Particle quantum states with indefinite mass and neutrino oscillations

摘要

The Hilbert spaces of particle states are constructed in such a way that theneutrinos are combined in a multiplet with its components being considered asdifferent quantum states of a single particle. The same is done for the chargedleptons and the down- and up-type quarks. In a theory based on the Lagrangianof the fermion sector of the Standard Model modified in accordance with thisconstruction, the phenomenon of neutrino oscillations arises as a directconsequence of the general principles of quantum field theory. By the exampleof the pion decay it is shown that the states of the neutrino produced in thedecay process can be described by a superposition of states with differentmasses and identical canonical momenta with very high accuracy.