Nuclear and particle physics aspects of the 2nbb-decay of 150Nd

A discussion is given on possible realization of the Single State Dominance (SSD) hypothesis in the case of the two-neutrino double beta decay(2nbb-decay) of 150Nd with 1^- ground state of the intermediate nucleus. We conclude that the SSD hypothesis is expected to be ruled out by precision measurement of differential characteristics of this process in running NEMO 3 or planed SuperNEMO experiments unlike some unknown low-lying 1^+ state of 150Pm does exist. This problem can be solved via (d,2He) charge-exchange experiment on 150Sm. Further, we address the question about possible violation of the Pauli exclusion principle for neutrinos and its consequences for the energy distributions of the 2nbb-decay of 150Nd. This phenomenon might be a subject of interest of NEMO 3 and SuperNEMO experiments as well.