Abstract
The excitement which goes with theoretical efforts towards the calculation of NME for DBD is, of course, due to the remarkable achievements of the active experimental groups. It is our pleasure and our honor to thank Profs. Ettore Fiorini and Frank Avignone for their life-long efforts devoted to the experimental exploration of DBD transitions. We wish for both of them many years of new contributions and inspirations.The calculation of nuclear matrix elements (NME) for double beta decay transitions (DBD) relies upon several approximations. The purpose of this note is to review some of these approximations, and their impact upon the NME. We shall present our results, which have been obtained in the framework of the proton-neutron quasiparticle random phase approximation (pnQRPA), and we shall focus on short range correlations, pairing, and symmetry effects.
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