Properties of super-heavy elements in Hartree-Fock-Bogolubov model with the Gogny force.

M. WardaKatedra Fizyki Teoretycznej, Uniwersytet Marii Curie-Skłodowskiej,Lublin, Poland,

J. Egido, L. RobledoDepartamento de Física Teórica C-XI, Universidad Autónoma de Madrid,Madrid, Spain.

XII Nuclear Physics Workshop, Kazimierz Dolny 2005

Motivation

Recent progress in synthesis of super-heavy elements (Dermstedt, Dubna, RIKEN)

Good results of Hartree-Fock-Bogolubov theory with the Gogny force in trans-fermium nuclei

D1S Gogny force Imposed axial symmetry

Ground state properties (deformations, α decay) Fission barriers

XII Nuclear Physics Workshop, Kazimierz Dolny 2005

Deformation parameter β2

XII Nuclear Physics Workshop, Kazimierz Dolny 2005

Deformation parameter β2

XII Nuclear Physics Workshop, Kazimierz Dolny 2005

Deformation parameter β3

XII Nuclear Physics Workshop, Kazimierz Dolny 2005

Deformation parameter β4

XII Nuclear Physics Workshop, Kazimierz Dolny 2005

Deformation parameter β6

XII Nuclear Physics Workshop, Kazimierz Dolny 2005

Deformation parameter β8

XII Nuclear Physics Workshop, Kazimierz Dolny 2005

Deformation energy

XII Nuclear Physics Workshop, Kazimierz Dolny 2005

Height of fission barriers

XII Nuclear Physics Workshop, Kazimierz Dolny 2005

Height of fission barriers

XII Nuclear Physics Workshop, Kazimierz Dolny 2005

Fission barriers of element 116

N=164 N=184 N=190N=174

XII Nuclear Physics Workshop, Kazimierz Dolny 2005

Qα

XII Nuclear Physics Workshop, Kazimierz Dolny 2005

α decay half-lives

XII Nuclear Physics Workshop, Kazimierz Dolny 2005

Conclusions

Properties of the super-heavy nuclei are well described by the Gogny force calculations.

Results are in consistence with the other models and with available experimental data.

The magic numbers are deduced at N=162 (deformed ground state) and at N=182 (spherical ground state).

The isotones beyond N=184 have got octupole deformation. Following results of α decay and spontaneous fission barriers

the super-heavy nuclei around N=180 have the highest half-lives. Triaxial deformations should be included.