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The paradigm-changing possibility of collective neutrino-antineutrinooscillations was recently advanced in analogy to collective flavoroscillations. 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 thereis no off-diagonal refractive index between $\nu$ and $\overline\nu$ of asingle flavor of massless neutrinos. For a nonvanishing mass, collectivehelicity oscillations are possible, representing de-facto $\nu$--$\overline\nu$oscillations in the Majorana case. However, such phenomena are suppressed bythe smallness of neutrino masses as discussed in the previous literature.

Collective neutrino-antineutrino oscillations in dense neutrino environments?