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JOURNALS // Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki // Archive

Pis'ma v Zh. Èksper. Teoret. Fiz., 2001 Volume 74, Issue 3, Pages 157–161 (Mi jetpl4175)

FIELDS, PARTICLES, AND NUCLEI

Neutrino mixing and leptonic $CP$ phase in neutrino oscillations

D. A. Ryzhikh, K. A. Ter-Martirosyan

Institute for Theoretical and Experimental Physics (Russian Federation State Scientific Center), Moscow

Abstract: Oscillations of the Dirac neutrinos of three generations in vacuum are considered with allowance made for the effect of the $CP$-violating leptonic phase (analogue of the quark $CP$ phase) in the lepton mixing matrix. The general formulas for the probabilities of neutrino transition from one sort to another in oscillations are obtained as functions of three mixing angles and the $CP$ phase. It is found that the leptonic $CP$ phase can, in principle, be reconstructed by measuring the oscillation-averaged probabilities of neutrino transition from one sort to another. The manifestation of the $CP$ phase as a deviation of the probabilities of direct processes from those of inverse processes is an effect that is practically unobservable as yet.

PACS: 14.60.Pq

Received: 15.12.2000
Revised: 02.07.2001


 English version:
Journal of Experimental and Theoretical Physics Letters, 2001, 74:3, 139–143

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