We study the unique characteristics of neutrino bursts from the black-hole-forming collapse of non-rotational massive stars, which is a definite branch among other core-collapse supernovae. We clarify that the neutrino signals from the failed supernovae are short and energetic, being different from the ordinary supernova neutrinos, by performing the numerical simulations of the general relativistic neutrino-radiation hydrodynamics with the neutrino reactions rates. Based on the calculated spectra of neutrino emission, we predict that the number of neutrino detection at the Super-Kamiokande is large enough to discuss the detailed differences of the neutrino signals using the sets of equation of state including hyperons and quarks. Therefore, the massive stellar collapse with the short neutrino burst is an important target of neutrino astronomy to probe the properties of dense matter.
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