Mean-Field Description of Fusion Barriers with Skyrme's Interaction

Abstract

Fusion barriers are determined in the framework of the Skyrme energy-density functional together with the semi-classical approach known as the Extended Thomas-Fermi method. The barriers obtained in this way with the Skyrme interaction SkM* turn out to be close to those generated by phenomenological models like those using the proximity potentials. It is also shown that the location and the structure of the fusion barrier in the vicinity of its maximum and beyond can be quite accurately described by a simple analytical form depending only on the masses and the relative isospin of target and projectile nucleus.

7 pages, latex, 5 figures

Cited by in corpus (14)

• Energy dependence of nucleus-nucleus potential close to the Coulomb barrier
• Heavy-ion interaction potential deduced from density-constrained TDHF calculation
• Analytical parametrization of fusion barriers using proximity potentials
• A systematic study of the fusion barriers using different proximity type potentials for $N=Z$ colliding nuclei : New extensions
• Applications of Skyrme energy-density functional to fusion reactions spanning the fusion barriers
• Fusion-fission reactions with modified Woods-Saxon potential
• Quasi-elastic scattering and fusion with a modified Woods-Saxon potential
• Nucleus-nucleus potential with shell-correction contribution
• A modified proximity approach in the fusion of heavy-ions
• Comparative study of fusion barriers using Skyrme interactions and the energy density functional
• Study of fusion dynamics using Skyrme energy density formalism with different surface corrections
• Relative motion correction to fission barriers
• Quantum Gravity Corrections to the Mean Field Theory of Nucleons
• Nucleus-nucleus potential from identical-particle interference