Decay vertex reconstruction and 3-dimensional lifetime determination at BESIII

This paper focuses mainly on the vertex reconstruction of resonance particles with a relatively long lifetime such as K-S(0), Lambda, as well as on lifetime measurements using a 3-dimensional fit. The kinematic constraints between the production and decay vertices and the decay vertex fitting algorithm based on the least squares method are both presented. Reconstruction efficiencies including experimental resolutions are discussed. The results and systematic errors are calculated based on a Monte Carlo simulation.