This paper studies the mid-rapidity anti-proton to proton ratio in Au + Au collisions at (S_(NN))~(1/2) = 200 GeV. The data is generated with NEXUS model, which is a new hadronic interaction model. The dependenced of the ratio on centrality is presented within different regions of transverse momentum and rapidity. As a result, there is no strong centrality dependence for the mid-rapidity ratio. The p-bar/p ratio in the range of mid-rapidity is independent of either transverse momentum or rapidity. The average mid-rapidity ratio in this model is...