Abstract
Quantum many-body nuclear dynamics is treated at the mean-field level with the time-dependent Hartree-Fock (TDHF) theory. Low-lying and high-lying nuclear vibrations are studied using the linear response theory. The fusion mechanism is also described for light and heavy systems. The latter exhibit fusion hindrance due to quasi-fission. Typical characteristics of quasi-fission, such as contact time and partial symmetrisation of the fragments mass in the exit channel, are reproduced by TDHF calculations. The (multi-)nucleon transfer at sub-barrier energies is also discussed.
Highlights
The quantum many-body problem is common to all fields aiming at describing complex quantum systems of interacting particles
Atomic nuclei exhibit a large variety of vibrations, from low-lying collective modes to giant resonances (GR), which can be modeled by the time-dependent Hartree-Fock (TDHF) theory
The time-dependent Hartree-Fock approach to many-body systems has been tested on nuclear dynamics
Summary
The quantum many-body problem is common to all fields aiming at describing complex quantum systems of interacting particles. The development of the BCS theory to describe superconducticity [1] has been crucial to understand some properties of atomic nuclei due to pairing correlations Another example is the description of low-energy fusion with multi-channel tunnelling [2] which is used to investigate dissociative adsorption of molecules in surface science [3]. A good starting point is to consider that the particles evolve independently in the mean-field generated by the ensemble of particles This leads to the well known time-dependent Hartree-Fock (TDHF) theory proposed by Dirac [9] which has been applied to many nuclear systems in the past decade [10] for a review) In this contribution, we present recent applications of the TDHF approach to nuclear dynamics, from vibrations to heavy-ion collisions around the Coulomb barrier.
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