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

. We provide a novel systematization of -decaying nuclei, starting with the classically adopted mechanism. The decay half-life of an -disintegrating nucleus is framed, supposing that i) the -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 -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.