Potential energy surfaces and spectra of superheavy elements

The potential energy surfaces of some superheavy nuclei are determined, using a mapping from the microscopic shell model space to a geometrical model. The content of the shell model space is determined through the knowledge of the absolute deformation and a single-particle spectrum as a function of deformation. Both have to be extracted from a microscopic model. We show that one cannot restrict to only prolate or oblate deformations because the content of the microscopic space already implies triaxiality. Also cases of γ instability occur. The mass parameter of ²⁵⁴No is determined through the knowledge of at least one rotational state of the ground-state band. Assuming the same mass parameter for the other superheavy elements, the spectrum of each of them is determined. The following superheavy nuclei are considered: ²⁵⁴No, ²⁶⁰Rf, ²⁶²Sg, ²⁷⁰Hs, ²⁷⁴110(Ds), ²⁷⁶112, and ²⁹⁰114, where ²⁶⁰Rf and ²⁶²Sg turn out to be γ unstable.