Statistical Tests as Spherical Data for Angular Distributions of Neutrinos Burst from SN 1987A

Abstract

[Abstract] Using some statistical methods, many investigators have claimed on the polar angle distribution of neutrinos emitted from SN1987A that the IMB data seems to be non-isotropic distribution, whereas the Kamiokande data shows isotropic distribution. It seems unable to be explained by only ν^^-_e+p→n+e^+(capture). They, however, haven\u27t used the statistical test method of spherical distributions in which both the polar and azimuthal angles must be utilized in polar co-ordinates. Also, the azimuthal angle distribution of the IMB burst has been affected by lacks of tracks owing to failed supplying high-voltage power to a part of the PMT at the SN explosion time. Taking into account the effect of lacks of tracks and using the Rayleigh test on spherical data, we find a significance probability of 12% for a uniform distribution. Accordingly, it is concluded all events of the IMB and Kamiokande observations are not in contrast to the assumption that all events are due to ν^^-_e+p→n+e^ in accordance with standard models of supernova explosion

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