This article is cited in 17 papers

Oscillations of particles in the Standard Model

A. E. Lobanov

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

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

DOI: 10.4213/tmf9233

 English version: Theoretical and Mathematical Physics, 2017, 192:1, 1000–1015

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