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Large amplitude collective dynamic beyond the independent particle/quasiparticle picture

Abstract : In the present note, a summary of selected aspects of time-dependent mean-field theory is first recalled. This approach is optimized to describe one-body degrees of freedom. A special focus is made on how this microscopic theory can be reduced to a macroscopic dynamic for a selected set of collective variables. Important physical phenomena like adiabaticity/diabaticity, one-body dissipation or memory effect are discussed. Special aspects related to the use of a time-dependent density functional instead of a time-dependent Hartree-Fock theory based on a bare hamiltonian are underlined. The absence of proper description of complex internal correlations however strongly impacts the predictive power of mean-field. A brief overview of theories going beyond the independent particles/quasi-particles theory is given. Then, a special attention is paid for finite fermionic systems at low internal excitation. In that case, quantum fluctuations in collective space that are poorly treated at the mean-field level, are important. Several approaches going beyond mean-field, that are anticipated to improve the description of quantum fluctuations, are discussed: the Balian-V\'en\'eroni variational principle, the Time-Dependent Random Phase Approximation and the recently proposed Stochastic Mean-Field theory. Relations between these theories are underlined as well as their advantages and shortcomings.
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Submitted on : Wednesday, May 27, 2015 - 5:34:55 PM
Last modification on : Friday, April 30, 2021 - 10:22:00 AM

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  • HAL Id : in2p3-01157217, version 1
  • ARXIV : 1504.01499



Denis Lacroix. Large amplitude collective dynamic beyond the independent particle/quasiparticle picture. Progress of Time-Dependent Nuclear Reaction Theory, 2 (6), pp.93-113, 2019, 978-1-68108-765-8 (Print); 978-1-68108-764-1 (Online). ⟨in2p3-01157217⟩



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