Consistent analysis of the elastic, inelastic and fusión cross sections in the systems 16O + 144, 148, 150, 152Sm at sub-barrier energies

Abstract

On the basis of the experimental data reported in the literature, an analysis of the elastic, inelastic and fusion cross sections was made for the ¹⁶O + ^{144, 148, 150, 152}Sm systems at energies near the Coulomb barrier using a consistent deformed optical model potential. Coupled-channel calculations of the elastic and inelastic scattering cross sections were carried out using the ECIS87 code.

In the present calculation the lowest 0⁺, 2⁺ and 3^- states of the target nuclei ^{144, 148, 150}Sm and the lowest 0⁺, 2⁺ and 4⁺ states of ¹⁵²Sm were included explicitly. The effects of Coulomb excitations were also taken into account.

The coupling potentials ere generated following the usual deformed optical model potential prescription, using the harmonic vibrational model and the symmetric rotational model to describe the structure of the target nuclei.

By fitting procedure, a parameterization of the deformed optical potential was obtained that shows the so called “threshold anomaly”. To calculate the fusion cross section by means of FRESCO code² this parameterization was used.

The calculated elastic and inelastic angular distributions and fusion excitation functions reasonably well agree with experimental data.