Decay studies of ²⁸⁸⁻²⁸⁷115 alpha-decay chains

The $\alpha$-decay chains of $^{288-287}115$ are studied along with the possible cluster decay modes by using the preformed cluster model (PCM). The calculated $\alpha$-decay half-lives are compared with experimental data and other model calculations. The calculated Q-values, penetration probabilities and preformation probabilities factors for $\alpha$-decay suggest that $^{283}_{170}113$,$^{287}_{172}115$ and $^{272}_{165}107$ parent nuclei are more stable against the $\alpha$-decay. These alpha decay chains are further explored for the possibilities of cluster decay. Decay half lives of different cluster from different nuclei of the decay chains point to the extra stability near or at the deformed shells Z=108, N=162 and Z=100, N=152. The decay half-lives for $^{14}C$ and $^{48}Ca$ clusters are lower than the current experimental limit ($\approx$ $10^{28}$sec).