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

Most uncertainties regarding the theoretical study of the neutrinoless double-beta 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 0 nu beta beta decay of Te-130 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 2 nu beta beta-and the 0 nu beta beta-decay nuclear matrix elements of Xe-136. Finally, we report new nuclear matrix elements for the Te-130 considering the light neutrino exchange and heavy neutrino exchange mechanisms, alongside an overview of some recent values reported in the literature.