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>Expressions for Neutrino Wave Functions and Transition Probabilities at Three Neutrino Oscillations in Vacuum and Some of Their Applications
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Expressions for Neutrino Wave Functions and Transition Probabilities at Three Neutrino Oscillations in Vacuum and Some of Their Applications
We have considered three neutrino transitions and oscillations in the general case and obtained expressions for neutrino wave functions in three cases: with CP violation, without CP violations and the case when $\nu_e \leftrightarrow \nu_\tau$ transitions are absent (some works indicate on this possibility). Then using the existing experimental data some analysis has been fulfilled. This analysis definitely has shown that transitions $\nu_e \leftrightarrow \nu_\tau$ cannot be closed for the Solar neutrinos. However, this possibility may be realized by using the mechanism of resonance enhancement neutrino oscillations in matter (the Sun). But this possibility is not confirmed by the Solar neutrinos spectrum (the Solar neutrinos spectrum is not distorted) and the Day-Night effect (this effect is not observed). 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 $\beta \le 15^o \div 17^o$.
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机译:我们在一般情况下考虑了三个中微子的跃迁和振荡,并在以下三种情况下获得了中微子波函数的表达式:CP违规,CP违规以及$ \ nu_e \ leftrightarrow \ nu_ \ tau $跃迁不存在的情况(有些作品说明这种可能性)。然后利用现有的实验数据进行了一些分析。该分析明确表明,对于太阳中微子,转换$ \ nu_e \ leftrightarrow \ nu_ \ tau $无法关闭。但是,可以通过利用物质(太阳)中共振增强中微子振荡的机制来实现这种可能性。但是,太阳中微子光谱(太阳中微子光谱没有畸变)和昼夜效应(未观察到这种效应)并未确认这种可能性。已经发现,仅当$ \ nu_e,\ nu_ \ tau $的角度混合$ \ beta \ le 15 ^ o \ div 17 ^ o时,$ \ nu_e \ leftrightarrow \ nu_e $中微子转变的概率才是正定义值。 $。
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