  It is shown that an electron-neutrino beam, propagating in a background
plasma, can be decomposed into orbital momentum (OAM) states, similar to the
OAM photon states. Coupling between different OAM neutrino states, in the
presence of a plasma vortex, is considered. We show that plasma vorticity can
be transfered to the neutrino beam, which is relevant to the understanding of
the neutrino sources in astrophysics. Observation of neutrino OAM states could
eventually become possible.
