Abstract
A microscopic description of dynamical fusion threshold in heavy ion collisions is performed in the framework of time-dependent Hartree-Fock (TDHF) theory using Skyrme energy density functional (EDF). TDHF fusion threshold is in a better agreement with experimental fusion barrier. We find that the onset of extra push lies at the effective fissility 33, which is consistent with the prediction of Swiateckis macroscopic model. The extra push energy in our TDHF simulation is systematically smaller than the prediction in macroscopic model. The important dynamical effects and the way to fit the parameter might be responsible for the different results.
Highlights
With the experimental availability of radioactive ion beams, the study of heavy-ion fusion reactions is of great interest especially for the synthesis of superheavy elements and nuclei far from stability
The potential is obtained with the frozen density (FD)-EDF method using the same energy density functional as time-dependent Hartree-Fock (TDHF), as illustrated in subsection 2.3
TDHF fusion threshold and fusion barrier with FD-EDF method have been systematically investigated for the reaction systems of all the combinations among the double magic spherical nuclei 16O, 40Ca, 48Ca, 90Zr, 100Sn, 132Sn, and 208Pb, as well as additional three systems 48Ca +238 U, 96Zr +132 Zr, and 70Zn +208 Pb leading to the synthesis of superheavy elements
Summary
With the experimental availability of radioactive ion beams, the study of heavy-ion fusion reactions is of great interest especially for the synthesis of superheavy elements and nuclei far from stability. The nuclear reactions at energies near the fusion barrier provides important information on the reaction mechanism and collision dynamics. The macroscopic models [1–7] used for the study of fusion reactions are successful in describing some aspects of reaction dynamics, they have in common several shortcomings. Nuclear structure and reaction dynamics are treated in the discrete theoretical frameworks. Important dynamical effects are not included in the time evolution. The collision system allows for the rearrangement of nuclear density, the dynamical rearrangement effect is neglected in the macroscopic model. There are free parameters in the description of nuclear dynamics These parameters are fitted with the experimental reaction data. The availability of experimental data and the way to fit the parameters will affect the reliability of theoretical predictions in macroscopic model. The parameters for unmeasured reaction systems have not yet been determined in coupled channel model [8, 9]
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