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arXiv 1307.7625hep-phastro-ph.SR
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两个质量等级中的中微子味摆

Neutrino flavor pendulum in both mass hierarchies

Georg Raffelt, David de Sousa Seixas

摘要:

我们构造了一个简单的例子,在稠密的中微子气体中的自诱导味转换显示新的解决方案,违反了初始条件的对称性。我们的系统由两个相反的动量模1和2组成,每一个最初都被等密度的nu_e和反nu_e占据。限制解决方案的对称性下1 <->- 2允许通常的双峰不稳定性(“味摆”)在倒中微子质量层次(IH)和稳定性(无自诱导味转换)在正常层次(NH)。解除这种对称性限制允许在NH中出现的第二个类似的解决方案,其中模式1和2在风味空间中以相反的方向摆动。在初始条件下,任何对1-2对称性的微小偏离都会触发NH中新的不稳定性。这种效应对应于最近发现的超新星中微子通量的多方位角(MAA)不稳定性。这两种情况都明确表明,集体味振荡方程的解不需要继承初始条件的对称性,尽管这是普遍假设的。

英文摘要:

We construct a simple example for self-induced flavor conversion in dense neutrino gases showing new solutions that violate the symmetries of initial conditions. Our system consists of two opposite momentum modes 1 and 2, each initially occupied with equal densities of nu_e and anti-nu_e. Restricting solutions to symmetry under 1 <-> 2 allows for the usual bimodal instability ("flavor pendulum") in the inverted neutrino mass hierarchy (IH) and stability (no self-induced flavor conversion) in the normal hierarchy (NH). Lifting this symmetry restriction allows for a second pendulum-like solution that occurs in NH where the modes 1 and 2 swing in opposite directions in flavor space. Any small deviation from 1-2 symmetry in the initial condition triggers the new instability in NH. This effect corresponds to the recently identified multi-azimuth angle (MAA) instability of supernova neutrino fluxes. Both cases show explicitly that solutions of the equations of collective flavor oscillations need not inherit the symmetries of initial conditions, although this has been universally assumed.

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