Octupole deformation properties of actinide isotopes within a mean-field approach

• Published in: Journal of physics. G, Nuclear and particle physics Vol. 39; no. 10; pp. 105103 - 15
• Main Authors: Robledo, L M, Rodríguez-Guzmán, R R
• Format: Journal Article
• Language: English
• Published: Bristol IOP Publishing 01.10.2012; Institute of Physics
• Subjects: actinide isotopes; Actinides; Approximation; Deformation; Energy (nuclear); Evolution; Exact sciences and technology; Isotopes; Mathematical analysis; negative-parity octupole states; Nuclear physics; nuclear structure; Particle physics; Physics; The physics of elementary particles and fields; Transition probabilities; Hartree-Fock calculations; Uncertainty; Deformation; Neutrons; Energy density; Octupoles; Parameterization; Axial symmetry; Octupolar moment; Density functional; Hamiltonians; E1-transitions; Excitation energy; Parity; Mathematical physics; Nuclear physics
• ISSN: 0954-3899; 1361-6471
• DOI: 10.1088/0954-3899/39/10/105103

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 such as excitation energies or the E1 and E3 transition probabilities of the negative-parity band-heads associated with 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 with 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.