本征值：物质中中微子振荡的罗塞塔石碑
Eigenvalues: the Rosetta Stone for Neutrino Oscillations in Matter
摘要：
本文提出了一种精确计算物质中中微子振荡几率的新方法。我们利用“本征向量-本征值恒等式”来证明，给定本征值，物质中的所有混合角都令人惊讶地简单。物质中的CP破坏相可以由Toshev恒等式确定。然后，为了避免繁琐的表达式的确切的特征值，我们已经应用以前推导的微扰，近似特征值这个计划，并发现他们甚至比以前实现的更精确。我们还发现，这些特征值收敛的速度为五个数量级的微扰阶，这是以前实现的期望的平方。最后，我们提供了一个更新的速度与精度图振荡概率的问题，包括本文的方法。
英文摘要：
We present a new method of exactly calculating neutrino oscillation probabilities in matter. We leverage the "eigenvector-eigenvalue identity" to show that, given the eigenvalues, all mixing angles in matter follow surprisingly simply. The CP violating phase in matter can then be determined from the Toshev identity. Then, to avoid the cumbersome expressions for the exact eigenvalues, we have applied previously derived perturbative, approximate eigenvalues to this scheme and discovered them to be even more precise than previously realized. We also find that these eigenvalues converge at a rate of five orders of magnitude per perturbative order which is the square of the previously realized expectation. Finally, we provide an updated speed versus accuracy plot for oscillation probabilities in matter, to include the methods of this paper.
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