Probing the relativistic mean field effective NN forces for fusion of spherical colliding nuclei within a dynamical model

TL;DR

This paper quantitatively analyzes fusion cross-sections of spherical nuclei using relativistic mean-field interactions within a dynamical model, comparing different parameter sets and validating against experimental data.

Contribution

It introduces a detailed analysis of fusion reactions using relativistic mean-field effective forces and compares them with traditional M3Y forces within a dynamical framework.

Findings

NL2 and HS parameter sets produce similar Coulomb barriers.

NL2 potential yields fusion cross-sections in good agreement with experiments.

Surface friction and double-folding approach effectively model fusion dynamics.

Abstract

For the first time, the precise data on the above barrier fusion (capture) cross-sections for the reactions involving spherical colliding nuclei are quantitatively analyzed using the relativistic mean-field effective interaction. The parameter sets NL1, NL2, NL3, and HS are employed. The analysis is performed within the framework of the fluctuation-dissipation model with surface friction based on the double-folding approach for the nucleus-nucleus potential. The effective interactions, as well as the resulting potentials, are confronted with the ones obtained using the M3Y NN forces. Of the four studied NN interactions, the Coulomb barrier appears for the nucleus-nucleus potentials corresponding to the NL2 and HS parameter sets when the exchange forces are added to the effective interaction. The heights and radii of the barriers obtained using these two parameter sets are very close to each other. The NL2 potential is used for analyzing the fusion cross-section data for five reactions. The results of dynamical calculations are in good agreement with the experimental data.