The use of RF buckets for ion storage in the NICA is discussed. After storage, the RF2 system bunches the beam at the 22nd harmonic. Under cooling and an adiabatic increase in the RF2 voltage, a bunch shortens to the point when it fits into the separatrix of the 66th harmonic. The bunch is then recaptured into the separatrix of the 66th harmonic of the RF3 system. Ion bunches with the needed experimental parameters are formed under further cooling and an adiabatic increase in the RF3 voltage. Parasitic collisions occur at the interaction point in the process of ion storage and bunching.