We study the effects produced by interactions among neutrinos upon extra-galactic neutrino-fluxes. We have assumed a separable type of pair interactions and performed a transformation to a quasi-particle mean field followed by a Tamm–Damcoff diagonalization. In doing so, we have adopted techniques originated in the quantum many-body problem, and adapted them to this specific case. The solutions of the associated eigenvalue problem provide us with energies and amplitudes which are then used to construct the neutrino response functions at finite density and temperature. The formalism is applied to the description of neutrinos produced in a SN environment.

中文翻译：

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天体物理系统中的中微子对相互作用

我们研究了中微子之间的相互作用对银河系外中微子通量的影响。我们假设了一种可分离类型的对相互作用，并对准粒子平均场进行了转换，然后进行了 Tamm-Damcoff 对角化。在这样做的过程中，我们采用了起源于量子多体问题的技术，并使其适应这种特定情况。相关特征值问题的解为我们提供了能量和振幅，然后用于构建有限密度和温度下的中微子响应函数。形式主义适用于描述在 SN 环境中产生的中微子。