Investigation of β--decay half-life and delayed neutron emission with uncertainty analysis

beta-decay half-life and beta-delayed neutron emission (beta(n)) are of great importance in the development of basic science and industrial applications, such as nuclear physics and nuclear energy, where beta(-)-decay plays an important role. Many theoretical models have been proposed to describe beta-decay half-lives, whereas the systematic study of beta(n) is still rare. This study aimed to investigate beta(-)-decay half-lives and beta(n) probabilities through analytical formulas and by comparing them with experimental data. Analytical formulas for beta(-)-decay properties have been proposed by considering prominent factors, that is, decay energy, odevity, and the shell effect. The bootstrap method was used to simultaneously evaluate the total uncertainty on calculations, which was composed of statistic and systematic uncertainties. beta(-)-decay half-lives, beta(n) probabilities, and the corresponding uncertainties were evaluated for the neutron-rich region. The experimental half-lives were well reproduced. Additional predictions are also presented with theoretical uncertainties, which helps to better understand the disparity between the experimental and theoretical results.

Automated summary

The importance of beta-decay half-life and beta-delayed neutron emission (beta(n)) in basic science and industrial applications, such as nuclear physics and nuclear energy, was discussed. The study used analytical formulas and compared them with experimental data to investigate beta-decay half-lives and beta(n) probabilities.