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

TL;DR

This paper investigates transfer reactions between superfluid nuclei using time-dependent Hartree-Fock-Bogoliubov trajectories, introducing a triple projection method to accurately compute transfer probabilities in realistic nuclear reactions.

Contribution

It develops a triple projection method within TDHFB to restore gauge symmetry and accurately calculate transfer probabilities in nuclear reactions.

Findings

Method successfully tested on toy model with good agreement to exact solutions.

Applied to $^{20}$O+$^{20}$O and $^{14}$O+$^{20}$O reactions with realistic Gogny interaction.

Provides a new approach for studying transfer reactions in superfluid nuclei.

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.