Rephasing Invariant for Three-Neutrino Oscillations Governed by a Non-Hermitian Hamiltonian

Rephasing Invariant for Three-Neutrino Oscillations Governed by a Non-Hermitian Hamiltonian

Time-reversal symmetry is broken for mixed and possibly unstable Dirac neutrino propagation through absorbing media. This implies that interplay between the neutrino mixing, refraction, absorption and/or decay can be described by non-Hermitian quantum dynamics. We derive an identity which sets up di...

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Main Authors: Dmitry V. Naumov, Vadim A. Naumov, Dmitry S. Shkirmanov
Format: Article
Language:English
Published: MDPI AG 2020-08-01
Series:Symmetry
Subjects:
neutrino oscillations in matter
rephasing invariant
neutrino absorption
Online Access:https://www.mdpi.com/2073-8994/12/8/1285
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spelling doaj-2f4c5b1e81a447149a81242957fd51772020-11-25T02:38:17ZengMDPI AGSymmetry2073-89942020-08-01121285128510.3390/sym12081285Rephasing Invariant for Three-Neutrino Oscillations Governed by a Non-Hermitian HamiltonianDmitry V. Naumov0Vadim A. Naumov1Dmitry S. Shkirmanov2JINR, Dubna 141980, RussiaJINR, Dubna 141980, RussiaJINR, Dubna 141980, RussiaTime-reversal symmetry is broken for mixed and possibly unstable Dirac neutrino propagation through absorbing media. This implies that interplay between the neutrino mixing, refraction, absorption and/or decay can be described by non-Hermitian quantum dynamics. We derive an identity which sets up direct connection between the fundamental neutrino parameters (mixing angles, <inline-formula><math display="inline"><semantics><mrow><mi>C</mi><mi>P</mi></mrow></semantics></math></inline-formula>-violating phase, mass-squared splittings) in vacuum and their effective counterparts in matter.https://www.mdpi.com/2073-8994/12/8/1285neutrino oscillations in matterrephasing invariantneutrino absorption
collection DOAJ
language English
format Article
sources DOAJ
author Dmitry V. Naumov
Vadim A. Naumov
Dmitry S. Shkirmanov
spellingShingle Dmitry V. Naumov
Vadim A. Naumov
Dmitry S. Shkirmanov
Rephasing Invariant for Three-Neutrino Oscillations Governed by a Non-Hermitian Hamiltonian
Symmetry
neutrino oscillations in matter
rephasing invariant
neutrino absorption
author_facet Dmitry V. Naumov
Vadim A. Naumov
Dmitry S. Shkirmanov
author_sort Dmitry V. Naumov
title Rephasing Invariant for Three-Neutrino Oscillations Governed by a Non-Hermitian Hamiltonian
title_short Rephasing Invariant for Three-Neutrino Oscillations Governed by a Non-Hermitian Hamiltonian
title_full Rephasing Invariant for Three-Neutrino Oscillations Governed by a Non-Hermitian Hamiltonian
title_fullStr Rephasing Invariant for Three-Neutrino Oscillations Governed by a Non-Hermitian Hamiltonian
title_full_unstemmed Rephasing Invariant for Three-Neutrino Oscillations Governed by a Non-Hermitian Hamiltonian
title_sort rephasing invariant for three-neutrino oscillations governed by a non-hermitian hamiltonian
publisher MDPI AG
series Symmetry
issn 2073-8994
publishDate 2020-08-01
description Time-reversal symmetry is broken for mixed and possibly unstable Dirac neutrino propagation through absorbing media. This implies that interplay between the neutrino mixing, refraction, absorption and/or decay can be described by non-Hermitian quantum dynamics. We derive an identity which sets up direct connection between the fundamental neutrino parameters (mixing angles, <inline-formula><math display="inline"><semantics><mrow><mi>C</mi><mi>P</mi></mrow></semantics></math></inline-formula>-violating phase, mass-squared splittings) in vacuum and their effective counterparts in matter.
topic neutrino oscillations in matter
rephasing invariant
neutrino absorption
url https://www.mdpi.com/2073-8994/12/8/1285
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AT dmitrysshkirmanov rephasinginvariantforthreeneutrinooscillationsgovernedbyanonhermitianhamiltonian
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