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It has been recently pointed out that removing the axial symmetry in the multi-angle effects associated with the neutrino-neutrino interactions for supernova (SN) neutrinos, a new multi-azimuthal-angle (MAA) instability would arise. In particular, fo r a flux ordering $F_{ u_e} > F_{bar u_e} > F_{ u_x}$, as expected during the SN accretion phase, this instability occurs in the normal neutrino mass hierarchy. However, during this phase the ordinary matter density can be larger than the neutrino one, suppressing the self-induced
mircosoft-partner

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