Fusion Dynamics of 16O + 72,76Ge →88,92Zr Reactions using Skyrme Energy Density Formalism

Abstract

In the fusion of 16O+72,76Ge→ 88,92Zr reactions the significance of structural and bulk properties of projectile-target combination is investigated at energies across the Coulomb barrier. For the purpose, the role of distinct Skyrme interactions (SIII, SKM*, SGII, RATP, T6, SkP), in conjunction with different surface diffuseness parameter (a=0.45-0.99) and nuclear charge radii i.e. iso-spin dependent and iso-spin independent are examined for the studied reaction. These geometrical parameters have their straight effect on the interaction barrier and the fusion excitation function. Thus, the sensitivity of fusion barrier and the cross sections in the sub barrier region of 88,92Zr Compound systems is carefully explored. The estimations of fusion cross sections are done in the framework of Wong formula and are compared with the respective experimental data. The observations implies that SKM* Skyrme interaction in which nuclear radius derived from polynomial fit gives relatively better result than the considered iso-spin dependent and independent nuclear charge radii. Further, the behaviour in the cross sections of Zr isotopes is investigated in terms of surface diffuseness parameter, which depicts that surface width is higher for neutron rich nucleus and lower for the neutron deficient one.