We present a method to find the stationary solutions for fast flavor oscillations of a homogeneous dense neutrino gas. These solutions correspond to collective precession of all neutrino polarization vectors around a fixed axis in the flavor space on average, and are conveniently studied in the co-rotating frame. We show that these solutions can account for the numerical results of explicit evolution calculations, and that even with the simplest assumption of adiabatic evolution, they can provide the average survival probabilities to good approximation. We also discuss improvement of these solutions and their use as estimates of the effects of fast oscillations in astrophysical environments.

我们提出了一种寻找均匀致密中微子气体快速风味振荡的平稳解的方法。这些解对应于所有中微子极化矢量在风味空间中围绕固定轴的集体进动，平均而言，可以在同向旋转坐标系中方便地研究。我们表明，这些解决方案可以解释显式演化计算的数值结果，并且即使采用最简单的绝热演化假设，它们也可以提供良好近似的平均生存概率。我们还讨论了这些解决方案的改进以及它们作为对天体物理环境中快速振荡影响的估计的用途。