Fusion-fission reactions with modified Woods-Saxon potential

Abstract

A modified Woods-Saxon potential model is proposed for a unified description of the entrance channel fusion barrier and the fission barrier of fusion-fission reactions based on the Skyrme energy-density functional approach. The fusion excitation functions of 120 reactions have been systematically studied. The fusion (capture) cross sections are well described with the calculated potential and an empirical barrier distribution. Incorporating a statistical model (HIVAP code) for describing the decay of the compound nucleus, the evaporation residue (and fission) cross sections of 51 fusion-fission reactions have been systematically investigated. Optimal values of some key parameters of the HIVAP code are obtained based on the experimental data of these reactions. The experimental data are reasonably well reproduced by the calculated results. The upper and lower confidence limits of the systematic errors of the calculated results are given.

24 pages, 13 figures, 3 tables, accepted for publication in Phys. Rev. C

References in corpus (2)

• Applications of Skyrme energy-density functional to fusion reactions for synthesis of superheavy nuclei
• Fusion of radioactive ${}^{132}$Sn with ${}^{64}$Ni

Cited by in corpus (7)

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• Progress of Quantum Molecular Dynamics model and its applications in Heavy Ion Collisions
• Quasi-elastic scattering and fusion with a modified Woods-Saxon potential
• Microscopic dynamics simulations of heavy-ion fusion reactions induced by neutron-rich nuclei
• Dynamical nucleus-nucleus potential and incompressibility of nuclear matter
• Constraining the Woods-Saxon potential in fusion reactions based on the neural network
• Quantum Gravity Corrections to the Mean Field Theory of Nucleons