Microscopic coupled-channels calculations of nucleus-nucleus scattering including chiral three-nucleon-force effects

We analyze ${}^{16}\mathrm{O}\text{−}{}^{16}\mathrm{O}$ and ${}^{12}\mathrm{C}\text{−}{}^{12}\mathrm{C}$ scattering with the microscopic coupled-channels method and investigate the coupled-channels and three-nucleon-force (3NF) effects on elastic and inelastic cross sections. In the microscopic coupled-channels calculation, the Melbourne $g$-matrix interaction modified according to the chiral 3NF effects is used. It is found that the coupled-channels and 3NF effects additively change both the elastic and inelastic cross sections. As a result, the coupled-channels calculation including the 3NF effects significantly improves the agreement between the theoretical results and the experimental data. The incident-energy dependence of the coupled-channels and 3NF effects is also discussed.

Figure 1

Differential cross sections of elastic and inelastic ${}^{16}\mathrm{O}\text{−}{}^{16}\mathrm{O}$ scattering at (a) 70 MeV/nucleon and (b) 44 MeV/nucleon. The solid (dashed) line corresponds to the result with (without) the 3NF effects, and the dotted (dot-dashed) line corresponds to the result of the one-step calculation with (without) the 3NF effects. The experimental data are taken from Refs. [36, 37, 38]. The inelastic cross sections are scaled by the factor shown inside the panel for clarity.

Figure 2

Differential cross sections of elastic and inelastic ${}^{12}\mathrm{C}\text{−}{}^{12}\mathrm{C}$ scattering at (a) 85 MeV/nucleon and (b) 30 MeV/nucleon. The meaning of the lines is the same as in Fig. 1. The experimental data are taken from Refs. [39, 40, 41].