Microscopic time-dependent description of alpha-cluster transfer and incomplete fusion in reactions with 12C and 16O near Coulomb barrier

Abstract

The time-dependent Schrödinger equation has been numerically solved for the α-cluster wave function the in reaction 12C+51V at the energies near and above the Coulomb barrier. The α-target potential included an imaginary part as in the optical model. The α-cluster mean field of the shell model for 12C and 16O nuclei based on the results of Feynman’s integrals method is proposed. The evolution of the α-cluster probability density was calculated for the complete and incomplete fusion as well as transfer channels. The calculated cross sections show satisfactory agreement with the experimental data for (12C,α) and (12C,2α) transfer channels.