论文标题
中微子振幅分解：观察大气 - 太阳波干扰
Neutrino amplitude decomposition: Toward observing the atmospheric - solar wave interference
论文作者
论文摘要
观察到正确幅度的大气和太阳振荡波之间的干扰将提供瘦子三代结构的另一种体现。作为此类分析的先决条件，我们开发了一种将振荡$ s $矩阵分解为大气和太阳能振幅的方法。尽管最近在真空中成功提出了类似的方法，但是一旦尝试扩展到物质环境，它会带来高度非平凡的问题。即使对于无限物质的潜力，大气和太阳振荡波的固有混合物也会发生，从而使真空定义的简单扩展无法实现。我们利用一般的运动学结构以及对五个扰动框架的分析，其中已知的大气和太阳振荡的性质是了解麻烦的起源，如何应对困难的起源，并掌握了分解原则。然后，我们在这些框架中得出幅度分解公式，并讨论分解概率的属性。我们主要讨论$ν_μ\rightarrowν_{e} $ channel，但是与$ν_μ\rightarrowν_τ$通道的比较显示出有趣的差异。
Observation of the interference between the atmospheric and solar oscillation waves with the correct magnitude would provide another manifestation of the three-generation structure of leptons. As a prerequisite for such analyses we develop a method for decomposing the oscillation $S$ matrix into the atmospheric and solar amplitudes. Though the similar method was recently proposed successfully in vacuum, once an extension into the matter environment is attempted, it poses highly nontrivial problems. Even for an infinitesimal matter potential, inherent mixture of the atmospheric and solar oscillation waves occurs, rendering a simple extension of the vacuum definition untenable. We utilize general kinematic structure as well as analyses of the five perturbative frameworks, in which the nature of matter-dressed atmospheric and solar oscillations are known, to understand the origin of the trouble, how to deal with the difficulty, and to grasp the principle of decomposition. Then, we derive the amplitude decomposition formulas in these frameworks, and discuss properties of the decomposed probabilities. We mostly discuss the $ν_μ \rightarrow ν_{e}$ channel, but a comparison with the $ν_μ \rightarrow ν_τ$ channel reveals an interesting difference.
