Abstract
Time-dependent Hartree--Fock (TDHF) method has been applied to various low-energy nuclear reactions, such as fusion, fission, and multinucleon transfer reactions. In this Mini Review, we summarize recent attempts to bridge a microscopic nuclear reaction theory, TDHF, and a macroscopic aspect of nuclear reactions through nucleus--nucleus potentials and energy dissipation from macroscopic degrees of freedom to microscopic ones obtained from TDHF in various colliding systems from light to heavy mass regions.
Highlights
Time-dependent Hartree–Fock (TDHF) method has been widely used in analyzing low-energy nuclear reactions since Bonche and his coworkers applied TDHF to collision of slabs in one-dimensional space as the first application of TDHF to nuclear physics [1]
At Ec.m. = 90 MeV, the shape of each 40Ca density keeps its shape spherical, while at Ec.m. = 55 MeV the shape of each 40Ca density deviates from its ground-state spherical shape as R becomes smaller. This is a dynamical reorganization of density during fusion reactions. This dynamical reorganization changes the shape of each nucleus when two nuclei approach sufficiently, reduces the height of the nucleus–nucleus potential obtained by dissipative-dynamics TDHF” (DD-TDHF)
The macroscopic aspect of TDHF dynamics for low-energy nuclear reactions at energies near the Coulomb barrier was discussed within the DD-TDHF method
Summary
Time-dependent Hartree–Fock (TDHF) method has been widely used in analyzing low-energy nuclear reactions since Bonche and his coworkers applied TDHF to collision of slabs in one-dimensional space as the first application of TDHF to nuclear physics [1]. Since TDHF has been improved in several respects, e.g., including all terms in recent energy density functionals (EDF) such as Skyrme [2] and Gogny [3] functionals and breaking symmetries such as space (from one-dimensional to three-dimensional space). It is well-known that the coupling between relative motions of colliding nuclei (macroscopic degrees of freedom) and internal excitations of them (microscopic degrees of freedom) plays an important role for describing low-energy nuclear reactions at energies around the Coulomb barrier. We show various applications of the method called “dissipative-dynamics TDHF” (DD-TDHF) developed in Washiyama and Lacroix [19], Washiyama et al [20], and Washiyama [41]
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