Neutrino Oscillations in the Model of Interaction of Spinor Fields with Zero-Range Potential Concentrated on a Plane

Symanzik’s approach to the description of quantum field systems in an inhomogeneous space-time is used to construct a model for the interaction of neutrino fields with matter. In this way, the problem of the influence of strong inhomogeneities of the medium on the processes of oscillations is consid...

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Autores principales:	Yury Pismak, Olga Shakhova
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	inhomogeneous space time in models of quantum field theory Dirac equation with singular potential 2-dimensional materials neutrino oscillations core-collapse supernovae Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/0f23a9beea4347f3b4d9288eacaafcec
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spelling	oai:doaj.org-article:0f23a9beea4347f3b4d9288eacaafcec2021-11-25T19:07:23ZNeutrino Oscillations in the Model of Interaction of Spinor Fields with Zero-Range Potential Concentrated on a Plane10.3390/sym131121802073-8994https://doaj.org/article/0f23a9beea4347f3b4d9288eacaafcec2021-11-01T00:00:00Zhttps://www.mdpi.com/2073-8994/13/11/2180https://doaj.org/toc/2073-8994Symanzik’s approach to the description of quantum field systems in an inhomogeneous space-time is used to construct a model for the interaction of neutrino fields with matter. In this way, the problem of the influence of strong inhomogeneities of the medium on the processes of oscillations is considered. As a simple example, a model of neutrino scattering on a material plane is investigated. Within this model, in the collisions of particles with planes, a special filtration mechanism can be formed. It has a significant impact on the dynamics of subsequent neutrino oscillations which are analogous to the Mikheev-Smirnov-Wolfenstein effect at propagation of these particles in an adiabatic medium. Taking into account the possibility of the filtration process in a highly inhomogeneous environment can be useful in planning and carrying out experimental studies of neutrino physics. It can also be considered by investigations of the role of neutrino in astrophysical processes by means of numerical simulations methods.Yury PismakOlga ShakhovaMDPI AGarticleinhomogeneous space time in models of quantum field theoryDirac equation with singular potential2-dimensional materialsneutrino oscillationscore-collapse supernovaeMathematicsQA1-939ENSymmetry, Vol 13, Iss 2180, p 2180 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	inhomogeneous space time in models of quantum field theory Dirac equation with singular potential 2-dimensional materials neutrino oscillations core-collapse supernovae Mathematics QA1-939
spellingShingle	inhomogeneous space time in models of quantum field theory Dirac equation with singular potential 2-dimensional materials neutrino oscillations core-collapse supernovae Mathematics QA1-939 Yury Pismak Olga Shakhova Neutrino Oscillations in the Model of Interaction of Spinor Fields with Zero-Range Potential Concentrated on a Plane
description	Symanzik’s approach to the description of quantum field systems in an inhomogeneous space-time is used to construct a model for the interaction of neutrino fields with matter. In this way, the problem of the influence of strong inhomogeneities of the medium on the processes of oscillations is considered. As a simple example, a model of neutrino scattering on a material plane is investigated. Within this model, in the collisions of particles with planes, a special filtration mechanism can be formed. It has a significant impact on the dynamics of subsequent neutrino oscillations which are analogous to the Mikheev-Smirnov-Wolfenstein effect at propagation of these particles in an adiabatic medium. Taking into account the possibility of the filtration process in a highly inhomogeneous environment can be useful in planning and carrying out experimental studies of neutrino physics. It can also be considered by investigations of the role of neutrino in astrophysical processes by means of numerical simulations methods.
format	article
author	Yury Pismak Olga Shakhova
author_facet	Yury Pismak Olga Shakhova
author_sort	Yury Pismak
title	Neutrino Oscillations in the Model of Interaction of Spinor Fields with Zero-Range Potential Concentrated on a Plane
title_short	Neutrino Oscillations in the Model of Interaction of Spinor Fields with Zero-Range Potential Concentrated on a Plane
title_full	Neutrino Oscillations in the Model of Interaction of Spinor Fields with Zero-Range Potential Concentrated on a Plane
title_fullStr	Neutrino Oscillations in the Model of Interaction of Spinor Fields with Zero-Range Potential Concentrated on a Plane
title_full_unstemmed	Neutrino Oscillations in the Model of Interaction of Spinor Fields with Zero-Range Potential Concentrated on a Plane
title_sort	neutrino oscillations in the model of interaction of spinor fields with zero-range potential concentrated on a plane
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/0f23a9beea4347f3b4d9288eacaafcec
work_keys_str_mv	AT yurypismak neutrinooscillationsinthemodelofinteractionofspinorfieldswithzerorangepotentialconcentratedonaplane AT olgashakhova neutrinooscillationsinthemodelofinteractionofspinorfieldswithzerorangepotentialconcentratedonaplane
_version_	1718410260473970688

Neutrino Oscillations in the Model of Interaction of Spinor Fields with Zero-Range Potential Concentrated on a Plane

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