α-particle clusterization: A reflection of shell closures

We employ a theoretical framework motivated by a microscopic phenomenological approach involving Skyrme force model to account for the interaction of Formula: see text-particle with the nucleons of Formula: see text-radioactive nucleus. The realistic calculations for Formula: see text-particle preformation probabilities (Formula: see text) of even–even nuclei whose atomic numbers lie in the range Formula: see text are performed. Through the calculations of assault frequency possessed by Formula: see text-particle, shell effects are naturally incorporated in this methodology. The obtained results are then subjected to fitting procedures, resulting in a comprehensive fit within Formula: see text-scheme. These fitted Formula: see text-particle preformation probabilities are utilized to predict the half-lives of unknown superheavy nuclei (SHN). This work not only refines our understanding about radioactive properties of these nuclei but also provides valuable insights into their stability against Formula: see text-decay and spontaneous fission (SF). Twelve Formula: see text-decay chains originating from unknown SHN have been identified in this work. The outcomes of this research would contribute to the advancement of predictive models to study the fundamental properties of SHN, offering an experimental verification as well.