Potential energy surfaces of mercury up to uranium isotopes in the 4D Fourier shape parametrisation

The potential energy landscapes of Hg-U nuclei were calculated within the macroscopic microscopic method with a Fourier nuclear shape parametrisation and the Lublin-Strasbourg Drop for the macroscopic energy. Microscopic corrections based on the Yukawa folded single-particle potential were obtained with the Strutinsky shell-correction method and the BCS approximation. The energy landscapes of even even isotopes of Hg, Po, Ra and U were analysed in a 4-dimensional deformation space and projected onto the quadrupole octupole plane. Extrema, ridges and valleys were localized and the electric quadrupole moments in these minima were evaluated. A comparison with the experimental data for the ground state is shown for the Hg isotopes. (authors)