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The underlying scenario of low-energy heavy-ion collisions is presented based on time-dependent density-functional calculations. A classification of several types of reaction dynamics is given with respect to their time-scales.

Nuclear Theory · Physics 2013-07-09 Yoritaka Iwata

The time-dependent Hartree and Hartree-Fock equations provide effective mean-field descriptions for the dynamics of large fermionic systems and play a fundamental role in many areas of physics. In this work, we rigorously derive the…

Mathematical Physics · Physics 2025-07-17 Duc Viet Hoang , David Mitrouskas , Peter Pickl

We present a new approach for calculating the nuclear equation of state and compressibility for finite nuclei using the density-constrained Hartree-Fock method.

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

We investigate the one-body dissipation dynamics in heavy-ion collisions of $^{16}{\rm O}$+$^{16}{\rm O}$ using a fully three-dimensional time-dependent Hartree-Fock (TDHF) theory with the modern Skyrme energy functional and without any…

Nuclear Theory · Physics 2015-06-23 Gao-Feng Dai , Lu Guo , En-Guang Zhao , Shan-Gui Zhou

Background: The Density-constraint Time-dependent Hartree-Fock method is currently the tool of choice to predict fusion cross-sections. However, it does not include pairing correlations, which have been found recently to play an important…

Nuclear Theory · Physics 2019-08-26 G. Scamps , Y. Hashimoto

We discuss possible avenues to study fission dynamics starting from a time-dependent mean-field approach. Previous attempts to study fission dynamics using the time-dependent Hartree-Fock (TDHF) theory are analyzed. We argue that different…

Nuclear Theory · Physics 2015-05-18 A. S. Umar , V. E. Oberacker , J. A. Maruhn , P. -G. Reinhard

Nucleus-nucleus interaction potentials in heavy-ion fusion reactions are extracted from the microscopic time-dependent Hartree-Fock theory. When the center-of-mass energy is much higher than the Coulomb barrier energy, extracted potentials…

Nuclear Theory · Physics 2009-11-13 Kouhei Washiyama , Denis Lacroix

Some of the new developments in the theory of heavy ion collisions are reviewed. Much of the last progress have been triggered by the high energies available at RHIC. In the near future, the LHC will extend the energy reach in heavy ions by…

High Energy Physics - Phenomenology · Physics 2008-11-26 Carlos A. Salgado

We present the time-dependent restricted-active-space self-consistent field (TD-RASSCF) theory as a new framework for the time-dependent many-electron problem. The theory generalizes the multiconfigurational time-dependent Hartree-Fock…

Atomic Physics · Physics 2014-05-22 Haruhide Miyagi , Lars Bojer Madsen

A numerical method to integrate the time-dependent Hartree-Fock Bogoliubov (TDHFB) equations with Gogny interaction is proposed. The feasibility of the TDHFB code is illustrated by the conservation of the energy, particle numbers, and…

Nuclear Theory · Physics 2015-06-04 Yukio Hashimoto

The study aims to explore the mechanism of heavy-ion fusion using various effective nucleon-nucleon (NN) interactions and nuclear density distributions. The nuclear potentials are obtained by folding the relativistic effective NN…

Nuclear Theory · Physics 2025-05-14 Shilpa Rana , Raj Kumar , M. Bhuyan

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 Theory · Physics 2020-03-16 Kouhei Washiyama , Kazuyuki Sekizawa

Information on dissipation in the entrance channel of heavy-ion collisions is extracted by macroscopic reduction procedure of Time-Dependent Hartree-Fock theory. The method gives access to a fully microscopic description of the friction…

Nuclear Theory · Physics 2009-03-04 Kouhei Washiyama , Denis Lacroix , Sakir Ayik

Single-particle potentials in Hartree-Fock approximation for different hyperon-nucleon (YN) channels are calculated in the framework of the effective low-momentum YN interaction V_lowk. In contrast to the nucleon-nucleon interaction, the…

Nuclear Theory · Physics 2008-11-26 Haris Djapo , Bernd-Jochen Schaefer , Jochen Wambach

This article examines the time-dependent Hartree-Fock (TDHF) approximation of single-particle dynamics in systems of interacting fermions. We find the TDHF approximation to be accurate when there are sufficiently many particles and the…

Mathematical Physics · Physics 2007-05-23 Claude Bardos , Francois Golse , Alex D. Gottlieb , Norbert J. Mauser

The structure of approximate two electron wavefunction is deeply investigated, both theoretically and numerically, in the strong-field driven ionization dynamics. Theoretical analyses clarify that for two electron singlet systems, the…

Atomic Physics · Physics 2014-11-13 Takeshi Sato , Kenichi L Ishikawa

Starting from the microscopic reduced Hartree-Fock equation, we derive the nanoscopic linearized Poisson-Boltzmann equation for the electrostatic potential associated with the electron density.

Mathematical Physics · Physics 2020-12-07 Ilias , Chenn , Israel Michael Sigal

Relativistic Hartree-Fock and random phase approximation methods for open shells are used to calculate ionization potentials and static scalar polarizabilities of eight superheavy elements with open $6d$-shell, which include Db, Sg, Bh, Hs,…

Atomic Physics · Physics 2016-04-06 V. A. Dzuba

We compare two different approaches to investigations of many-electron systems. The first is the Hartree-Fock (HF) method and the second is the Density Functional Theory (DFT). Overview of the main features and peculiar properties of the HF…

Materials Science · Physics 2009-11-07 M. Ya. Amusia , A. Z. Msezane , V. R. Shaginyan

By minimizing the difference between the left- and the right-hand sides of the many-body time-dependent Schr\"{o}dinger equation with the Slater-determinant wave-function, we derive a non-adiabatic and self-interaction free time-dependent…

Quantum Physics · Physics 2013-04-26 V. U. Nazarov