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arXiv 1003.2853hep-ph
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三味中微子振荡的独立交叉近似

On the Independent Crossing Approximation in Three Flavor Neutrino Oscillations

K. Yamamoto

摘要:

在像超新星这样的高密度物质中,在高能量下,中微子有两个点可以发生非绝热跃迁。利用标准三味方案中的振荡参数的当前值,两个非绝热转变可以被认为是独立的,即,两个可以分别用两味形式主义来处理。然而,在新物理学出现的情况下,一般来说,这种独立性是否成立还不清楚。我们通过假设中微子能量的假设范围,并通过改变标准情况下的混合角和质量平方差来研究这个问题。我们发现独立交叉近似的情况下,打破了一些不切实际的范围内的质量平方差和混合角。我们还讨论了这种独立性的标准。

英文摘要:

In dense matter like the Supernovae and at high energy, neutrinos have two points where the nonadiabatic transitions could occur. With the present values of the oscillation parameters in the standard three flavor scenario, two nonadiabatic transitions can be regarded as independent, i.e., two can be treated by the two flavor formalism separately. However, in the presence of new physics, it is not clear in general whether such independence holds. We examine this question by assuming hypothetical range of the neutrino energy and by varying the mixing angles and the mass squared differences in the standard case. We found the cases where Independent Crossing Approximation breaks down for some unrealistic range of the mass squared difference and the mixing angle. We also discuss the criterion which gives such independence.

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