The fusion dynamics for a positive Q-value system: $^{27}$Al+$^{45}$Sc using SEDF and role of spin-orbit interaction potential

TL;DR

This study investigates the fusion dynamics of the $^{27}$Al+$^{45}$Sc system at near and deep sub-barrier energies using Skyrme energy density formalism, highlighting the importance of spin-orbit interaction and identifying the most accurate potential model.

Contribution

It introduces a detailed analysis of fusion dynamics with various Skyrme forces and emphasizes the role of spin-orbit interaction in a positive Q-value system.

Findings

Skyrme force SIV provides the best fit to experimental data.

Spin-orbit interaction significantly influences fusion dynamics.

Proximity potential with SIV accurately predicts fusion observables.

Abstract

The fusion dynamics for a positive Q-value systems: $^{27}$Al+$^{45}$Sc, at near and deep sub-barrier energies has been investigated using the proximity potentials of Skyrme energy density formalism in semi classical extended Thomas Fermi approach for arbitrarily chosen Skyrme forces: SLy4, SIV, SGII and Proximity77 of Blocki and co-workers. The calculated fusion excitation functions for the proximity potentials obtained for Skyrme forces mentioned above and for the Proximity77 have been compared with experimental data. The proximity potential for Skyrme force SIV is found to be the best and is used in the calculations of the quantities like logarithmic derivative, barriers distributions and $S$-factor. Further, the role of spin-orbit interaction potential in the fusion dynamics of this system has been investigated.