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Friction coefficients for the fusion reaction $^{16}$O+$^{16}$O $\rightarrow$ $^{32}$S are extracted based on both the time-dependent Hartree-Fock and the time-dependent density matrix methods. The latter goes beyond the mean-field…

Nuclear Theory · Physics 2018-07-11 Kai Wen , M. C. Barton , Arnau Rios , P. D. Stevenson

We introduce the application of Time-Dependent Hartree-Fock (TDHF) theory to two key aspects of heavy-ion reaction dynamics for producing superheavy elements: fusion and quasi-fission (QF). For fusion reactions $^{48}$Ca+$^{238}$U, the…

Nuclear Theory · Physics 2026-03-11 Liang Li , Xiang-Xiang Sun , Lu Guo

As a universal quantum mechanical approach to the dynamical many-body problem, the time-dependent density functional theory (TDDFT) might be inadequate to describe crucial observables that rely on two-body evolution behavior, like the…

Computational Physics · Physics 2025-11-17 Jiong-Hang Liang , Yunfeng Xiong

The role of tensor force on the collision dynamics of $^{16}$O+$^{16}$O is investigated in the framework of a fully three-dimensional time-dependent Hartree-Fock theory. The calculations are performed with modern Skyrme energy functional…

Nuclear Theory · Physics 2014-10-22 Gao-Feng Dai , Lu Guo , En-Guang Zhao , Shan-Gui Zhou

We formulate a time-dependent density-matrix functional theory (TDDMFT) approach for higher-order correlation effects like biexcitons in optical processes in solids based on the reduced two-particle density-matrix formalism within the…

Materials Science · Physics 2015-05-19 Volodymyr Turkowski , Carsten A. Ullrich , Talat S. Rahman , Michael N. Leuenberger

The strength functions of quadrupole modes in the unstable oxygen isotopes 22O and 24O are calculated using an extended version of the time-dependent Hartree-Fock theory known as the time-dependent density-matrix theory (TDDM). It is found…

Nuclear Theory · Physics 2009-11-07 M. Tohyama , A. S. Umar

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

The fluctuation-dissipation mechanism underlying non-equilibrium transport in low-energy heavy-ion reactions remains unclear. Although the time-dependent Hartree-Fock (TDHF) method provides a reasonable description of average reaction…

Nuclear Theory · Physics 2025-07-02 Zepeng Gao , Kazuyuki Sekizawa , Long Zhu

The influence of time dependent medium modifications of low mass vector mesons on dilepton production is investigated using nonequilibrium quantum field theory. By working in the two-time representation memory effects are fully taken into…

High Energy Physics - Phenomenology · Physics 2007-05-23 C. Greiner , B. Schenke

Describing time-dependent many-body systems where correlation effects play an important role remains a major theoretical challenge. In this paper we develop a time-dependent many-body theory that is based on the two-particle reduced density…

We study dissipation and relaxation processes within the time-dependent Hartree-Fock approach using the Wigner distribution function. On the technical side we present a geometrically unrestricted framework which allows us to calculate the…

Nuclear Theory · Physics 2012-08-30 N. Loebl , A. S. Umar , J. A. Maruhn , P. -G. Reinhard , P. D. Stevenson , V. E. Oberacker

We evaluate the density matrix of an arbitrary quantum mechanical system in terms of the quantities pertinent to the solution of the time-dependent density functional theory (TDDFT) problem. Our theory utilizes the adiabatic connection…

Mesoscale and Nanoscale Physics · Physics 2019-09-04 Vladimir U. Nazarov

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

Time-dependent density-functional theory (TDDFT) is widely used to describe electronic excitations in complex finite systems with large numbers of atoms, such as biomolecules and nanocrystals. The first part of this paper will give a simple…

Materials Science · Physics 2008-08-15 C. A. Ullrich , V. Turkowski

The strength functions of isovector dipole resonances in the even oxygen isotopes $^{18\sim24}$O are calculated by using an extended version of the time-dependent Hartree-Fock theory known as the time-dependent density-matrix theory (TDDM).…

Nuclear Theory · Physics 2009-11-07 M. Tohyama , A. S. Umar

The strength functions of the DGDRs in 16O and 40Ca are calculated using an extended version of TDHF known as the time-dependent density-matrix theory (TDDM). The calculations are done in a self-consistent manner, in which the same Skyrme…

Nuclear Theory · Physics 2009-11-06 M. Tohyama

A new model is proposed for fusion mechanisms of massive nuclear systems where so-called fusion hindrance exists. The model describes two-body collision processes in an approaching phase and shape evolutions of an amalgamated system into…

Nuclear Theory · Physics 2009-11-07 Caiwan Shen , Grigori Kosenko , Yasuhisa Abe

We demonstrate that the microscopic Time-dependent Hartree-Fock (TDHF) theory provides an important approach to shed light on the nuclear dynamics leading to the formation of superheavy elements. In particular, we discuss studying…

Nuclear Theory · Physics 2017-12-06 A. S. Umar , C. Simenel , S. Ayik

The role of two-body dissipation in nuclear reactions at energies of several times Coulomb barrier remains unclear but is crucial for understanding the mechanisms of deep-inelastic reactions. In this letter, we report a systematic analysis…

Nuclear Theory · Physics 2025-08-14 Yingge Huang , Hui Wang , Erxi Xiao , Long Zhu , Jun Su

We formulate a time-dependent density functional theory (TDDFT) in terms of the density matrix to study ultrafast phenomena in semiconductor structures. A system of equations for the density matrix components, which is equivalent to the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 V. Turkowski , C. A. Ullrich
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