Systematics of α-decay and Spontaneous Fission half-lives of Super-heavy Nuclei

Simple relationships derived from the systematics of data and calculated alpha-decay and spontaneous fission half-lives are used to predict half-lives and branches for many still unknown super-heavy nuclei. Half-life calculations are performed within the shell model rate theory for alpha-decay, and a dynamical approach for spontaneous fission defined essentially by the shape, the hightof fission barrier, the fissility and nuclear deformations. Extensive half-lives predictions are made for many unknown super-heavy nuclei. The comparison of the behavior of measured alpha-decay properties with expectations from theoretical approximations (with and without; finite size corrections, resonance scattering effects, deformations and shell structure) provides insight into the accuracy of current nuclear models for the reaction dynamics and structure.