Potential energy surface and formation of superheavy nuclei with the Skyrme energy-density functional

TL;DR

This paper uses Skyrme energy-density functional theory to calculate nucleus-nucleus potentials and potential energy surfaces, aiding the estimation of superheavy nuclei formation cross sections in fusion reactions.

Contribution

It introduces a detailed analysis of how different Skyrme effective forces influence the potential energy surface and formation cross sections of superheavy nuclei.

Findings

Potential pocket width and height depend on Skyrme forces and collision orientation.

More repulsive potentials occur with higher nuclear matter incompressibility.

Data for $^{48}$Ca+$^{238}$U fusion-evaporation reactions are well reproduced using SkM$^{ ext{*}}$.

Abstract

Within the framework of Skyrme energy-density functional theory, the nucleus-nucleus potential is calculated and potential energy surface is obtained with different effective forces for accurately estimating the formation cross sections of superheavy nuclei in massive fusion reactions. The width and height of the potential pocket are influenced by the Skyrme effective forces SkM, SkM$^{\ast}$, SkP, SIII, Ska and SLy4, which correspond to the different equation of state for the isospin symmetry nuclear matter. It is found that the nucleus-nucleus potential is associated with the collision orientation and Skyrme parameters. More repulsive nuclear potential is pronounced with increasing the incompressible modulus of nuclear matter. The available data in the fusion-evaporation reaction of $^{48}$Ca+$^{238}$U are nicely reproduced with the SkM$^{\ast}$ parameter by implementing into the dinuclear system model.