真空中三种中微子振荡的么正性条件(跃迁几率表达式的正定性)的检验
Examination of unitarity condition (positive definiteness of expression for transition probabilities) at three neutrino oscillations in vacuum
摘要:
这项工作表明,在严格满足条件$Δm^2_{1 3} = Δm^2_{1 2} + Δm^2_{2 3}$的概率$ν_e \to ν_e$过渡$P_{ν_e \to ν_e}(t)$的表达式是积极的定义在每个值的$θ$和$β$,而在任何任意小的偏离这个条件,它成为负的。为了使该概率转换的表达式被正定义,有必要将角度混合$β$限制在$θ= 32.45^o$的固定值(即,$β$的值必须是$β\le 15^o ÷17^o$)。
英文摘要:
This work has shown that at strict fulfilment of condition $Δm^2_{1 3} = Δm^2_{1 2} + Δm^2_{2 3}$ the expression for probability of $ν_e \to ν_e$ transitions $P_{ν_e \to ν_e}(t)$ 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 $β\le 15^o ÷17^o$).
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