/05e084572c9d4a5abb267ad374c7d057
work_keys_str_mv	AT kazuofujikawa neutronoscillationsandtheparitydoublingtheorem AT ancatureanu neutronoscillationsandtheparitydoublingtheorem
_version_	1718410257518034944

Neutron Oscillations and the Parity Doubling Theorem

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