Future detection of a supernova neutrino burst by large underground detectors would give important information for the explosion mechanism of collapse-driven supernovae. We studied the statistical analysis for the future detection of a nearby supernova by using a numerical supernova model and realistic Monte Carlo simulations of detection by the Super-Kamiokande detector. We mainly discuss the detectability of the signatures of the delayed explosion mechanism in the time evolution of the lumil6 e nosity and spectrum. For a supernova at 10 kpc away from the Earth, we Ðnd not only that the signature is clearly discernible but also that the deviation of the energy spectrum from the Fermi-Dirac (FD) distribution can be observed. The deviation from the FD distribution would, if observed, provide a test for the standard picture of neutrino emission from collapse-driven supernovae. For the D \ 50 kpc case, the signature of the delayed explosion is still observable, but statistical Ñuctuation is too large to detect the deviation from the FD distribution. We also propose a method for statistical reconstruction of the time evolution of luminosity and spectrum from data, by which we can get a smoother time evolution l6 e and smaller statistical errors than by a simple, time-binning analysis. This method is useful especially when the available number of events is relatively small, e.g., a supernova in the LMC or SMC. A neutronization burst of produces about Ðve scattering events when D \ 10 kpc, and this signal is diffil e Ïs cult to distinguish from events. l6 e p

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We have analyzed the magnetic effects that may occur in rapidly rotating core collapse supernovae. We consider effects from both magnetic turbulence and the formation of magnetic bubbles. For magnetic turbulence we have made a perturbative analysis for our spherically symmetric core-collapse supernova model that incorporates the build up of magnetic field energy in the matter accreting onto the proto-neutron star shortly after collapse and bounce. This significantly modifies the pressure profile and increases the heating of the material above the proto-neutron star resulting in an explosion even in rotating stars that would not explode otherwise. Regarding magnetic bubbles we show that a model with an initial uniform magnetic field (∼ 10 8 ) G and uniform angular velocity of ∼ 0.1 rad s −1 can form magnetic bubbles due to the very non homologous nature of the collapse. It is estimated that the buoyancy of the bubbles causes matter in the proto-neutron star to rise, carrying neutrino-rich material to the neutron-star surface. This increases the neutrino luminosity sufficiently at early times to achieve a successful neutrino-driven explosion. Both magnetic mechanisms thus provide new means for initiating a Type II core-collapse supernova.