Shell model studies of the Te 130 neutrinoless double- β decay

Most uncertainties regarding the theoretical study of the neutrinoless double-β decay are related to the accuracy of the nuclear matrix elements that appear in the expressions of the lifetimes. We calculate the nuclear matrix elements for the 0νββ decay of Te130 in a shell model approach, using a recently proposed effective Hamiltonian. To ensure the reliability of the results, we investigate this Hamiltonian by performing calculations of spectroscopic quantities and comparing them to the latest experimental data available, and we analyze the 2νββ- and the 0νββ-decay nuclear matrix elements of Xe136. Finally, we report new nuclear matrix elements for the Te130 considering the light neutrino exchange and heavy neutrino exchange mechanisms, alongside an overview of some recent values reported in the literature.