Octupole deformation properties of actinide isotopes within a mean field approach

TL;DR

This paper investigates octupole deformation in actinide isotopes using a mean field approach, analyzing excitation energies and transition probabilities, and comparing results across different energy density functionals.

Contribution

It introduces a comprehensive mean field analysis of octupole properties in actinides using various energy density functionals to improve understanding of nuclear deformation.

Findings

Evolution of octupole properties with neutron number

Comparison with experimental data shows good agreement

Results are consistent across different energy density functionals

Abstract

We discuss the octupole deformation properties of many even-even actinide isotopes. The analysis is carried out in the mean field framework (Hartree-Fock-Bogoliubov approximation) by using the axially symmetric octupole moment as a constraint. A one-dimensional octupole collective Hamiltonian is used to obtain properties like excitation energies or $E1$ and $E3$ transition probabilities of the negative parity band-heads associated to the lowest lying $1^{-}$ and $3^{-}$ states. The evolution of these values with neutron number is discussed and a comparison with available experimental data is made. In order to minimize the uncertainties associated to the energy density functional used, the calculations have been carried out for an assorted set ranging from the BCP1 functional to the finite range Gogny interaction with the D1S, D1N and D1M parametrization.