Particle transfer reactions with the time-dependent Hartree-Fock theory using a particle number projection technique

TL;DR

This paper employs a particle-number projection technique combined with time-dependent Hartree-Fock theory to accurately calculate transfer probabilities in nuclear reactions, showing good agreement with experimental data without parameter tuning.

Contribution

It introduces a novel application of particle-number projection within TDHF to improve transfer probability calculations in nuclear reactions.

Findings

Good agreement with experimental transfer data

Method effectively captures proton-transfer channels

Framework can be extended to include cluster transfers

Abstract

A particle-number projection technique is used to calculate transfer probabilities in the $^{16}$O+$^{208}$Pb reaction below the fusion barrier. The time evolution of the many-body wave function is obtained with the time-dependent Hartree-Fock (TDHF) mean-field theory. The agreement with experimental data for the sum of the proton-transfer channels is good, considering that TDHF has no parameter adjusted on reaction mechanism. Some perspectives for extensions beyond TDHF to include cluster-transfers are discussed.