Year: 2019
Type: article
Abstract: Background: The density-constrained time-dependent Hartree-Fock method is currently a 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-constrained method is tested first on the following reactions without pairing, $^{16}\mathrm{O}+^{16}\mathrm{O}$ and $^{40}\mathrm{Ca}+^{40}\mathrm{Ca}$. A new method is developed, the density-constrained time-dependent Hartree-Fock-Bogoliubov method. Using the Gogny-TDHFB code, it is applied to the reactions $^{20}\mathrm{O}+^{20}\mathrm{O}$ and $^{44}\mathrm{Ca}+^{44}\mathrm{Ca}$.Results: The Gogny approach reproduces the experimental data well for reaction $^{16}\mathrm{O}+^{16}\mathrm{O}$ and $^{40}\mathrm{Ca}+^{40}\mathrm{Ca}$. 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.
Source: Physical Review C
Authors: Guillaume Scamps, Yukio Hashimoto
Institutions: Université Libre de Bruxelles, University of Tsukuba
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
Awards: G1647085534, G7062732119
OpenAlex ID: W2934421993