Double magic nuclei for Z > 82 and N > 126

The "island of stability" of superheavy nuclei due to shell effects is explored and the alpha-decay half-lives of these nuclei are predicted. The calculations of the binding energies within a new macroscopic-microscopic model (MMM) are performed and compared with the experimental data for heavy nuclei from Md to the Z = 118 element. The agreement is excellent. The data confirm that the (270)Hs is a deformed double submagic nucleus beyond Pb-208. The features of alpha-decay energies and one-proton-separation energies from the MMM reveal that the next double magic nucleus after (270)Hs should be (298)114. The potential energy surfaces calculated within the constrained relativistic mean-field (CRMF) theory show that the (270)Hs is a deformed double magic nucleus, but (298)114 is a spherical double magic nucleus. The alpha-decay half-lives are determined using a generalized liquid drop model (GLDM) with the Q(alpha) from the MMM for Hs and Z = 114 isotopes, respectively.