Disassembling the nuclear matrix elements of the neutrinoless ββ decay Original Research Article

In this article we analyze the nuclear matrix elements (NME) of the neutrinoless double beta decays (0νββ) of the nuclei 48Ca, 76Ge, 82Se, 124Sn, 128Te, 130Te and 136Xe in the framework of the interacting shell model (ISM). We study the relative value of the different contributions to the NMEʹs, such as higher order terms in the nuclear current, finite nuclear size effects and short range correlations, as well as their evolution with the maximum seniority permitted in the wave functions. We discuss also the build-up of the NMEʹs as a function of the distance between the decaying neutrons. We calculate the decays to View the MathML source final states and find that these decays are at least 25 times more suppressed with respect to the ground state to ground state transition.