Multi-deformed Configurations and Shape Coexistence for Superheavy Elements

We use the considered axial deformed relativistic mean field theory to perform systematical calculations for Z=112 and 104 isotopic chains with force parameters NL3, NL-SH and NL-Z2 sets. Three deformed chains (oblate, moderate prolate and super-deformed chain) are found for Z=112 and 104 isotopic chains. It is found that there is a chain of super-deformed nuclei which can increase the stability of superheavy nuclei in the Z=112 isotopic chain. Shape coexistence is found for Z=112, 104 isotopic chain and the position is defined. For moderate prolate deformed chains of Z=112 and 104, there is shell closure at N=184 for moderate prolate deformed chain. For oblate deformed chain of Z=112, the shell closure appears around at N=176. For super-deformed chains of Z=112 and 104, the position of shell closure have strong parameter dependence. There is shell anomalism for oblate or superdeformed nuclei.