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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

These lecture notes are addressed to PhD student and/or researchers who want a general overview of microscopic approaches based on mean-field and applied to nuclear dynamics. Our goal is to provide a good description of low energy heavy-ion…

Nuclear Theory · Physics 2009-04-20 Cédric Simenel , Benoît Avez , Denis Lacroix

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

The coupled-channels method has been a standard tool in analyzing heavy-ion fusion reactions at energies around the Coulomb barrier. We investigate three simplifications usually adopted in the coupled-channels calculations. These are i) the…

Nuclear Theory · Physics 2016-06-22 K. Hagino , J. M. Yao

Background: The time-dependent Hartree-Fock (TDHF) theory has been successful in describing low-energy heavy ion collisions. Recently, we have shown that multinucleon transfer processes can be reasonably described in the TDHF theory…

Nuclear Theory · Physics 2014-12-24 Kazuyuki Sekizawa , Kazuhiro Yabana

The tensor force is implemented into the time-dependent Hartree-Fock (TDHF) theory so that both exotic and stable collision partners, as well as their dynamics in heavy-ion fusion, can be described microscopically. The role of tensor force…

Nuclear Theory · Physics 2018-07-19 Lu Guo , Cedric Simenel , Long Shi , Chong Yu

We present a study of fusion cross sections using a new generation Time-Dependent Hartree-Fock (TDHF) code which contains no approximations regarding collision geometry and uses the full Skyrme interaction, including all of the time-odd…

Nuclear Theory · Physics 2009-11-11 A. S. Umar , V. E. Oberacker

Background: The tensor interaction is known to play an important role in the nuclear structure studies of exotic nuclei. However, most microscopic studies of low-energy nuclear reactions neglect the tensor force, resulting in a lack of…

Nuclear Theory · Physics 2018-12-19 Lu Guo , K. Godbey , A. S. Umar

We present the first realization of Stochastic TDHF, a theory which goes beyond pure mean-field dynamics, embracing dissipation as well as fluctuations. Applications to heavy-ion collisions in the Fermi energy domain are given and analyzed…

Nuclear Theory · Physics 2009-10-30 E. Suraud , P. G. Reinhard

We employ the time-dependent Hartree-Fock (TDHF) method to study various aspects of the reactions utilized in searches for superheavy elements. These include capture cross-sections, quasifission, prediction of $P_{\mathrm{CN}}$, and other…

Nuclear Theory · Physics 2016-04-12 A. S. Umar , V. E. Oberacker

We show that the microscopic TDHF approach provides an important tool to shed some light on the nuclear dynamics leading to the formation of superheavy elements. In particular, we discuss studying quasifission dynamics and calculating…

Nuclear Theory · Physics 2016-12-30 A. S. Umar , C. Simenel

Depending on the energy regime, the dynamics of heavy-ion collisions reveals a variety of different mechanisms which are attributed to the combination of collective and dissipative effects. Semi-classical approaches have been successful in…

Nuclear Theory · Physics 2022-03-28 Hung Dinh Viet , Paolo Napolitani

Background: At energies near the Coulomb barrier, capture reactions in heavy-ion collisions result either in fusion or in quasifission. The former produces a compound nucleus in statistical equilibrium, while the second leads to a…

Nuclear Theory · Physics 2016-05-12 A. S. Umar , V. E. Oberacker , C. Simenel

The hindrance in fusion of heavy-ion reactions crops up in the region of extreme sub-barrier energies. This phenomenon can be effectively analyzed using a simple diffused barrier formula derived assuming a Gaussian distribution of fusion…

Nuclear Theory · Physics 2023-04-25 Vinay Singh , Joydev Lahiri , Partha Roy Chowdhury , D. N. Basu

Classical mechanics and Time Dependent Hartree-Fock (TDHF) calculations of heavy ions collisions are performed to study the rotation of a deformed nucleus in the Coulomb field of its partner. This reorientation is shown to be independent on…

Nuclear Theory · Physics 2009-11-10 Cedric Simenel , Philippe Chomaz , Gilles De France

We provide a discussion of issues related to the center-of-mass motion and cross-channel coupling in applications of the time-dependent Hartree-Fock (TDHF) theory to heavy-ion collisions. We find that the entrance channel dynamics of a…

Nuclear Theory · Physics 2008-12-18 A. S. Umar , V. E. Oberacker

Background: Heavy-ion fusion reactions involving heavy nuclei at energies around the Coulomb barrier exhibit fusion hindrance, where the probability of compound nucleus formation is strongly hindered compared with that in light- and…

Nuclear Theory · Physics 2017-11-10 Kouhei Washiyama

The cross section for resonant ion-pair formation in the collision of low-energy electrons with HF^+ is calculated by the solution of the time-dependent Schrodinger equation with multiple coupled states using a wave packet method. A…

Atomic Physics · Physics 2015-05-13 J. B. Roos , A. E. Orel , AA. Larson

We perform a study of $^{16}$O+$^{16}$O fusion at above and below the interaction barrier energies using three-dimensional time-dependent Hartree-Fock (TDHF) calculations at above barrier energies and density-constrained TDHF calculations…

Nuclear Theory · Physics 2013-09-03 C. Simenel , R. Keser , A. S. Umar , V. E. Oberacker

Based on the microscopic model, the friction coefficient for the relative motion of nuclei in deep-inelastic heavy-ion collisions is calculated. The radial dependence of the friction coefficient is studied and the results are compared with…

Nuclear Theory · Physics 2008-11-26 G. G. Adamian , R. V. Jolos , A. K. Nasirov , A. I. Muminov