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Fusion reactions with light nuclei play an essential role in understanding the energy production, the nucleosynthesis of chemical elements and the evolution of massive stars. The measurement of key fusion reactions at stellar energies is…

Nuclear Experiment · Physics 2025-10-10 S. Courtin , M. Heine , E. Monpribat , J. Nippert

We study heavy-ion fusion reactions at energies near the Coulomb barrier, in particular with neutron-rich radioactive ion beams. Dynamic microscopic calculations are carried out on a three-dimensional lattice using the Density-Constrained…

Nuclear Theory · Physics 2015-06-11 V. E. Oberacker , A. S. Umar , R. Keser

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

The density-constrained time-dependent Hartree-Fock (DC-TDHF) theory is a fully microscopic approach for calculating heavy-ion interaction potentials and fusion cross sections below and above the fusion barrier. We discuss recent…

Nuclear Theory · Physics 2014-02-07 A. S. Umar , V. E. Oberacker , R. Keser , J. A. Maruh , P. -G. Reinhard

The richness of phenomena occurring in heavy-ion collisions calls for microscopic approaches where the motion of each nucleon is treated quantum mechanically. The most popular microscopic approach for low-energy collisions between atomic…

Nuclear Theory · Physics 2014-06-03 Cédric Simenel

In this manuscript we provide an outline of the numerical methods used in implementing the density constrained time-dependent Hartree-Fock (DC-TDHF) method and provide a few examples of its application to nuclear fusion. In this approach,…

Nuclear Theory · Physics 2015-02-16 V. E. Oberacker , A. S. Umar

The C(12)+C(12) => Ne(20)+He(4) fusion reaction rate is shown to be extremely sensitive to variations in the strong coupling constant. Connection with the strong coupling constant is established by using the one boson exchange potential for…

Astrophysics · Physics 2007-05-23 Malcolm Fairbairn

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

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

The Time-dependent Hartree-Fock (TDHF) theory is applied to the study of heavy ion collisions at energies around the Coulomb barrier. The competition between fusion and nucleon transfer mechanisms is investigated. For intermediate mass…

Nuclear Theory · Physics 2015-06-11 Cédric Simenel , A. Wakhle , Benoît Avez

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

The density-constrained time-dependent Hartree-Fock (DC-TDHF) theory is a fully microscopic approach for calculating heavy-ion interaction potentials and fusion cross sections below and above the fusion barrier. We discuss recent…

Nuclear Theory · Physics 2017-08-23 A. S. Umar , V. E. Oberacker , J. A. Maruhn , R. Keser

For light and medium mass systems the capture cross-section may be considered to be the same as that for complete fusion, whereas for heavy systems leading to superheavy formations the evaporation residue cross-section is dramatically…

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

In this paper we analyze the nuclear fusion rate between equal nuclei for all five different nuclear burning regimes in dense matter (two thermonuclear regimes, two pycnonuclear ones, and the intermediate regime). The rate is determined by…

[Shortened] The 12C + 12C fusion reaction has been the subject of considerable experimental efforts to constrain uncertainties at temperatures relevant for stellar nucleosynthesis. In order to investigate the effect of an enhanced carbon…

Solar and Stellar Astrophysics · Physics 2015-06-03 M. E. Bennett , R. Hirschi , M. Pignatari , S. Diehl , C. Fryer , F. Herwig , A. Hungerford , K. Nomoto , G. Rockefeller , F. X. Timmes , M. Wiescher

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

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

Nuclear reactions transform atomic nuclei inside stars. This is the process of stellar nucleosynthesis. The basic concepts of determining nuclear reaction rates inside stars are reviewed. How stars manage to burn their fuel so slowly most…

Solar and Stellar Astrophysics · Physics 2015-05-13 Alak Ray

In the search for superheavy elements quasifission reactions represent one of the reaction pathways that curtail the formation of an evaporation residue. In addition to its importance in these searches quasifission is also an interesting…

Nuclear Theory · Physics 2020-03-23 K. Godbey , A. S. Umar

Measurement of the energy dependence of the fusion cross-sec on at sub-barrier energies provides an important test for theoretical models of fusion. To extend the measurement of fusion cross-sections in the sub-barrier domain for the…

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