Negligible suppression of the complete fusion of ${}^{6,7}\mathrm{Li}$ on light targets, at energies above the barrier

Motivated by a recent work performed at Australian National University by S. Kalkal et al. [Phys. Rev. C 93, 044605 (2016)] on breakup and its time scale, where it was shown that the prompt (or near-target) breakup of ${}^{6,7}\mathrm{Li}$ is almost negligible and consequently the near-barrier complete fusion cross section induced by these weakly bound Li isotopes on light targets should not be suppressed by the breakup, as it is for heavier targets, we estimated the contributions of complete and incomplete fusion in the measured total fusions for several light systems available in the literature. The chosen systems were those for which the fusion cross sections had been measured using the $\gamma$-ray spectroscopy method and all evaporation channel cross sections were reported. For the estimation, we used, apart from the data, the predictions of the evaporation code cascade. The results show that, indeed, the complete fusion suppression is negligible for such systems at energies slightly above the barrier, in agreement with the above-mentioned recent measurements of breakup time scales.

Figure 1

Estimated complete fusion excitation function for the ${}^6\mathrm{Li}+{}^{12}\mathrm{C}$ system and theoretical CC calculations. For this system, the measured total fusion was considered as equivalent to the complete fusion.

Figure 2

Same as Fig. 1, but for the ${}^6\mathrm{Li}+{}^{13}\mathrm{C}$ system, for which the measured total fusion was also considered as equivalent to the complete fusion.

Figure 3

Estimated complete fusion excitation function for the ${}^7\mathrm{Li}+{}^{12}\mathrm{C}$ system and theoretical CC calculations. For this system, the measured total fusion was considered as equivalent to the complete fusion.

Figure 4

Same as Fig. 3, but for the ${}^7\mathrm{Li}+{}^{13}\mathrm{C}$ system, for which the measured total fusion was also considered as equivalent to the complete fusion.

Figure 5

Estimated complete fusion excitation function for the ${}^6\mathrm{Li}+{}^{16}\mathrm{O}$ system and theoretical CC calculations. For this system, the measured total fusion was considered as equivalent to the complete fusion.

Figure 6

Measured total fusion and estimated complete fusion excitation functions for the ${}^7\mathrm{Li}+{}^{16}\mathrm{O}$ system and theoretical CC calculations.

Figure 7

Same as Fig. 6, but for the ${}^7\mathrm{Li}+{}^{24}\mathrm{Mg}$ system.

Figure 8

Same as Fig. 6, but for the ${}^6\mathrm{Li}+{}^{24}\mathrm{Mg}$ system.