超新星turbulence的有限尺寸源效应和中微子跃迁几率的关联
Finite size source effects and the correlation of neutrino transition probabilities through supernova turbulence
摘要：
描述具有给定能量的中微子沿着某条射线通过湍流超新星的跃迁概率是每条射线唯一的随机变量。如果中微子的来源是一个点，那么所有具有给定能量并在同一时间发射的中微子，在某个遥远的位置被检测到，都会看到相同的湍流轮廓，因此它们的跃迁概率会完全相关。但是，如果源具有有限的尺寸，那么从源的不同点发射的中微子所看到的轮廓将经历不同的湍流，并且跃迁概率的相关性将降低。在本文中，我们研究的中微子跃迁概率的相关性，通过湍流超新星配置文件作为一个功能的发射点之间的分离使用各向同性和各向异性的功率谱的随机场用于模拟湍流。下一个银河系超新星中微子爆发的高密度共振混合通道中的光谱特征可能会被大振幅湍流强烈遮蔽，当它进入信号时，由于源的有限尺寸，而低密度和非共振混合通道中的特征的存在可能会持续下去，确切的量取决于湍流的各向异性程度。
英文摘要：
(Abridged) The transition probabilities describing the evolution of a neutrino with a given energy along some ray through a turbulent supernova are random variates unique to each ray. If the source of the neutrinos were a point then all neutrinos of a given energy and emitted at the same time which were detected in some far off location would have seen the same turbulent profile therefore their transition probabilities would be exactly correlated. But if the source has a finite size then the profiles seen by neutrinos emitted from different points at the source will have seen different turbulence and the correlation of the transition probabilities will be reduced. In this paper we study the correlation of the neutrino transition probabilities through turbulent supernova profiles as a function of the separation between the emission points using an isotropic and an anisotropic power spectrum for the random field used to model the turbulence. The spectral features in the high density resonance mixing channel of the next Galactic supernova neutrino burst may be strongly obscured by large amplitude turbulence when it enters the signal due to the finite size of the source while the presence of features in the low density and non resonant mixing channels may persist, the exact amount depending upon the degree of anisotropy of the turbulence.
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