Spherically Statistical Tests on the Angular Distributions of Electrons of the IMB events associated with SN 1987A

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概要

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• Using various statistical methods, many investigators have claimed on the basis of the polar angle "cos θ" distribution of electrons from neutrinos emitted from SN 1987A that the IMB data seem to have a non-isotropic distribution, whereas the Kamiokande data show an isotropic distribution. They assert that it is difficult to explain the distribution only by the capture process: ν^^-_e+p→n+e^+. However, they do not seem to have succeeded in testing spherical distributions using both the polar and azimuthal angles because they calculate using only the polar angle while keeping the azimuthal angle uniform a priori. Also, the azimuthal angle distribution of the IMB events has been affected by the lack of tracks due to the failure at the high-voltage supply to a part of the PMTs (Photo Multiplier Tubes) at the time of the supernova explosion. Taking into account the effect of the lack of tracks, and using a test for the mean direction of the spherical data, we found a significance probability of 12.2% for an isotropic cos 0 distribution. In addition to this, the expected distribution from scattering off electrons for anti-neutrino + proton absorption may be not perfectly isotropic, although the deviation is small. For the expected distribution with the approximate form 1 + 0.13・cos θ which peaks slightly forward at the typical energies of the IMB events (〜30 MeV), we obtained a significance probability of 25.5% by the similar test for the mean direction on the sphere using R. (z component of the resultant length for the data of events), whereas the IMB group has given only few % significance using the Smirnov-Cramer-von Mises test. The significance shows that the IMB data can be accepted with such the non-uniform distribution. The energy dependence of the expected distribution shows the IMB events to peak slightly forward and the Kamiokande events with a mean energy of 〜20 MeV to be distributed uniformly. We can therefore conclude that both angular distributions observed by the IMB and Kamiokande groups do not contradict the assumption that all events are due to ν^^-_e+p→n+e^ in accordance with the standard model of a supernova explosion.

• 近畿大学の論文
• 1993-01-30

著者

• Kitamura T

  Shinshu Univ. Nagano Prefecture Jpn

• Konishi T.

  近畿大学

• Tsuji K.

  近畿大学

• Chikawa Michiyuki

  近畿大学

• Chikawa M

  Kinki Univ. Higashi‐osaka Jpn

• Tsuji K

  近畿大学

• Konishi T

  近畿大学

• Chikawa M.

  近畿大学理工学総合研究所

• kitamura T.

  近畿大学理工学総合研究所

• Nakatsuka T.

  Research Center for Information Sciences, Nagoya Women University

• Konishi S.

  Education Center for Information Processing, Tezukayama University

• Nakatsuka T

  Reg Biol. Hit

• Konishi S

  Mitsubishi Kagaku Inst. Life Sci.

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