Investigations of β?-Decay Half-life and Delayed Neutron Emission with uncertainty analysis

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