  If neutrino conversions within the Sun result in partial polarization of
initial solar neutrino fluxes, then a new opportunity arises to observe the
anti-\nu_e's in future neutrino experiments in the low energy region (such as
BOREXINO or HELLAZ) and thus to probe the Majorana nature of the neutrinos. The
\nu_e -> anti-\nu_e conversions may take place for low energy solar neutrinos
while being unobservable at the Kamiokande and Super-Kamiokande experiments.
