Expressions for neutrino wave functions and transition probabilities at three neutrino transitions (oscillations) in

Kh. M. Beshtoev

Matematičeskoe modelirovanie, Tome 19 (2007) no. 9, pp. 3-14

Résumé

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 $\nu_e\leftrightarrow\nu_\tau$ transitions are absent $\beta(\theta_{13})=0$ (some works indicate on this possibility) were obtained. Also were computed transition probabilities for the case of $CP$ conservation and when direct $\nu_e\leftrightarrow\nu_\tau$ transitions are absent i.e., $\beta(\theta_{13})=0$. It was found out that the probability of $\nu_e\leftrightarrow\nu_e$ neutrino transitions is positive defined value only if the angle of $\nu_e,\nu_\tau$ mixing $\beta15^\circ\div17^\circ$.