Flavor stability analysis of dense supernova neutrinos with flavor-dependent angular distributions

摘要: Numerical simulations of the supernova (SN) neutrino self-induced flavor conversions, associated with neutrino-neutrino interactions in deepest stellar regions, have been typically carried out assuming "bulb-model". In this approximation, neutrinos are taken to be emitted half-isotropically by a common neutrinosphere. In recent Ref. \cite{Mirizzi:2011tu} we removed this assumption introducing flavor-dependent angular distributions for SN neutrinos, as suggested core-collapse simulations. We found that in this case a novel multi-angle instability flavor transitions can arise. this work perform an extensive study this effect, carrying linearized flavor stability analysis different SN neutrino energy fluxes and distributions, both normal inverted neutrino mass hierarchy. confirm spectra nu species which cross space (where F_{\nu_e}=F_{\nu_x} and F_{\bar\nu_e}=F_{\bar\nu_x}) present significant enhancement flavor instability, shift onset conversions at smaller radii respect isotropic emission. also illustrate how qualitative (and sometimes quantitative) understanding the dynamics these systems follows from analysis.