arXiv 1209.54882012-09hep-ph

中微子振荡的剖析

An Anatomy of Neutrino Oscillations

W-Y. Pauchy Hwang

备注：: 4 figures

摘要：

我们考虑中微子振荡;一个没有明确身份的粒子，一个给定味道的中微子实际上不满足狄拉克方程（用于定义质量本征态和质量本征值）。这就改变了对中微子振荡的基本处理，狄拉克旋量被定义为质量本征态，而味态只能被定义为（狄拉克方程的）质量本征态的线性组合。尽管中微子质量很小，但在一次反应或一次衰变中几个中微子质量的影响，例如可能违反能量动量守恒，不应该被忽视。在这些振荡中微子的来源中，我们指出，超高能宇宙射线（UHECR），如能量为$10^{18}\, eV$或更高的质子，通常被认为是相当稳定的，可以捕获，在物质介质中，电子转换成电子类中微子和旁观者中子。这将是UHECR起源中最重要的中微子源。

英文摘要：

We ponder about neutrino oscillations; a particle without a clear identity, a neutrino of a given flavor in fact does not satisfy the Dirac equation (which is used to define the mass eigen-states and mass eigen-values). This alters the basic treatment of neutrino oscillations, in that the Dirac spinors are defined as the mass eigen-states while the flavor states can only be given as linear combinations of the mass eigen-states (of Dirac equations). Even though neutrino masses are tiny, the impacts of several neutrino masses in a single reaction or a single decay, such as possible violation of the energy-momentum conservation, should not be overlooked. Among those sources of oscillating neutrinos, we point out that the ultra high energy cosmic rays (UHECR's) such as the proton of energy $10^{18}\, eV$ or higher, used to think of being rather stable, can capture, in the matter media, an electron to convert into an electron-like neutrino and a spectator neutron. This would be the most important neutrino source of the UHECR origin.

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英文摘要：

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