Deformation energy of superheavy nuclei

We study the nuclear deformation energy of superheavy nuclei by using the macroscopic - microscopic method. Nuclear shape is determined by three independent shape coordinates: separation distance between the fragment centres; mass asymmetry, and neck radius. The Yukawa-plus-exponential model gives the macroscopic energy. Shell and pairing (microscopic) corrections are calculated on the basis of a superasymmetric two-centre shell model. Various spherical magic numbers in the region of superheavy nuclei are obtained by changing the strength of the spin-orbit coupling in the two-centre shell model. A complete set of κ and μ values have been obtained leading to magic numbers up to 126 for protons and 184 for neutrons (including Z=114, 120 and N=172). Potential energy surfaces for nuclei 280108, 298114, and 304120 are plotted versus the separation distance and mass asymmetry. Compact shapes, typical for synthesis by fusion reactions or cold fission, are assumed. (author)