  Chiral Separation Effect (CSE) for systems that feature spin 3/2 fermions was
considered. For the self-consistent Adler's model with relativistic massless
Rarita-Schwinger fermions (RSA model), we found that the CSE conductivity is
five times larger than for massless Dirac fermions. For a model of four-fold
band crossing in Rarita-Schwinger-Weyl semimetals, in which massless fermions
with quasispin 3/2 exist, we calculated that the CSE conductivity is four times
larger than for Weyl fermions. We show that CSE conductivity for any
multi-degenerate Fermi point in topological semimetals is proportional to its
Chern number and is topologically protected. Along the calculations, we proved
an index theorem that relates Chern number of a Fermi-point and spectral
asymmetry of the corresponding Landau band structure. The assumption that CSE
for any system of chiral fermions is dictated by the corresponding Chern number
is found to be correct for RSA model (and for the Dirac fermions).
