  We discuss the type of the general macroscopic parity-violating effects, when
there is the current along the vortex, which is concentrated in the vortex
core. We consider vortices in superfluids, which contain the Weyl points. In
the vortex core the positions of the Weyl points form the skyrmion structure.
We show that the mass current concentrated in such a core is provided by the
spectral flow through the Weyl points according to the Adler-Bell-Jackiw
equation for chiral anomaly.
