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Neutral currents induced matter oscillations of electroweak-active (anti-)neutrinos to sterile neutrinos can explain the observed motion of pulsars. In contrast to a recently proposed explanation of the pulsar birth velocities based on the νμ,τ ↔ νe oscillations, the heaviest neutrino (either active or sterile) would have to have mass of order several keV.
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Kusenko et al. (1997) studied this question.
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