Density-constraint Time-dependent Hartree-Fock-Bogoliubov method
Abstract
Background: The Density-constraint Time-dependent Hartree-Fock method is currently the tool of choice to predict fusion cross-sections. However, it does not include pairing correlations, which have been found recently to play an important role. Purpose: To describe the fusion cross-section with a method that includes the superfluidity and to understand the impact of pairing on both the fusion barrier and cross-section. Method: The density-constraint method is tested first on the following reactions without pairing, O+O and Ca+Ca. A new method is developed, the Density-constraint Time-dependent Hartree-Fock-Bogoliubov method. Using the Gogny-TDHFB code, it is applied to the reactions O+O and Ca+Ca. Results: The Gogny approach for systems without pairing reproduces the experimental data well. The DC-TDHFB method is coherent with the TDHFB fusion threshold. The effect of the phase-lock mechanism is shown for those reactions. Conclusions: The DC-TDHFB method is a useful new tool to determine the fusion potential between superfluid systems and to deduce their fusion cross-sections.
Keywords
Cite
@article{arxiv.1904.02945,
title = {Density-constraint Time-dependent Hartree-Fock-Bogoliubov method},
author = {G. Scamps and Y. Hashimoto},
journal= {arXiv preprint arXiv:1904.02945},
year = {2019}
}
Comments
8 pages, 11 figures