Calculations based on the relativistic mean field framework have been carried out for the ground state properties of the relevant nuclei appearing in the $\alpha$-emission chain of superheavy element $Z=112$. The calculations compare well with the experiment. The calculated densities along with the energy and the density dependent M3Y effective nucleon-nucleon interaction are used in the double folding model to compute the respective total interaction energies. These, in turn are used to calculate the half-lives of the parent nuclei against the split into an $\alpha$ and the daughter in the WKB approximation. The calculations are repeated for the nuclei appearing in the $4n+2$ $\alpha$ chain for a comparative study. The sensitivity of the calculated half-lives on the input information, especially the $Q$ values are quantitatively investigated.

• Received 3 June 2003

DOI:https://doi.org/10.1103/PhysRevC.68.044316