Nuclear and Coulomb breakup of the weakly bound $^6$Li nucleus with targets in the range from $A$=59 to 208

We have performed continuum discretized coupled channel (CDCC) calculations for the ${}^{6}$Li + ${}^{59}$Co, ${}^{144}$Sm, and ${}^{208}$Pb systems, to investigate the dependence of the relative importance of nuclear and Coulomb breakup on the target charge (mass) at near-barrier energies. The calculations were in good agreement with the experimental elastic scattering angular distributions for these systems and then their predictions to the nuclear, Coulomb, and total breakup were investigated. Although the relative importance of the nuclear breakup is, as expected, larger for lighter targets, this effect is not very pronounced. We also investigate a scaling of the nuclear breakup with the target mass and we compare the predictions for the integrated total breakup cross sections with experimental fusion cross sections at similar energies.