ИСТИНА

By applying both analytical and numerical techniques to collective oscillations of core-collapse supernova Majorana neutrinos, we demonstrate that at least within the single-angle scheme, the effect of the neutrino transition magnetic moment less than ~10^{-13}mu_B is extremely suppressed in the (anti)neutrino flavor spectra observed from the Earth. Our findings reveal the absence of the instability of collective oscillations triggered by the nonzero magnetic moment, which was claimed recently and which led to observable signatures of transition magnetic moments as tiny as 10^{-20} mu_B.