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Collective neutrino-antineutrino oscillations in dense neutrino environments?
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Collective neutrino-antineutrino oscillations in dense neutrino environments?
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The paradigm-changing possibility of collective neutrino-antineutrino oscillations was recently advanced in analogy to collective flavor oscillations. However, the amplitude for the backward scattering process $\nu_{\mathbf{p}_1}\overline\nu_{\mathbf{p}_2}\to\nu_{\mathbf{p}_2}\overline\nu_{\mathbf{p}_1}$ is helicity-suppressed and vanishes for massless neutrinos, implying that there is no off-diagonal refractive index between $\nu$ and $\overline\nu$ of a single flavor of massless neutrinos. For a nonvanishing mass, collective helicity oscillations are possible, representing de-facto $\nu$--$\overline\nu$ oscillations in the Majorana case. However, such phenomena are suppressed by the smallness of neutrino masses as discussed in the previous literature.
Forward citations
Cited by 4 Pith papers
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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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Flavomons in Matter Gradients: Ray Tracing and Amplitude Evolution
Matter gradients slow but do not suppress neutrino-mass-induced flavor instabilities, so flavomon ray tracing is required instead of local stability analysis alone.
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Internal pseudospin, lepton-number superselection, and neutrino--antineutrino coherence in massive neutral-fermion one-particle states
Three transformations on the four-state fixed-momentum neutrino space close an internal SU(2) algebra graded by lepton number and helicity, classifying Majorana masses and pseudo-Dirac splittings.
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Neutrino helicity oscillations in astrophysical environments: a many-body approach
Many-body neutrino calculations in simple momentum-state configurations yield helicity conversion probabilities orders of magnitude above mean-field results due to momentum exchange.
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