New approach to studying alpha decay and cluster radioactivity using an extended form of the Sextic potential

Abstract In this study, we systematically investigate the α decay half-lives of 263 emitters in the region and clusters 14 C, 20 O, 23 Fe, 24,25,26 Ne, 28,30 Mg, and 32,34 Si in the presence of an extended form of the Sextic potential to describe the strong nuclear interaction between the daughter nucleus and cluster in the parent nucleus using the Wentzel-Kramers-Brillouin (WKB) method. We find nuclear potential parameters that explain the decay mechanism for each variety of cluster and show that this form of double-well potential provides an excellent description of the nuclear decay phenomenon. We highlight constraints between the potential parameters and experimental data. Moreover, we emphasize the importance of the coupling parameters of the nuclear potential in the nature of the preformed cluster. The obtained results are compared with experimental and literature data. Our results are in very good agreement with the experimental data.