Nucleus-nucleus potential with shell-correction contribution

Abstract

The full relaxed-density potential between spherical nuclei is considered as a sum of the macroscopic and shell-correction contributions. The macroscopic part of the potential is related to a nucleus-nucleus potential obtained in the framework of the extended Thomas-Fermi approach with the Skyrme and Coulomb forces and the relaxed-density ansatz for evaluation of proton and neutron densities of interacting nuclei. A simple prescription for the shell-correction part of the total potential is discussed. The parameters of the shell-correction and macroscopic parts of the relaxed-density potential are found by fitting the empirical barrier heights of the 89 nucleus-nucleus systems as well as macroscopic potentials evaluated for 1485 nucleus-nucleus systems at 12 distances around touching points.

11 pages, 4 figures

References in corpus (10)

• Nuclear rainbow scattering and nucleus-nucleus potential
• Energy dependence of nucleus-nucleus potential close to the Coulomb barrier
• Fusion reactions in multicomponent dense matter
• A systematic study of the fusion barriers using different proximity type potentials for $N=Z$ colliding nuclei : New extensions
• The role of surface energy coefficients and nuclear surface diffuseness in the fusion of heavy-ions
• TDHF fusion calculations for spherical+deformed systems
• Effects of nuclear molecular configurations on the astrophysical S-factor for ${}^{16}$O + ${}^{16}$O
• Nucleus-nucleus potential with shell-correction contribution and deep sub-barrier fusion of heavy nuclei
• Dynamical nucleus-nucleus potential at short distances
• Nuclear reactions in hot stellar matter and nuclear surface deformation