Mean field study of structural changes in Pt isotopes with the Gogny interaction

Abstract

The evolution of the nuclear shapes along the triaxial landscape is studied in the Pt isotopic chain using the self-consistent Hartree-Fock-Bogoliubov approximation based on the Gogny interaction. In addition to the parametrization D1S, the new incarnations D1N and D1M of this force are also included in our analysis to assess to which extent the predictions are independent of details of the effective interaction. The considered range of neutron numbers 88 N 126 includes prolate, triaxial, oblate, and spherical ground-state shapes and serves as a detailed comparison of the predictions obtained with the new sets D1N and D1M against the ones provided by the standard parametrization Gogny-D1S in a region of the nuclear landscape for which experimental and theoretical fingerprints of shape transitions have been found. Structural evolution along the Pt chain is discussed in terms of the deformation dependence of single-particle energies.

Collective structural evolution in neutron-rich Yb, Hf, W, Os, and Pt isotopes

“…Although the D1S parametrization of the Gogny force is considered a global EDF able to describe many low-energy nuclear data with reasonable predictive power (see, for example, Refs. [41,55,56] and references therein), in this paper we preferred to use the Gogny-D1M functional [57]. Systematic explorations of different nuclear phenomena [55,57], including properties of odd nuclei computed within the equal-filling approximation [24][25][26], suggest that the new parametrization of the Gogny-EDF is as good as the standard D1S, a fact that we intend to confirm in this paper.…”

“…The evolution of the nuclear ground states in this mass region was investigated recently with the constrained self-consistent mean-field method with microscopic EDFs [9,56,62]. Both the (constrained) Hartree-Fock + BCS (HF + BCS) and the HFB approximations were used to compute energy surfaces with quadrupole degrees of freedom in order to give a microscopic insight into shape transitions [9,55,56]. It was shown in these studies that the triaxiality is an important ingredient to describe the evolution from prolate to oblate shapes, irrespective of the types of EDFs used.…”

Fission barriers in covariant density functional theory: Extrapolation to superheavy nuclei

“…However, this reduction has a strong dependence on the particle number in the proton and neutron subsystems as well as on the applied model. These investigations were performed in the following frameworks: microscopic+macroscopic (MM) methods [4][5][6][7][8][9], the extended Thomas-Fermi plus Strutinsky integral (ETFSI) method [10], and non-relativistic energy density functionals (EDF) based on zero-range Skyrme [2,[11][12][13] and finite-range Gogny [3,[14][15][16] forces, and recently in covariant density functional theory (CDFT) [1,17,18].…”

Fission barriers in actinides in covariant density functional theory: The role of triaxiality

“…However, this lowering strongly depends on the proton and neutron numbers and on the model employed. The investigations of inner fission barriers with triaxiality included are available within the frameworks of the microscopic+macroscopic method [9][10][11][12][13], the extended Thomas-Fermi plus Strutinsky integral [14], and non-relativistic energy density functionals based on Skyrme [7,[15][16][17] and Gogny [8,18,19] forces.…”