A novel approach to the systematization of $\alpha$-decaying nuclei, based on shell structures

Abstract.

We provide a novel systematization of $\alpha$-decaying nuclei, starting with the classically adopted mechanism. The decay half-life of an $\alpha$-disintegrating nucleus is framed, supposing that i) the $\alpha$-particle is born inside the parent, then ii) it keeps on hitting the barrier, while it runs back and forth inside the parent, and hitting each time the barrier, and iii) it finally tunnels through the barrier. One can, knowing the decay half-life, consider the probability that the $\alpha$-particle is born within the parent, before it is emitted, as a parameter. Under all circumstances, the decay appears to be governed by the shell structure of the given nucleus. Our approach well allows to incorporate (not only even-even nuclei, but) all nuclei, decaying via throwing an alpha particle. Though herein, we limit ourselves with just even-even nuclei, in the aim of comparing our results with the existing Geiger-Nuttal results.