Angular momentum dependence of $\alpha$-decay spectroscopic factors

Abstract

The probabilities to form an $\alpha$-particle on the surface of heavy nuclei (spectroscopic factors) in the states of different angular momenta are calculated within the dinuclear system (DNS) approach. It is shown that this dependence is determined not only by the energies of the excited states of the daughter nucleus, as is suggested by the Boltzmann distribution, but also by its quadrupole and octupole deformation parameters. The calculations were performed for actinide nuclei $^{222-228}$Ra, $^{222-232}$Th, $^{226-236}$U, and $^{234-242}$Pu. The results obtained will be useful in the future studies on the fine structure of alpha-decay.