Transfer probabilities for the reactions ${}^{14,20}$O+${}^{20}$O in terms of multiple time-dependent Hartree-Fock-Bogoliubov trajectories

Abstract

The transfer reaction between two nuclei in the superfluid phase is studied with the Time-dependent Hartree-Fock-Bogoliubov (TDHFB) theory. In order to restore the symmetry of the relative gauge angle a set of independent TDHFB evolutions is done. Then the transfer probability is computed using a triple projection method. This method is first tested to determine the transfer probabilities on a toy model and compared to the exact solution. It is then applied to the reactions ${}^{20}$O+${}^{20}$O and ${}^{14}$O+${}^{20}$O in a realistic framework with a Gogny interaction.

6 figures, 6 pages

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Cited by in corpus (4)

• TDHF Theory and Its Extensions for the Multinucleon Transfer Reaction: a Mini Review
• Enhanced nucleon transfer in tip collisions of ${}^{238}$U+${}^{124}$Sn
• The time-dependent generator coordinate method in nuclear physics
• Microscopic description of pair transfer between two superfluid systems (II): a quantum mixing of Time-Dependent Hartree-Fock Bogolyubov trajectories