Examination of unitarity condition (positive definiteness of expression for transition probabilities) at three neutrino oscillations in vacuum

2007/07/30 by Х. М. Бештоев, Beshtoev, Kh. M.
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Neutrino Physics Research

paper · pdf · doi:10.48550/arxiv.0707.4427

openalex publication_date 2007/07/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This work has shown that at strict fulfilment of condition Δm²_{1 3} = Δm²_{1 2} + Δm²_{2 3} the expression for probability of ν_e → ν_e transitions P_{νe → νe}(t) is positively defined at every values of θ and β while at any arbitrarily small deviation from this condition it becomes negative. In order to make this expression for probability transitions positively defined, it is necessary to put a limitation on angle mixing β at fixed value of θ= 32.45^o (i.e. the value for β must be β≤ 15^o ÷17^o).

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