Woods-Saxon equivalent to a double folding potential

TL;DR

This paper derives a Woods-Saxon potential equivalent to a double folding potential for heavy-ion scattering, providing a simple analytical formula for the Coulomb barrier and fusion cross section estimation, validated against experimental data.

Contribution

It introduces a Woods-Saxon equivalent to double folding potentials with a new analytical formula for the Coulomb barrier, simplifying analysis of heavy-ion scattering data.

Findings

The Woods-Saxon equivalent accurately reproduces double folding potential results.

The analytical formula effectively estimates Coulomb barrier position and height.

Fusion cross sections estimated align well with experimental data.

Abstract

A Woods-Saxon equivalent to a double folding potential in the surface region is obtained for the heavy-ion scattering potential. The Woods-Saxon potential has fixed geometry and was applied as a bare potential in the analysis of experimental data of several systems. A new analytical formula for the position and height of the Coulomb barrier is presented, which reproduces the results obtained using double folding potentials. This simple formula has been applied to estimate the fusion cross section above the Coulomb barrier. A comparison with experimental data is presented.