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Fast Neutrino Flavor Conversion Modes in Multidimensional Core-collapse Supernova Models: the Role of the Asymmetric Neutrino Distributions
Sajad Abbar, Huaiyu Duan, Kohsuke Sumiyoshi, Tomoya Takiwaki, Maria Cristina Volpe
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A dense neutrino gas, such as the one anticipated in the supernova environment, can experience fast neutrino flavor conversions on scales much shorter than those expected in vacuum probably provided that the angular distributions of νₑ and ν̅ₑ cross each other. We perform a detailed investigation of the neutrino angular distributions obtained by solving the Boltzmann equations for fixed matter profiles of some representative snapshots during the post-bounce phase of core-collapse supernovae in multidimensional calculations of an 11.2M_⊙ and a 27M_⊙ progenitor models. Although the 11.2M_⊙ model features νₑ - ν̅ₑ angular crossings and the associated fast modes at different time snapshots, the 27M_⊙ model does not show any crossings within the decoupling region. We show that this can be understood by studying the multipole components of the neutrino distributions. In fact, there is a higher chance for the occurrence of νₑ - ν̅ₑ angular crossings for the zones where the multipole components of the neutrino distributions are strong enough. We also show that there can exist more than one crossings between the angular distributions of νₑ and ν̅ₑ. In addition, apart from the crossings within the neutrino decoupling region, there is a class of νₑ-ν̅ₑ angular crossings which appears very deep inside the proto-neutron star.
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