The observation1,2of neutrinos from the LMC supernova makes possible direct tests of the theory of supernova explosions and of properties of weakly interacting particles. Here we describe a combined analysis of the angular and energy distributions of the events observed in the Kamiokande and the 1MB detectors which determines the effective temperatures and fluxes of neutrinos and anti-neutrinos produced by the explosion. Our main result is that a simple model is consistent with the available data and in reasonable agreement with conventional models of supernova explosions. The parameters of the model are: a single temperature, T, of 4.1+1.0 -0.4 MeV, a flux of electron anti-neutrinos of (O.5-0.35 +0.2)×1010cm-2 [total energy in v̄e = (3.0+1.7 -1.4 × 1052 erg)], and a poorly determined flux of 'scattered' (see below) neutrinos = (0.2-5)× 1010cm-2. Several statistical tests were used to determine the acceptable range of these parameters. We have also set limits on possible high-temperature fluxes of neutrinos or anti-neutrinos that might result from matter oscillations3,4.
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