Mikheyev-Smirnov-Wolfenstein Effect for Linear Electron Density

When the electron density is a linear function of distance, it is known that the MSW equations for two neutrino species can be solved in terms of known functions. It is shown here that more generally, for any number of neutrino species, these MSW equations can be solved exactly in terms of single in...

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Detalles Bibliográficos
Autores principales: Lehmann, Harry, Osland, Per, Wu, Tai Tsun
Lenguaje:eng
Publicado: 2000
Materias:
Particle Physics - Phenomenology
Acceso en línea:https://dx.doi.org/10.1007/s002200100394
http://cds.cern.ch/record/443836
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author Lehmann, Harry
Osland, Per
Wu, Tai Tsun
author_facet Lehmann, Harry
Osland, Per
Wu, Tai Tsun
author_sort Lehmann, Harry
collection CERN
description When the electron density is a linear function of distance, it is known that the MSW equations for two neutrino species can be solved in terms of known functions. It is shown here that more generally, for any number of neutrino species, these MSW equations can be solved exactly in terms of single integrals. While these integrals cannot be expressed in terms of known functions, some of their simple properties are obtained. Application to the solar neutrino problem is briefly discussed.
id cern-443836
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2000
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spelling cern-4438362023-03-28T02:31:24Zdoi:10.1007/s002200100394http://cds.cern.ch/record/443836engLehmann, HarryOsland, PerWu, Tai TsunMikheyev-Smirnov-Wolfenstein Effect for Linear Electron DensityParticle Physics - PhenomenologyWhen the electron density is a linear function of distance, it is known that the MSW equations for two neutrino species can be solved in terms of known functions. It is shown here that more generally, for any number of neutrino species, these MSW equations can be solved exactly in terms of single integrals. While these integrals cannot be expressed in terms of known functions, some of their simple properties are obtained. Application to the solar neutrino problem is briefly discussed.When the electron density is a linear function of distance, it is known that the MSW equations for two neutrino species can be solved in terms of known functions. It is shown here that more generally, for any number of neutrino species, these MSW equations can be solved exactly in terms of single integrals. While these integrals cannot be expressed in terms of known functions, some of their simple properties are obtained. Application to the solar neutrino problem is briefly discussed.hep-ph/0006213CERN-TH-2000-097CERN-TH-2000-097oai:cds.cern.ch:4438362000-06-19
spellingShingle Particle Physics - Phenomenology
Lehmann, Harry
Osland, Per
Wu, Tai Tsun
Mikheyev-Smirnov-Wolfenstein Effect for Linear Electron Density
title Mikheyev-Smirnov-Wolfenstein Effect for Linear Electron Density
title_full Mikheyev-Smirnov-Wolfenstein Effect for Linear Electron Density
title_fullStr Mikheyev-Smirnov-Wolfenstein Effect for Linear Electron Density
title_full_unstemmed Mikheyev-Smirnov-Wolfenstein Effect for Linear Electron Density
title_short Mikheyev-Smirnov-Wolfenstein Effect for Linear Electron Density
title_sort mikheyev-smirnov-wolfenstein effect for linear electron density
topic Particle Physics - Phenomenology
url https://dx.doi.org/10.1007/s002200100394
http://cds.cern.ch/record/443836
work_keys_str_mv AT lehmannharry mikheyevsmirnovwolfensteineffectforlinearelectrondensity
AT oslandper mikheyevsmirnovwolfensteineffectforlinearelectrondensity
AT wutaitsun mikheyevsmirnovwolfensteineffectforlinearelectrondensity

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