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

TL;DR

This paper investigates how the probability of forming an alpha particle during decay depends on the angular momentum and nuclear deformation, using a dinuclear system approach for actinide nuclei.

Contribution

It introduces a model that accounts for deformation effects on alpha-decay spectroscopic factors, extending beyond simple energy considerations.

Findings

Spectroscopic factors depend on angular momentum and nuclear shape.

Deformation parameters influence alpha-decay probabilities.

Results applicable to actinide nuclei from Ra to Pu.

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.