Time-dependent Hartree-Fock Description of Heavy-ion Collisions. Progress Report

Time-dependent Hartree-Fock Description of Heavy-ion Collisions. Progress Report

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Published: 1982

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Given the theoretical difficulties in establishing the validity of the TDHF approximation, it is perhaps most effective at this time to assess the results of the TDHF calculations by comparing them, insofar as is possible, with experimental results. In this task we shall be limited by the fact that the TDHF approximation does not yield an inclusive description of nuclear reactions, but rather an exclusive description of nuclear collisions. Thus the semi-classical nature of the approximation which offers such a simple picture of certain gross properties, at the same time effectively prohibits the acquisition of detailed channel information. In spite of this we shall still succeed in showing rather good agreement between theory and experiment for the particular reactions which result in fusion or in deep inelastic collisions. The structure of this review is as follows. The TDHF equations are derived and briefly discussed. The effective interaction employed in the calculations is described, and some technical aspects of the calculations are discussed. Fusion results are presented along with a brief discussion of deep inelastic collisions. Finally, the results are summarized. (WHK).


Time Dependent Hartree-Fock Theory

Time Dependent Hartree-Fock Theory

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Published: 1984

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Some TDHF applications are addressed that are somewhat subtler than just crashing nuclei together and looking at large chunks of nuclear material. I will also attempt to address some of the technical problems of doing TDHF and also point out some areas where work remains to be done. Topics include promptly emitted particles, large amplitude RPA, and exciting giant resonances in heavy ion collisions. 19 references. (WHK).


Nonrelativistic Theory of Heavy-ion Collisions

Nonrelativistic Theory of Heavy-ion Collisions

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Published: 1984

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A wide range of phenomena is observed in heavy-ion collisions, calling for a comprehensive theory based on fundamental principles of many-particle quantum mechanics. At low energies, the nuclear dynamics is controlled by the mean field, as we know from spectroscopic nuclear physics. We therefore expect the comprehensive theory of collisions to contain mean-field theory at low energies. The mean-field theory is the subject of the first lectures in this chapter. This theory can be studied quantum mechanically, in which form it is called TDHF (time-dependent Hartree-Fock), or classically, where the equation is called the Vlasov equation. 25 references, 14 figures.