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arXiv 0904.0075hep-phastro-ph.HE
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超新星中中微子的矩方程

Moment equations of neutrinos in supernova

Wei Liao

摘要:

我们导出了一系列描述中微子在超新星中运动和味变的矩方程。在超新星中发现了中微子密度矩阵的一系列特殊的矩。中微子的发射角分布由这一系列矩描述。利用这些矩展开中微子方程,得到了中微子的矩方程。我们发现这些矩具有很好的收敛性,并且可以将无穷级数的方程截断为具有少量矩的方程。使用一个小的力矩方程组,所需的计算能力减少了约两个数量级相比,在多角度模拟。这些方程大大简化了中微子非线性味变换的研究。还考虑了中微子的双味系统,得到了描述中微子味极化矢量的新方程。

英文摘要:

We derive a series of moment equations describing the motion and flavor transformation of neutrinos in supernova. We find a particular series of moments of neutrino density matrix in supernova. The emission angle distribution of neutrinos is described by this series of moments. We expand the equation of neutrinos using these moments and obtain moment equations. We find that these moments have very good property of convergence and the infinite series of equations can be truncated to equations with a small set of moments. Using a small set of moment equations the required computational power is reduced by about two orders of magnitude compared to that in multi-angle simulation. The study on non-linear flavor transformation of neutrinos is substantially simplified using these equations. Two flavor system of neutrinos is also considered and new equations describing the flavor polarization vectors of neutrinos are found.

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