Frontiers in Nuclear and Particle Physics

Frontiers in Nuclear and Particle Physics

Volume: 2

Progress of Time-Dependent Nuclear Reaction Theory

This book is a compilation of the latest theoretical methods for treating models in nuclear reactions. Initial chapters in this volume explain different aspects of time-dependent nuclear density ...
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Density constrained TDHF

Pp. 19-39 (21)

V.E. Oberacker and A.S. Umar

Abstract

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, dynamic microscopic calculations are carried out on a three-dimensional lattice and there are no adjustable parameters, the only input is the Skyrme effective NN interaction. After a review of the DC-TDHF theory and the numerical methods, we present results for heavy-ion potentials V (R), coordinate-dependent mass parameters M(R), and precompound excitation energies E*(R) for a variety of heavy-ion reactions. Using fusion barrier penetrabilities, we calculate total fusion cross sections σ(Ec:m:) for reactions between both stable and neutron-rich nuclei. We also determine capture cross sections for hot fusion reactions leading to the formation of superheavy elements.

Keywords:

TDHF, DC-TDHF, heavy-ion fusion, neutron-rich nuclei, superheavy elements

Affiliation:

Department of Physics and Astronomy, Vanderbilt University, Nashville, TN 37235, USA.