Describing the heavy-ion above-barrier fusion using the bare potentials resulting from Migdal and M3Y double-folding approaches

TL;DR

This paper systematically compares Coulomb barrier parameters for heavy-ion fusion using M3Y and Migdal double-folding potentials, showing M3Y aligns better with experimental fusion cross sections at above-barrier energies.

Contribution

It introduces a detailed comparison of M3Y and Migdal potentials for Coulomb barriers, demonstrating the superior agreement of M3Y with experimental fusion data.

Findings

Migdal interaction yields higher Coulomb barriers than M3Y.

Differences between the two potentials increase with barrier height.

M3Y-based calculations match experimental fusion cross sections well.

Abstract

Systematic calculations of the Coulomb barrier parameters for collisions of spherical nuclei are performed within the framework of the double folding approach. The value of the parameter $B_Z=Z_PZ_T/(A^{1/3}_P+(A^{1/3}_P)$ (which estimates the Coulomb barrier height) varies in these calculations from 10 MeV up to 150 MeV. The nuclear densities came from the Hartree-Fock calculations which reproduce the experimental charge densities with good accuracy. For the nucleon-nucleon effective interaction two analytical approximations known in the literature are used: the M3Y and Migdal forces. The calculations show that Migdal interaction always results in the higher Coulomb barrier. Moreover, as $B_Z$ increases the difference between the M3Y and Migdal barrier heights systematically increases as well. As the result, the above barrier fusion cross sections calculated dynamically with the M3Y forces and surface friction are in agreement with the data. The cross sections calculated with the Migdal forces are always below the experimental data even without accounting for the dissipation.