α−α correlations in nuclei above the doubly-magic Pb208 nucleus

Abstract

The properties of the $^{216}\mathrm{Rn}$ nucleus have been investigated using $\ensuremath{\alpha}\text{\ensuremath{-}}^{212}\mathrm{Po}$ and $^{8}\mathrm{Be}\text{\ensuremath{-}}^{208}\mathrm{Pb}$ systems with each interacting via a cluster model local interaction, and with a three-body $\ensuremath{\alpha}\text{\ensuremath{-}}\ensuremath{\alpha}\text{\ensuremath{-}}^{208}\mathrm{Pb}$ system within the coupled-channel formalism. The energies, transition probabilities, and cluster decay half-lives are compared with available experimental data. The two-body configurations are found to yield similar results, in fair agreement with the existing experimental data. The three-body system yields energy spectra and wave functions whose lowest energy states provides satisfactory and better description of the nucleus.