Simple relationships for α-decay half-lives

Abstract

The universal curve for α-decay and cluster radioactivities based on the fission approach of these decay modes is compared with the universal decay law derived using α-like R-matrix theory for a total of 534 α-emitters in four groups: even–even, even–odd, odd–even and odd–odd. The standard deviations of calculated half-lives from the experimental ones are comparable in the two cases. Large absolute values of deviations from experimental data which are found in the neighborhood of magic numbers of neutrons 126, 162 and 172, and magic numbers of protons 82 and 108 are explained by a part of shell effects which are not taken into account.