2012/06/14 by Х. М. Бештоев, Beshtoev, Kh. M.
Earth and Planetary Sciences · #Earth Systems and Cosmic Evolution #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph)
paper · pdf · doi:10.48550/arxiv.1206.3447
openalex publication_date 2012/06/14 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28
In the framework of the mass mixing scheme we have considered mixings and oscillations of νe, νμ, ντ neutrinos and obtained expressions for angle mixings and lengths of oscillations in dependence on components of the nondiagonal mass matrix. Then analysis of these obtained results was done by using modern experimental data on neutrino oscillations. It has been shown that in this approach the lengths of neutrino oscillations L2 3 and L1 3 are not compulsory to be equal. It means that the angle mixing θ1 3 can be not very small, i.e., L1 3 can be larger than L2 3. In the conventional approach L1 3 ≈ L2 3 (L1 2 ≫ L2 3) and angle mixing of θ1 3 is very small. Angle mixings θ2 3, θ1 2 are big. Then there ia a problem: why is mixing angle θ1 3 so small? A natural solution of the problem is to suppose that (m22 - m12) ≠ (m32 - m12) - (m32 - m22), then L1 3 > L2 3. It will be realized if there are 4 neutrino oscillations instead of 3 neutrino oscillations. Then the value of θ1 3 is necessary to search at distances more than L2 3.