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We study in this letter the behavior of the neutrinoless double beta decaynuclear matrix elements (NME's) in the framework of the Interacting ShellModel. We analize them in terms of the total angular momentum of the decayingneutron pair and as a function of the seniority truncations in the nuclear wavefunctions. This point of view turns out to be very adequate to gauge theaccuracy of the NME's predicted by different nuclear structure models. Inaddition, it gives back the due protagonism in this process to the pairinginteraction, the interaction which is responsible for the very existence ofdouble beta decay emitters. We show that low seniority approximations,comparable to those implicit in the quasiparticle RPA in an spherical basis,tend to overestimate the values of the NME's in several decays.

The influence of pairing on the nuclear matrix elements of the neutrinoless double beta decays