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The present contribution does not aim at replacing the huge and often excellent literature on DFT for atomic nuclei, but tries to provide an updated introduction to this topic. The goal would be, ideally, to help a fresh M.Sc. or Ph.D.…

Nuclear Theory · Physics 2019-08-09 G. Colò

In order to describe heavy-ion fusion reactions around the Coulomb barrier with an actinide target nucleus, we propose a model which combines the coupled-channels approach and a fluctuation-dissipation model for dynamical calculations. This…

Nuclear Theory · Physics 2015-06-04 Y. Aritomo , K. Hagino , K. Nishio , S. Chiba

We study fusion reactions of the $^{64}$Ni+$^{132}$Sn system using the recently introduced density constrained time-dependent Hartree-Fock formalism. In this formalism the fusion barriers are directly obtained from TDHF dynamics. In…

Nuclear Theory · Physics 2008-11-26 A. S. Umar , V. E. Oberacker

An extension of time-dependent density functional theory (TDDFT), the generalized time-dependent generator coordinate method (TDGCM), is applied to a study of induced nuclear fission dynamics. In the generalized TDGCM, the correlated…

Nuclear Theory · Physics 2025-04-11 B. Li , D. Vretenar , T. Nikši\' c , P. W. Zhao , J. Meng

In quasi-fission, it is unclear what the interaction between the relative orbital angular momentum and the spin of the fragments is from a microscopic perspective. In macroscopic approaches, it is expected that the large value of the…

Nuclear Theory · Physics 2024-11-19 Guillaume Scamps

Mean-field approaches where a complex fermionic many-body problem is replaced by an ensemble of independent particles in a self-consistent mean-field can describe many static and dynamical aspects. It generally provides a rather good…

Nuclear Theory · Physics 2015-06-18 Denis Lacroix , Sakir Ayik

A new decomposition of the Dirac structure of nucleon self-energies in the Dirac Brueckner-Hartree-Fock (DBHF) approach is adopted to investigate the equation of state for asymmetric nuclear matter. The effective coupling constants of…

Nuclear Theory · Physics 2009-11-07 Zhong-yu Ma , Ling Liu

Correlations in the nuclear wave-function beyond the mean-field or Hartree-Fock approximation are very important to describe basic properties of nuclear structure. Various approaches to account for such correlations are described and…

Nuclear Theory · Physics 2009-11-06 H. Müther , A. Polls

Using a theory of large amplitude collective motion, the adiabatic self-consistent collective coordinate method, we derive reaction path for the fusion process at sub-barrier energies. The collective Hamiltonian to describe the fusion…

Nuclear Theory · Physics 2019-01-30 Kai Wen , Takashi Nakatsukasa

We employ correlated realistic nucleon-nucleon interactions for the description of nuclear ground states throughout the nuclear chart within the Hartree-Fock approximation. The crucial short-range central and tensor correlations, which are…

Nuclear Theory · Physics 2007-05-23 R. Roth , P. Papakonstantinou , N. Paar , H. Hergert , T. Neff , H. Feldmeier

By simulating the real-time multielectron wavefunction with the multi-configurational time-dependent Hartree-Fock (MCTDHF) approach, we conduct an \textit{ab initio} study of the single-photon ionization process of a body-fixed water…

Atomic Physics · Physics 2026-01-14 Zhao-Han Zhang , Yang Li , Himadri Pathak , Takeshi Sato , Kenichi L. Ishikawa , Feng He

We overview the current status of theoretical approaches for heavy-ion fusion reactions at subbarrier energies. We particularly discuss theoretical challenges in the coupled-channels approach, that include i) a description of deep…

Nuclear Theory · Physics 2017-12-06 K. Hagino

Neutrinos and their weak interactions play a vital role in the physics of core-collapse supernovae and binary neutron star mergers. Their description within astrophysical simulations, including the weak rates, is of pivotal importance not…

High Energy Astrophysical Phenomena · Physics 2026-05-19 Kamil Sokołowski , Anil Kumar , Tobias Fischer

The collective dynamics of low energy fission in 238U is described within a time-dependent formalism based on the Gaussian Overlap Approximation of the time-dependent Generator Coordinate Method. The intrinsic deformed configurations of the…

Nuclear Theory · Physics 2011-07-19 H. Goutte , J. F. Berger , P. Casoli , D. Gogny

Given a set of collective variables, a method is proposed to obtain the associated conjugated collective momenta and masses starting from a microscopic time-dependent mean-field theory. The construction of pairs of conjugated variables is…

Nuclear Theory · Physics 2015-09-09 Yusuke Tanimura , Denis Lacroix , Guillaume Scamps

The two recent density-dependent versions of the finite-range M3Y interaction (CDM3Y$n$ and M3Y-P$n$) have been probed against the bulk properties of asymmetric nuclear matter (NM) in the nonrelativistic Hartree Fock (HF) formalism. The…

Nuclear Theory · Physics 2010-05-07 Hoang Sy Than , Dao T. Khoa , Nguyen Van Giai

Examination of high-resolution, experimental fusion excitation functions for $^{16,17,18}$O + $^{12}$C reveals a remarkable irregular behavior that is rooted in the structure of both the colliding nuclei and the quasi-molecular composite…

Nuclear Theory · Physics 2023-09-28 R. T. deSouza , K. Godbey , S. Hudan , W. Nazarewicz

It has been known that the time-dependent Hartree-Fock (TDHF) method, or the time-dependent density functional theory (TDDFT), fails to describe many-body quantum tunneling. We overcome this problem by superposing a few time-dependent…

Nuclear Theory · Physics 2020-06-15 N. Hasegawa , K. Hagino , Y. Tanimura

A notable issue, the proper description of mass and charge distributions of fission fragments within nonadiabatic descriptions of fission dynamics, is investigated by performing double particle number projection on the outcomes of…

Nuclear Theory · Physics 2024-10-15 Yun Huang , Xiang-Xiang Sun , Lu Guo

In this paper we motivate, formulate and analyze the Multi-Configuration Time-Dependent Hartree-Fock (MCTDHF) equations for molecular systems under Coulomb interaction. They consist in approximating the N-particle Schrodinger wavefunction…

Mathematical Physics · Physics 2015-05-13 C. Bardos , I. Catto , N. Mauser , S. Trabelsi
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