arXiv 1809.091372018-09hep-phastro-ph.SR

集体中微子振荡的简正模分析

Normal-mode Analysis for Collective Neutrino Oscillations

Sagar Airen, Francesco Capozzi, Sovan Chakraborty, Basudeb Dasgupta, Georg Raffelt, Tobias Stirner

备注：: minor textual clarifications, matches published version
发表信息：: JCAP 12 (2018) 019
DOI：: 10.1088/1475-7516/2018/12/019

摘要：

在相互作用的中微子气体中，味道相干的集体模式出现，可以是传播的，也可以是不稳定的。我们推导出一般色散关系的线性制度，取决于中微子的能量和角度分布。基本尺度是真空振荡频率$ω=Δm^2/(2E)$、中微子-中微子相互作用能$μ=\sqrt{2}G_{\rm F} n_ν$和物质势$λ=\sqrt{2}G_{\rm F} n_e$。集体模式需要非零的$μ$，并且甚至对于$ω=0$（“快模式”）也可以是动态的，或者它们可能需要$ω\not=0$（“慢模式”）。不稳定快模的增长速率本身可以是快的（与$ω$无关），也可以是慢的（被$\sqrt{|ω/μ|}$抑制）。我们澄清的味道混合，这是忽略集体模式的识别，但必须触发集体味运动的作用。需要大的物质效应来提供味道演化的近似固定点，而需要物质和/或中微子的空间或时间变化作为触发，即，以将质量项提供的扰动转化为种子稳定或不稳定的风味波。我们给出了明确的例子来说明这些观点。

英文摘要：

In an interacting neutrino gas, collective modes of flavor coherence emerge that can be propagating or unstable. We derive the general dispersion relation in the linear regime that depends on the neutrino energy and angle distribution. The essential scales are the vacuum oscillation frequency $ω=Δm^2/(2E)$, the neutrino-neutrino interaction energy $μ=\sqrt{2}G_{\rm F} n_ν$, and the matter potential $λ=\sqrt{2}G_{\rm F} n_e$. Collective modes require non-vanishing $μ$ and may be dynamical even for $ω=0$ ('fast modes'), or they may require $ω\not=0$ ('slow modes'). The growth rate of unstable fast modes can be fast itself (independent of $ω$) or can be slow (suppressed by $\sqrt{|ω/μ|}$). We clarify the role of flavor mixing, which is ignored for the identification of collective modes, but necessary to trigger collective flavor motion. A large matter effect is needed to provide an approximate fixed point of flavor evolution, while spatial or temporal variations of matter and/or neutrinos are required as a trigger, i.e., to translate the disturbance provided by the mass term to seed stable or unstable flavor waves. We work out explicit examples to illustrate these points.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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