Particle quantum states with indefinite mass and neutrino oscillationsстатья
Информация о цитировании статьи получена из
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Дата последнего поиска статьи во внешних источниках: 20 мая 2019 г.
Аннотация:In this work we develop a mathematical formalism which allows
obtaining oscillation formula for neutrino of any energy. We
demonstrate that in the ultra-relativistic limit the results obtained
in this new approach agree with the previously used phenomenological
theory which is only applicable to ultra-relativistic neutrinos.
To this end we do the following. The Hilbert spaces of
particle states are constructed in such a way that the neutrinos
are combined in a multiplet with its components being considered
as different quantum states of a single particle. The same is done
for the charged leptons and the down- and up-type quarks. In
the theory based on the Lagrangian of the fermion sector of the
Standard Model modified in accordance with this construction,
the phenomenon of neutrino oscillations arises as a direct consequence
of the general principles of quantum field theory. Using
the example of the pion decay, when the resulting neutrino has to
be ultra-relativistic, it is shown that the neutrino states produced
in the decay process can be described by a superposition of states
with different masses and identical canonical momenta with very
high accuracy.