Time-dependent Hartree-Fock Study of Octupole Vibrations in doubly magic nuclei

TL;DR

This study uses time-dependent Hartree-Fock theory to analyze octupole vibrations in doubly magic nuclei, providing insights into their energies and transition amplitudes, with results closely matching experimental data.

Contribution

It applies TDHF with Skyrme functional to compute low-lying octupole vibrational modes, highlighting the effects of residual interactions on their energies.

Findings

Energies are close to experimental values.

Transition amplitudes are underestimated by TDHF.

Residual interactions lower collective vibration energies.

Abstract

Octupole vibrations are studied in some doubly magic nuclei using the time-dependent Hartree-Fock (TDHF) theory with a Skyrme energy density functional. Through the use of the linear response theory, the energies and transition amplitudes of the low-lying vibrational modes for each of the nuclei were determined. Energies were found to be close to experimental results. However, transition amplitudes, quantified by the deformation parameter $\beta_3$, are underestimated by TDHF. A comparison with single-particle excitations on the Hartree-Fock ground-state shows that the collective octupole vibrations have their energy lowered due to attractive RPA residual interaction.