Abstract
The -decay chain of 118, first proposed in the Berkeley cold fusion experiment Pb(Kr,1n) and now retracted, is calculated by using the preformed cluster model (PCM) of one of us (RKG). Also, the possible branchings of -particles to heavier cluster decays of all the parents in this chain are calculated for the first time. The calculated Q-values, penetrabilities and preformation factors for -decays suggest that the 114 nucleus with Z=114, N=171 is a magic nucleus, either due to the magicity of Z=114, or of N=172 or of both. The N=172 is proposed to be a magic number in certain relativistic mean-field calculations, but with Z=120. The calculated cluster decays point to new interesting possibilities of C decay of the 112 parent, giving rise to a (reasonably) deformed Z=106, N=161, 106 daughter (N=162 being now established as the deformed magic shell) or to a doubly magic Ca cluster emitted from any of the parent nucleus in the -decay chain. Apparently, these are exciting new directions for future experiments.
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