Abstract
To describe the fusion cross sections with a method that includes the superfluidity and to understand the impact of pairing on both the fusion barrier and cross sections, we propose a real-space particle- and pairing-density-constrained scheme of the time-dependent Hartree-Fock-Bogoliubov (TDHFB) method and a definition of TDHFB particle current. Using the Gogny-TDHFB code, this scheme is applied to investigate the fusion reactions of $^{40}\mathrm{Ca}+^{40}\mathrm{Ca}, ^{40}\mathrm{Ca}+^{44}\mathrm{Ca}$, and $^{40}\mathrm{Ca}+^{48}\mathrm{Ca}$ by comparison. The results show that this density-constrained TDHFB scheme is reliable for analysis of the collision processes involved with superfluid nuclei.
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