Structure and synthesis for superheavy element based on relativistic mean field theory and research on nuclide beyond drip-line

The studies on structure and reaction for superheavy elements are reviewed. Based on constrained relativistic mean field (CRMF) theory, binding energies of elements from Z=102 to Z=112, which can be measured experimentally, as a function of deformation are calculated, and the properties of equilibrium and saddle point of these nuclides are obtained. Using the single particle levels based on CRMF, the shell effects are obtained with Strutinsky method. The cross sections of the cold fusion are estimated by applying the structure information. Theoretical result and experimental measure are in a good agreement, and the theoretical prediction of cross section of element Z=118 is one order small than the earlier prediction and more close to the experimental upper limit. The influences of the physical quantity on the cross section are discussed. Finally, the description for nuclei beyond the drip-line, e.g., 1800Sn, is given by Relativistic Continuum Hartree-Bogoliubov theory