Irene Tamborra, Bernhard Mueller, Lorenz Huedepohl, Hans-Thomas Janka, Georg Raffelt
To study the capabilities of supernova neutrino detectors, the instantaneous spectra are often represented by a quasi-thermal distribution of the form f (E) = E^alpha e^{-(alpha+1) E/E_{av}} where E_{av} is the average energy and alpha a numerical parameter. Based on a spherically symmetric SN model with full Boltzmann neutrino transport we have, at a few representative post-bounce times, re-converged the models with vastly increased energy resolution to test the fit quality. For our examples, the spectra are well represented by such a fit in the sense that the counting rates for a broad range of target nuclei, sensitive to different parts of the spectrum, are reproduced very well. Therefore, the first few energy moments of numerical spectra hold enough information to forecast the response of multi-channel supernova neutrino detection.
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http://arxiv.org/abs/1211.3920
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