Microscopic Calculation of Heavy-Ion Potentials Based on TDHF

A.S. Umar^1a, V.E. Oberacker¹, J.A. Maruhn² and P.-G. Reinhard³

¹ Department of Physics and Astronomy, Vanderbilt University, Nashville, Tennessee 37235, USA
² Institut für Theoretische Physik, Goethe-Universität, D-60438 Frankfurt am Main, Germany
³ Institut für Theoretische Physik, Universität Erlangen, D-91054 Erlangen, Germany

^a e-mail: umar@compsci.cas.vanderbilt.edu

Published online: 19 October 2011

Abstract

We discuss the implementation and results of a recently developed microscopic method for calculating ion-ion interaction potentials and fusion cross-sections. The method uses the TDHF evolution to obtain the instantaneous many-body collective state using a density constraint. The ion-ion potential as well as the coordinate dependent mass are calculated from these states. The method fully accounts for the dynamical processes present in the TDHF time-evolution and provides a parameter-free way of calculating fusion cross-sections.