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arXiv 1302.7201hep-ph
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太阳中微子昼夜不对称长期观测的解析处理

Analytical treatment of long-term observations of the day-night asymmetry for solar neutrinos

S. S. Aleshin, O. G. Kharlanov, A. E. Lobanov

摘要:

地球的密度分布在典型的太阳中微子(如铍-7和硼-8中微子)的双味振荡尺度下可以近似地被认为是分段连续的。这个相当普遍的假设似乎足以解析计算这种中微子的昼夜不对称因子。使用明确的时间平均程序,我们表明,在领先的顺序近似,这个因素是由电子密度在约一个振荡长度下的检测器,即在地壳(和上地幔的高能中微子)。我们还评估了地球内部结构对观测到的不对称性的影响,并表明它是被抑制的,主要来自于冬至和夏至附近观测到的中微子。因此,我们到达严格的间隔约束的不对称性,这是有效的相当广泛的一类地球模型。

英文摘要:

The Earth's density distribution can be approximately considered piecewise continuous at the scale of two-flavor oscillations of typical solar neutrinos, such as the beryllium-7 and boron-8 neutrinos. This quite general assumption appears to be enough to analytically calculate the day-night asymmetry factor for such neutrinos. Using the explicit time averaging procedure, we show that, within the leading-order approximation, this factor is determined by the electron density within about one oscillation length under the detector, namely, in the Earth's crust (and upper mantle for high-energy neutrinos). We also evaluate the effect of the inner Earth's structure on the observed asymmetry and show that it is suppressed and mainly comes from the neutrinos observed near the winter and summer solstices. As a result, we arrive at the strict interval constraint on the asymmetry, which is valid within quite a wide class of Earth models.

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