Microscopic Approach in Inelastic Heavy-Ions Scattering with Excitation of Nuclear Collective States

Abstract

In the density distribution of a deformed target-nucleus, the spherical $\lambda =0$ and the deformed $\lambda =2$ parts were considered. On this basis, the corresponding potential parts $U_0$ and $U_{int}^{(2)}$ of a double -folding microscopic nucleus-nucleus optical potential are obtained. Then, for these potentials and by using the coupled-channel technique (ECIS), the elastic and inelastic amplitudes are calculated for ${}^{17}O$ heavy ion scattering on $2^{+}$ collective excited state of various target nuclei. Besides, the same cross-sections are calculated in the frame of an adiabatic approach of the eikonal approximation, where the inelastic amplitude is the linear function of $U_{int}^{(2)}$. Both the obtained results are compared with the experimental data, and also discuss their efficiency in predicting the deformation parameters of nuclei.

9 pages, 4 figures, 1 table