Mass and lifetime of unstable nuclei in covariant density functional theory

The influence of the neutron-rich nuclear masses with N = 82 and 126 predicted by finite-range droplet model and Weizsäcker-Skyrme models on the r-process calculation, and the constraint of the astrophysical conditions by reproducing the observed r-process abundance peaks at A = 80, 130 and 195, reflect the importance of the nuclear inputs for r-process calculation and the constraint of the astrophysical conditions. The covariant density functional theory (CDFT) with a small number of parameters allows for a very successful description of the ground-state and excited-state properties for the nuclei all over the nuclear chart. The recent advances on the nuclear masses and β-decay half-lives of exotic nuclei in CDFT as well as their influence on the r-process calculation are reviewed.