The recent works by the present authors predicted that the real part of heavy-ion optical potentials changes its character from attraction to repulsion around the incident energy per nucleon $E/A=200–300\hspace{0.5em}\mathrm{MeV}$ on the basis of the complex $G$-matrix interaction and the double-folding model (DFM) and revealed that the three-body force plays an important role there. In the present paper, we have precisely analyzed the energy dependence of the calculated DFM potentials and its relation to the elastic-scattering angular distributions in detail in the case of the ${}^{12}\mathrm{C}$$+$${}^{12}\mathrm{C}$ system in the energy range of $E/A=100–400\hspace{0.5em}\mathrm{MeV}$. The tensor force contributes substantially to the energy dependence of the real part of the DFM potentials and plays an important role to lower the attractive-to-repulsive transition energy. The nearside and farside ($N/F$) decompositions of the elastic-scattering amplitudes clarify the close relation between the attractive-to-repulsive transition of the potentials and the characteristic evolution of the calculated angular distributions with the increase of the incident energy. Based on the present analysis, we propose experimental measurements for the predicted strong diffraction phenomena of the elastic-scattering angular distribution caused by the $N/F$ interference around the attractive-to-repulsive transition energy together with the reduced diffractions below and above the transition energy.

• Received 8 September 2010

DOI:https://doi.org/10.1103/PhysRevC.82.044612