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

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.

9 pages, 6 figures, 1 table

References in corpus (8)

• The Skyrme Interaction in finite nuclei and nuclear matter
• Formation of superheavy nuclei in cold fusion reactions
• How the Pauli exclusion principle affects fusion of atomic nuclei
• Production of neutron-rich isotopes around N=126 in multinucleon transfer reactions
• Current Status and Future Potential of Nuclide Discoveries
• Production of heavy and superheavy nuclei in massive fusion reactions
• Applications of Skyrme energy-density functional to fusion reactions for synthesis of superheavy nuclei
• Pauli energy contribution to nucleus-nucleus interaction

Cited by in corpus (2)

• Influence of entrance channel on production cross section of exotic actinides in multinucleon transfer reactions
• Deformed magic numbers at $N=$178 and $Z=$120, 124 in the 112 $\le N\le$ 190 superheavy region from Skyrme mean-field calculations