Pairing instabilities in neutrino plasmas arise only with occupation number discontinuities and are spurious artifacts of energy discretization that disappear in the continuum.
Neutrino-antineutrino correlations in dense anisotropic media
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abstract
We derive the most general evolution equations describing in-medium (anti)neutrino propagation in the mean-field approximation. In particular, we consider various types of neutrino-antineutrino mixing, for both Dirac and Majorana fields, resulting either from nontrivial pair correlations or from helicity coherence due to the nonvanishing neutrino masses. We show that, unless the medium is spatially homogeneous and isotropic, these correlations are sourced by the usual neutrino and antineutrino densities. This may be of importance in astrophysical environments such as core-collapse supernovae.
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In anisotropic neutrino gases, νν-bar pairing instabilities emerge when the excessive pair-occupation number distribution changes sign, producing pair conversions at growth rates comparable to fast flavor instabilities.
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Neutrino-antineutrino superfluidity
Pairing instabilities in neutrino plasmas arise only with occupation number discontinuities and are spurious artifacts of energy discretization that disappear in the continuum.
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Collective neutrino-antineutrino pair oscillations
In anisotropic neutrino gases, νν-bar pairing instabilities emerge when the excessive pair-occupation number distribution changes sign, producing pair conversions at growth rates comparable to fast flavor instabilities.