A. E. Lobanov, “Oscillations of particles in the Standard Model”, TMF, 192:1 (2017), 70–88; Theoret. and Math. Phys., 192:1 (2017), 1000

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Teoreticheskaya i Matematicheskaya Fizika, 2017, Volume 192, Number 1, Pages 70–88
DOI: https://doi.org/10.4213/tmf9233 (Mi tmf9233)

This article is cited in 17 scientific papers (total in 17 papers)

Oscillations of particles in the Standard Model

A. E. Lobanov

Faculty of Physics, Lomonosov Moscow State University, Moscow, Russia

Full-text PDF (501 kB) Citations (17)

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DOI: https://doi.org/10.4213/tmf9233

Abstract: We construct Hilbert spaces of particle states such that all neutrinos and also charged leptons and up and down quarks are united into multiplets and their components can be treated as different quantum states of a single particle. The phenomenon of neutrino oscillations arises in a theory based on the Lagrangian of the fermionic sector of the Standard Model modified according to the proposed approach.

Keywords: Standard Model, neutrino oscillation, indefinite-mass state, Poincaré group, $SU(3)$ group, Weyl algebra.

Received: 16.05.2016
Revised: 04.07.2016

English version:
Theoretical and Mathematical Physics, 2017, Volume 192, Issue 1, Pages 1000–1015
DOI: https://doi.org/10.1134/S0040577917070054

Bibliographic databases:

Document Type: Article

Language: Russian

Citation: A. E. Lobanov, “Oscillations of particles in the Standard Model”, TMF, 192:1 (2017), 70–88; Theoret. and Math. Phys., 192:1 (2017), 1000–1015

Citation in format AMSBIB

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Linking options:

https://www.mathnet.ru/eng/tmf9233

https://doi.org/10.4213/tmf9233

https://www.mathnet.ru/eng/tmf/v192/i1/p70

This publication is cited in the following 17 articles:

A. V. Chukhnova, “Violation of the $T$ invariance in the probabilities of spin–flavor transitions of neutrino characterized by a real mixing matrix”, Theoret. and Math. Phys., 217:3 (2023), 2005–2015
A. E. Lobanov, A. V. Chukhnova, “Discrete Symmetries in Neutrino Oscillations in a Dense Medium and an Electromagnetic Field”, Phys. Part. Nuclei Lett., 20:3 (2023), 473
A. V. Chukhnova, A. E. Lobanov, “T violation without complex entries in the lepton mixing matrix”, Phys. Rev. D, 105:7 (2022)
A. E. Lobanov, A. V. Chukhnova, “T-violation in neutrino oscillations”, J. Exp. Theor. Phys., 135:3 (2022), 312
A. V. Chukhnova, A. E. Lobanov, “Resonance enhancement of neutrino oscillations due to transition magnetic moments”, Eur. Phys. J. C, 81:9 (2021), 821
A. E. Lobanov, A. V. Chukhnova, “Asymmetry of the propagation of left-handed neutrinos in an inhomogeneous magnetic field”, J. Exp. Theor. Phys., 133:4 (2021), 515–523
Yu. Pismak, O. Shakhova, “Neutrino oscillations in the model of interaction of spinor fields with zero-range potential concentrated on a plane”, Symmetry-Basel, 13:11 (2021), 2180
A. V. Chukhnova, A. E. Lobanov, “Neutrino flavor oscillations and spin rotation in matter and electromagnetic field”, Phys. Rev. D, 101:1 (2020), 013003
I. P. Volobuev, V. O. Egorov, “Quantum field theory description of processes passing at finite space and time intervals”, Theoret. and Math. Phys., 199:1 (2019), 562–576
Quan Le Thien, Krause D.E., “Spin-independent two-neutrino exchange potential with mixing and cp violation”, Phys. Rev. D, 99:11 (2019), 116006
I. P. Volobuev, V. O. Egorov, “Neutrino oscillation processes with a change of lepton flavor in quantum field-theoretical approach”, J. Exp. Theor. Phys., 128:5 (2019), 713–719
A. V. Chukhnova, A. E. Lobanov, D. Melikhov, I. Volobuev, “Neutrino evolution in dense matter and electromagnetic field”, EPJ Web Conf., 222 (2019), 03001
A.E. Lobanov, “Particle quantum states with indefinite mass and neutrino oscillations”, Annals of Physics, 403 (2019), 82
I. P. Volobuev, “Quantum field-theoretical description of neutrino and neutral kaon oscillations”, Int. J. Mod. Phys. A, 33:13 (2018), 1850075
V. O. Egorov, I. P. Volobuev, “Neutrino oscillation processes in a quantum-field-theoretical approach”, Phys. Rev. D, 97:9 (2018), 093002
Chukhnova A.V., Lobanov A.E., Xxth International Seminar on High Energy Physics (Quarks-2018), Epj Web of Conferences, 191, eds. Volkova V., Zhezher Y., Levkov D., Rubakov V., Matveev V., E D P Sciences, 2018
Lobanov A.E., Chukhnova A.V., “Neutrino Oscillations in a Homogeneous Moving Medium”, Mosc. Univ. Phys. Bull., 72:5 (2017), 454–459

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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