Octupole deformation properties of actinide isotopes within a mean field approach

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.

17 pages, 7 figures. arXiv admin note: text overlap with arXiv:1003.4311

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• Khon-Sham Density Functional Inspired Approach to Nuclear Binding
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• Octupole deformation properties of the Barcelona-Catania-Paris energy density functionals
• Systematics of one-quasiparticle configurations in neutron-rich Sr, Zr, and Mo odd isotopes with the Gogny energy density functional
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Cited by in corpus (14)

• Spectroscopy of quadrupole and octupole states in rare-earth nuclei from a Gogny force
• Spectroscopy of reflection-asymmetric nuclei with relativistic energy density functionals
• Octupole deformation in the ground states of even-even $Z\sim 96,N\sim 196$ actinides and superheavy nuclei
• Microscopic description of fission in superheavy nuclei with the parametrization D1M${}^{\ast }$ of the Gogny energy density functional
• Microscopic description of fission in neutron-rich plutonium isotopes with the Gogny-D1M energy density functional
• Evolution of octupole deformation and collectivity in neutron-rich lanthanides
• Quadrupole-octupole coupling and the onset of octupole deformation in actinides
• Microscopic description of fission in odd-mass uranium and plutonium nuclei with the Gogny energy density functional
• Microscopic description of quadrupole-octupole coupling in neutron-rich actinides and superheavy nuclei with the Gogny-D1M energy density functional
• Microscopic description of fission in nobelium isotopes with the Gogny-D1M energy density functional
• Beyond-mean-field description of octupolarity in dysprosium isotopes with the Gogny-D1M energy density functional
• Microscopic description of quadrupole-hexadecapole coupling in radium, thorium, uranium and plutonium isotopes with the Gogny energy density functional
• Spectroscopy of low spin states in 157Dy: Search for evidence of enhanced octupole correlations
• Quadrupole-hexadecapole coupling in the rare earth region with beyond mean field correlations