  A new class of topological mesoscopic phenomena in absence of external
magnetic field (meso-nucleo-spinics)is predicted, which is based on combined
action of the nonequilibrium nuclear spin population and charge carriers
spin-orbit interaction . As an example, we show that Aharonov-Bohm like
oscillations of the persistent current in GaAs/AlGaAs based mesoscopic rings
may exist, in the absence of the external magnetic field, provided that a
topologically nontrivial strongly nonequilibrium nuclear spin population is
created. This phenomenon is due to the breaking, via the spin-orbit coupling,
of the clock wise - anti clock wise symmetry of the charge carriers momentum,
which results in the oscillatory in time persistent current.
