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arXiv 1507.08992hep-phastro-ph.HEnucl-th
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多角中微子线模型中的味不稳定性

Flavor instabilities in the multi-angle neutrino line model

Sajad Abbar, Huaiyu Duan, Shashank Shalgar

摘要:

在环境中微子存在下的中微子味振荡在本质上是非线性的,这导致了有趣的现象,尚未得到很好的理解。最近的研究表明,在二维双束中微子线模型中,小距离尺度上的非均匀中微子振荡模在较大的中微子密度下会比均匀模变得不稳定。我们发展了一个数值计算程序来求解具有连续中微子角分布的多角/束线模型中的中微子振荡。我们表明,非均匀振荡模式可以发生在更高的中微子密度比在双束模型中的多角度模型。我们还发现,在足够小的尺度上的非均匀模式可以是不稳定的,在更小的中微子密度与环境物质比没有,虽然一个较大的物质密度不移动的不稳定区域的均匀模式更高的中微子密度的线模型,因为它在一维超新星灯泡模型。我们的结果表明,非均匀的中微子振荡模式可能是难以处理的数值,因为寄生振荡的问题变得更加严重的振荡在较小的尺度。

英文摘要:

Neutrino flavor oscillations in the presence of ambient neutrinos is nonlinear in nature which leads to interesting phenomenology that has not been well understood. It was recently shown that, in the two-dimensional, two-beam neutrino Line model, the inhomogeneous neutrino oscillation modes on small distance scales can become unstable at larger neutrino densities than the homogeneous mode does. We develop a numerical code to solve neutrino oscillations in the multi-angle/beam Line model with a continuous neutrino angular distribution. We show that the inhomogeneous oscillation modes can occur at even higher neutrino densities in the multi-angle model than in the two-beam model. We also find that the inhomogeneous modes on sufficiently small scales can be unstable at smaller neutrino densities with ambient matter than without, although a larger matter density does shift the instability region of the homogeneous mode to higher neutrino densities in the Line model as it does in the one-dimensional supernova Bulb model. Our results suggest that the inhomogeneous neutrino oscillation modes can be difficult to treat numerically because the problem of spurious oscillations becomes more severe for oscillations on smaller scales.

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