Static and dynamic effects of the low breakup threshold of Li6 in complete fusion reactions

Abstract

We study complete fusion (CF) reactions in collisions of ${}^6\mathrm{Li}$ projectiles with ${}^{28}\mathrm{Si}, {}^{64}\mathrm{Ni}$, and ${}^{159}\mathrm{Tb}$ targets, from sub-barrier energies up to energies well above the Coulomb barrier. For this purpose, we use a recently developed theoretical method, based on continuum discretized coupled channel wave functions, which successfully predicted CF data for heavier systems. To perform the numerical calculations, we developed a computer code where the continuum discretized wave functions are evaluated by the pseudostates method. We investigate the sensitivity of the results to the largest energy used in the continuum discretization, including closed channels. We find that very good convergence is reached by including continuum states with energies up to 15 MeV. We show that the theoretical CF cross sections of the present study reproduce the available data for the ${}^{28}\mathrm{Si}, {}^{64}\mathrm{Ni}$, and ${}^{159}\mathrm{Tb}$ targets fairly well. A detailed discussion of the static and dynamical effects of the low breakup threshold of the projectile on the CF cross section is presented, considering collisions with targets in different mass regions.