Neutrino Wave Functions and Transition Probabilities at ThreeNeutrino Transitions (Oscillations) in Vacuum

Abstract


Three neutrino vacuum transitions and oscillations in the general case were considered and
expressions for neutrino wave functions in three cases: with CP violation, without CP violation
and the case when direct e $ transitions are absent,i.e., at (13) = 0 (some
works indicate on this possibility) were obtained. There were also computed transition probabilities
for the case of CP conservation and for absence of direct e $ transitions, i.e.
(13) = 0. It was shown that the probability Pe!e (t) at e $ e neutrino transitions is
definitely positive value if m2
13 = m2
12 + m2
23.

About the authors

Kh M Beshtoev

Joint Institute for Nuclear Research

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Copyright (c) 2008 Бештоев Х.М.

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