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In this work we study the simultaneous and sequential two-neutron transfermechanisms to the $^{28}$Si nucleus induced by (t,p) and ($^{18}$O, $^{16}$O)reactions. New experimental cross sections for the$^{28}$Si($^{18}$O,$^{16}$O)$^{30}$Si reaction at 84 MeV are also presented.Direct reaction calculations are carried out within the Exact Finite RangeCoupled Reaction Channel, for the simultaneous transfer of the two-neutroncluster, and the second order Distorted Wave Born Approximation, for thesequential transfer. Two different models are considered to describe thetwo-neutron cluster. The spectroscopic information was obtained from shellmodel calculation with {\it psdmod} interaction for the target overlaps wherethe 1p$_{3/2}$, 1p$_{1/2}$, 1d$_{3/2}$, 1d$_{5/2}$ and 2s$_{1/2}$ orbitals areincluded as valence sub-space. We show that simultaneous and sequentialtwo-neutron transfer are competing mechanisms for the population of the groundstate in $^{30}$Si. A systematic analysis of the two-neutron transfer inducedby the ($^{18}O,^{16}O$) indicates that static deformation of target nucleiimpacts on the two-neutron transfer mechanism.

Competition between direct and sequential two-neutron transfers in the $^{18}$O + $^{28}$Si collision at 84 MeV