Majorana Neutrino Superfluidity and Stability of Neutrino Dark Energy
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We demonstrate that Majorana neutrinos can form Cooper pairs due to long-range attractive forces and show BCS superfluidity in a class of mass varying neutrino dark energy models. We describe the condensates for Majorana neutrinos and estimate the value of the gap, critical temperature and Pippard coherence length for a simple neutrino dark energy model. In the strong coupling regime bosonic degree of freedom can become important and Bose-Einstein condensate may govern the dynamics for the mass varying neutrino models. Formation of the condensates can significantly alter the instability scenario in the mass varying neutrino models.
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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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