Abstract
We investigate the impact of the nonzero neutrino splitting and elastic neutrino-nucleon collisions on fast neutrino oscillations. Our calculations confirm that a small neutrino mass splitting and the neutrino mass hierarchy have very little effect on fast oscillation waves. We also demonstrate explicitly that fast oscillations remain largely unaffected for the time/distance scales that are much smaller than the neutrino mean free path but are damped on larger scales. This damping originates from both the direct modification of the dispersion relation of the oscillation waves in the neutrino medium and the flattening of the neutrino angular distributions over time. Our work suggests that fast neutrino oscillation waves produced near the neutrino sphere can propagate essentially unimpeded which may have ramifications in various aspects of the supernova physics.
Highlights
Neutrino flavor oscillation is a quantum phenomenon caused by the misalignment of the weak-interaction states of the neutrinos in which they are produced and the eigenstates of their Hamiltonians
In an earlier study we have demonstrated that fast oscillation waves can spontaneously appear in collisionless dense neutrino media under suitable conditions and redistribute the electron lepton number (ELN) as the flavor waves propagate in space [31]
To verify the damping effects of the collisions that are presented in the previous section, we carried out a suite of calculations using the numerical schemes similar to Ref. [31] but with collisions
Summary
Neutrino flavor oscillation is a quantum phenomenon caused by the misalignment of the weak-interaction states of the neutrinos in which they are produced and the eigenstates of their Hamiltonians (see, e.g., Ref. [1] for a review). [22] for a review) These fast oscillations can occur in the region where neutrinos decouple from the matter and, may have a great impact on the supernova physics One can study the analytical structures of the dispersion relations of the neutrino media which distinguish various kinds flavor instabilities [26,27,28,29]. The validity of this approach has been verified in numerical simulations in both the linear and nonlinear regimes [30,31].
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