Applications and the improvements of the N-K function for the analyses and observations of the high-energy cosmic neutrino and primary electrons

为了观察贝加尔湖和冰立方项目中的高能中微子，我们采用分析方法，通过在水或冰中产生的介子或电子雨来评估切伦科夫光子的横向分布。用乳剂室对欧洲核子研究中心200GeV的加速器电子束进行了宇宙射线电子谱的精确观测，证实了能量测定的误差在10%以内。在通过气球上空的大气时，对电子光谱形状的变化进行了评估，以获得来自暗物质起源的额外可能光谱。我们还估算了气球上空大气中产生的背景电子的精确数量。

We make analytic approaches to evaluate the lateral distributions of the Cherenkov Photons by muons or electron showers produced in the water or ice to observe the high-energy neutrino in the Baikal and IceCube Projects.For the precise observation of the cosmic-ray electron spectrum with our emulsion chambers, we confirm that the error of our energy determination is within 10% with the accelerator electron beam of 200GeV at CERN. The change of the spectral shape of electrons is evaluated during passing through the atmosphere over the balloons for an additional possible spectrum from the dark matter origin. We also estimate the precise amounts of background electrons produced in the atmosphere over the balloons.