α-decay lifetime in superheavy nuclei with A>282

Nuclei with A>282 have been studied in the relativistic mean field approach using the force FSU Gold and a zero range pairing interaction. The Euler-Lagrange equations have been solved in the coordinate space. The α-nucleus potential has been constructed with the density-dependent M3Y interaction (DDM3Y1), which has an exponential density dependence, in the double folding model using the nucleon densities in the daughter nucleus and the α particle. Half-lives of α decay have been calculated for tunneling of the α particle through the potential barrier in the WKB approximation and assuming a constant preformation probability. The resulting values agree well with experimental measurements