We investigate the simultaneous explanation of the ${}^6\mathrm{He}+{}^{12}\mathrm{C}$ elastic and inelastic scattering and ${}^6\mathrm{He}+{}^{12}\mathrm{C}\to {}^4\mathrm{He}+{}^{14}\mathrm{C}$ transfer reaction observables at 18.0 MeV within the framework of the coupled-channels Born approximation. In obtaining the microscopic double folding potentials, two different nucleon densities deduced from the no-core shell model and few-body model calculations for the ${}^6\mathrm{He}$ have been used. Although a good agreement between theoretical results and experimental data has been obtained for elastic scattering and transfer reactions data, the theoretical results underestimate the magnitude of the inelastic-$2^{+}$ state data. We present in this article that the deformation of the imaginary part of the optical potential is very important and it overcomes the magnitude problem for the inelastic data for this system.

• Received 27 March 2008

DOI:https://doi.org/10.1103/PhysRevC.77.064608