Geodesic
Oscillations of particles in the~Standard Model
Teoretičeskaâ i matematičeskaâ fizika, Tome 192 (2017) no. 1, pp. 70-88

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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, indefinite-mass state, Poincaré group, Weyl algebra.
Mots-clés : neutrino oscillation, $SU(3)$ group 
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     author = {A. E. Lobanov},
     title = {Oscillations of particles in {the~Standard} {Model}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     number = {1},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2017_192_1_a4/}
}
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A. E. Lobanov. Oscillations of particles in the~Standard Model. Teoretičeskaâ i matematičeskaâ fizika, Tome 192 (2017) no. 1, pp. 70-88. http://geodesic.mathdoc.fr/item/TMF_2017_192_1_a4/