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Background: Heavy-ion induced two-nucleon transfer reactions are powerfultools to reveal peculiar aspects of the atomic nucleus, such as pairingcorrelations, single-particle and collective degrees of freedom, and more.Also, these processes are in competition with the direct meson exchange in thedouble charge exchange reactions, which have recently attracted great interestdue to their possible connection to neutrinoless double-beta decay. In thisframework, the exploration of two-nucleon transfer reactions in the 20Ne+116Cdcollision at energies above the Coulomb barrier is particularly relevant sincethe 116Cd nucleus is a candidate for the double-beta decay. Methods: Wemeasured the excitation energy spectra and absolute cross sections for the tworeactions using the MAGNEX large acceptance magnetic spectrometer to detect theejectiles. We performed direct coupled reaction channels and sequentialdistorted wave Born approximation calculations using the double folding S\~aoPaulo potential to model the initial and final state interactions. Thespectroscopic amplitudes for two- and singleparticle transitions were derivedby different nuclear structure approaches: microscopic large-scale shell model,interacting boson model-2 and quasiparticle random phase approximation.Results: The calculations are able to reproduce the experimental cross sectionsfor both two-neutron and twoproton transfer reactions. The role of couplingswith the inelastic channels are found to be important in the two-protontransfer case. A competition between the direct and the sequential process isfound in the reaction mechanism. For the two-proton transfer case, theinclusion of the 1g7/2 and 2d5/2 orbitals in the model space is crucial.

Analysis of two-nucleon transfer reactions in the 20Ne + 116Cd system at 306 MeV