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arXiv 0901.0790hep-phhep-thquant-ph
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两味中微子振荡的拓扑相位

Topological phase in two flavor neutrino oscillations

Poonam Mehta

摘要:

我们发现中微子味振荡公式中出现的相位具有几何和拓扑贡献。利用Pancharatnam关于非正交态间量子坍缩的公式,我们确定了双味中微子振荡公式中出现的一个拓扑相。这种量子坍缩自然地出现在中微子出现和存活概率的表达式中。我们的分析适用于中微子在真空中或通过物质传播。对于CP守恒的两种味的最小情形,我们的研究首次表明中微子物种的探测概率的中微子振荡公式有一个几何解释。

英文摘要:

We show that the phase appearing in neutrino flavor oscillation formulae has a geometric and topological contribution. We identify a topological phase appearing in the two flavor neutrino oscillation formula using Pancharatnam's prescription of quantum collapses between non-orthogonal states. Such quantum collapses appear naturally in the expression for appearance and survival probabilities of neutrinos. Our analysis applies to neutrinos propagating in vacuum or through matter. For the minimal case of two flavors with CP conservation, our study shows for the first time that there is a geometric interpretation of the neutrino oscillation formulae for the detection probability of neutrino species.

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