Branching ratios of $α$-decay to excited states of even-even nuclei

Abstract

We make a systematic calculation on $α$-decay branching ratios to members of ground-state rotational band and to excited $0^{+}$ states of even-even nuclei by a simple barrier penetration approach. The branching ratios to the excited states of daughter nucleus are determined by the $α$-decay energy, the angular momentum of $α$-particle, and the excitation probability of the daughter nucleus. Our calculation covers isotopic chains from Hg to Fm in the mass regions 180$<$A$<$202 and A$\geq$224. The calculated branching ratios of $α$-transitions are consistent with the experimental data. Some useful predictions are made for future experiments.