Symmetry Finder applied to the 1–3 mass eigenstate exchange symmetry

Abstract In a previous paper, Symmetry Finder (SF) method is proposed to find the reparametrization symmetry of the state-exchange type in neutrino oscillation in matter. It has been applied successfully to the 1–2 state exchange symmetry in the DMP perturbation theory, yielding the eight symmetries...

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Autor principal:	Hisakazu Minakata
Formato:	article
Lenguaje:	EN
Publicado:	SpringerOpen 2021
Materias:	Astrophysics QB460-466 Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
Acceso en línea:	https://doaj.org/article/0732ab69417b44db95974d33af8c1dbd
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spelling	oai:doaj.org-article:0732ab69417b44db95974d33af8c1dbd2021-11-28T12:11:46ZSymmetry Finder applied to the 1–3 mass eigenstate exchange symmetry10.1140/epjc/s10052-021-09810-51434-60441434-6052https://doaj.org/article/0732ab69417b44db95974d33af8c1dbd2021-11-01T00:00:00Zhttps://doi.org/10.1140/epjc/s10052-021-09810-5https://doaj.org/toc/1434-6044https://doaj.org/toc/1434-6052Abstract In a previous paper, Symmetry Finder (SF) method is proposed to find the reparametrization symmetry of the state-exchange type in neutrino oscillation in matter. It has been applied successfully to the 1–2 state exchange symmetry in the DMP perturbation theory, yielding the eight symmetries. In this paper, we apply the SF method to the atmospheric-resonance perturbation theory to uncover the 1–3 state relabeling symmetries. The pure 1–3 state symmetry takes the unique position that it is practically impossible to formulate in vacuum under the conventional choice of the flavor mixing matrix. In contrast, our SF method produces the sixteen 1–3 state exchange symmetries in matter. The relationship between the symmetries in the original (vacuum plus matter) Hamiltonian and the ones in the diagonalized system is discussed.Hisakazu MinakataSpringerOpenarticleAstrophysicsQB460-466Nuclear and particle physics. Atomic energy. RadioactivityQC770-798ENEuropean Physical Journal C: Particles and Fields, Vol 81, Iss 11, Pp 1-16 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Astrophysics QB460-466 Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
spellingShingle	Astrophysics QB460-466 Nuclear and particle physics. Atomic energy. Radioactivity QC770-798 Hisakazu Minakata Symmetry Finder applied to the 1–3 mass eigenstate exchange symmetry
description	Abstract In a previous paper, Symmetry Finder (SF) method is proposed to find the reparametrization symmetry of the state-exchange type in neutrino oscillation in matter. It has been applied successfully to the 1–2 state exchange symmetry in the DMP perturbation theory, yielding the eight symmetries. In this paper, we apply the SF method to the atmospheric-resonance perturbation theory to uncover the 1–3 state relabeling symmetries. The pure 1–3 state symmetry takes the unique position that it is practically impossible to formulate in vacuum under the conventional choice of the flavor mixing matrix. In contrast, our SF method produces the sixteen 1–3 state exchange symmetries in matter. The relationship between the symmetries in the original (vacuum plus matter) Hamiltonian and the ones in the diagonalized system is discussed.
format	article
author	Hisakazu Minakata
author_facet	Hisakazu Minakata
author_sort	Hisakazu Minakata
title	Symmetry Finder applied to the 1–3 mass eigenstate exchange symmetry
title_short	Symmetry Finder applied to the 1–3 mass eigenstate exchange symmetry
title_full	Symmetry Finder applied to the 1–3 mass eigenstate exchange symmetry
title_fullStr	Symmetry Finder applied to the 1–3 mass eigenstate exchange symmetry
title_full_unstemmed	Symmetry Finder applied to the 1–3 mass eigenstate exchange symmetry
title_sort	symmetry finder applied to the 1–3 mass eigenstate exchange symmetry
publisher	SpringerOpen
publishDate	2021
url	https://doaj.org/article/0732ab69417b44db95974d33af8c1dbd
work_keys_str_mv	AT hisakazuminakata symmetryfinderappliedtothe13masseigenstateexchangesymmetry
_version_	1718408120521195520

Symmetry Finder applied to the 1–3 mass eigenstate exchange symmetry

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