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Abstract: We discuss the octupole deformation properties of the recently proposedBarcelona-Catania-Paris BCP energy density functionals for two sets ofisotopes, those of radium and barium, where it is believed that octupoledeformation plays a role in the description of the ground state. The analysisis carried out in the mean field framework Hartree- Fock- Bogoliubovapproximation by using the axially symmetric octupole moment as a constraint.The main ingredients entering the octupole collective Hamiltonian are evaluatedand the lowest lying octupole eigenstates are obtained. In this way we restore,in an approximate way, the parity symmetry spontaneously broken by the meanfield and also incorporate octupole fluctuations around the ground statesolution. For each isotope the energy of the lowest lying $1^{-}$state and the$BE1$ and $BE3$ transition probabilities have been computed and compared toboth the experimental data and the results obtained in the same framework withthe Gogny D1S interaction, which are used here as a well established benchmark.Finally, the octupolarity of the configurations involved in the way down tofission of $^{240}$Pu, which is strongly connected to the asymmetric fragmentmass distribution, is studied. We confirm with this thorough study thesuitability of the BCP functionals to describe octupole related phenomena.



Author: L.M. Robledo, M. Baldo, P. Schuck, X. Viñas

Source: https://arxiv.org/







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