On spontaneous fission and alpha-decay half-lives of atomic nuclei

TL;DR

This paper demonstrates that a simple Gamow-like model with minimal parameters can accurately predict alpha-decay and spontaneous fission half-lives of various nuclei, outperforming more complex theories.

Contribution

It introduces a minimal-parameter Gamow-like model for half-life predictions, effectively describing even-even, odd-A, and odd-odd nuclei, and extends a historical model for spontaneous fission.

Findings

Accurately reproduces alpha-decay half-lives for nuclei with Z>50.

Effectively models spontaneous fission half-lives of transactinide nuclei.

Outperforms more advanced theories in data reproduction accuracy.

Abstract

It is shown, that the Gamow-like model with only one adjustable parameter - radius constant is able to reproduce well the alpha-decay half-lives for all even-even nuclei with the proton number larger than 50. The systematics for odd-A and odd-odd isotopes can be also well described when ones introduces an additional hindrance factor. Similar model based on the W. J. Swiatecki idea from 1955 is developed to reproduce the spontaneous fission half-lives of transactinide nuclei. The achieved accuracy of reproduction of the data is better than that obtained in more advanced theories.